Multiplying Decimals By Whole Numbers For Kids

Multiplying Decimals By Whole Numbers For Kids

Multiplying decimals by whole numbers can be made easier with a step-by-step approach. Here’s a detailed explanation with examples.

Steps to Multiply Decimals by Whole Numbers

  1. Ignore the Decimal Point Temporarily: First, treat the decimal number as if it were a whole number. This simplifies the multiplication process.
  2. Multiply as Usual: Multiply the whole number by this “new” whole number (the decimal number without the decimal point).
  3. Count the Decimal Places: After multiplying, count the number of decimal places in the original decimal number.
  4. Place the Decimal Point: Place the decimal point in the result. It should have the same number of decimal places as the original decimal number.
  5. Check and Adjust: Ensure that the decimal point is placed correctly, and adjust if needed.

Steps to Multiply Decimals by Whole Numbers

Example 1: Multiplying 3.6 by 4

Step 1: Ignore the decimal point in 3.6.

  • Treat 3.6 as 36.

Step 2: Multiply 36 by 4.

  • 36×4=144

Step 3: Count the number of decimal places in 3.6.

  • 3.6 has 1 decimal place.

Step 4: Place the decimal point in the result.

  • Since 3.6 has 1 decimal place, 144 becomes 14.4.

Final Answer: 3.6×4=14.4

Example 2: Multiplying 5.25 by 3

Step 1: Ignore the decimal point in 5.25.

  • Treat 5.25 as 525.

Step 2: Multiply 525 by 3.

  • 525×3=1575

Step 3: Count the number of decimal places in 5.25.

  • 5.25 has 2 decimal places.

Step 4: Place the decimal point in the result.

  • Since 5.25 has 2 decimal places, 1575 becomes 15.75.

Final Answer: 5.25×3=15.75

Example 3: Multiplying 0.9 by 6

Step 1: Ignore the decimal point in 0.9.

  • Treat 0.9 as 9.

Step 2: Multiply 9 by 6.

  • 9×6=54

Step 3: Count the number of decimal places in 0.9.

  • 0.9 has 1 decimal place.

Step 4: Place the decimal point in the result.

  • Since 0.9 has 1 decimal place, 54 becomes 5.4.

Final Answer: 0.9×6=5.4

Visual Examples

Example 4: Multiplying 2.5 by 3

Let’s visualize one of these examples.

  1. Ignore the Decimal: Treat 2.5 as 25.
  2. Multiply: 25×3=75
  3. Decimal Places: 2.5 has 1 decimal place.
  4. Adjust: Place the decimal point.
    • Result is 7.5

Example 5: Multiplying 2.5 by 4

  • Step 1: Ignore the decimal point: Treat 2.5 as 25.
  • Step 2: Multiply: 25×4=100
  • Step 3: Count the decimal places: 2.5 has 1 decimal place.
  • Step 4: Place the decimal point: Adjust 100 to 10.0 (or just 10).

Result: 2.5×4=10.0

Practice Problems

Try these on your own:

  1. Multiply 1.2 by 7.
    • Answer: 1.2×7=8.4
  2. Multiply 4.56 by 5.
    • Answer: 4.56×5=22.8
  3. Multiply 0.07 by 9.
    • Answer: 0.07×9=0.63

Example 6: Multiplying 2.4 by 3

Step 1: Ignore the Decimal Point

  • Treat the decimal number 2.4 as if it were 24.

Step 2: Multiply as Whole Numbers

  • Multiply 24 by 3.
  • 24×3=72

Step 3: Count the Decimal Places

  • The original decimal number (2.4) has 1 decimal place.

Step 4: Place the Decimal Point

  • Place the decimal point in the product. Since the original number has 1 decimal place, place the decimal in 72 to get 7.2.

Final Answer: 2.4×3 = 7.2

Example 7: Multiplying 5.36 by 8

Step 1: Ignore the Decimal Point

  • Treat the decimal number 5.36 as if it were 536.

Step 2: Multiply as Whole Numbers

  • Multiply 536 by 8.
  • 536×8 = 4288

Step 3: Count the Decimal Places

  • The original decimal number (5.36) has 2 decimal places.

Step 4: Place the Decimal Point

  • Place the decimal point in the product. Since the original number has 2 decimal places, place the decimal in 4288 to get 42.88.

Final Answer: 5.36×8=42.88

Example 8: Multiplying 0.75 by 6

Step 1: Ignore the Decimal Point

  • Treat the decimal number 0.75 as if it were 75.

Step 2: Multiply as Whole Numbers

  • Multiply 75 by 6.
  • 75×6=450

Step 3: Count the Decimal Places

  • The original decimal number (0.75) has 2 decimal places.

Step 4: Place the Decimal Point

  • Place the decimal point in the product. Since the original number has 2 decimal places, place the decimal in 450 to get 4.50 (or simply 4.5).

Final Answer: 0.75×6=4.5

Example 9: Multiplying 12.5 by 4

Step 1: Ignore the Decimal Point

  • Treat the decimal number 12.5 as if it were 125.

Step 2: Multiply as Whole Numbers

  • Multiply 125 by 4.
  • 125×4=500

Step 3: Count the Decimal Places

  • The original decimal number (12.5) has 1 decimal place.

Step 4: Place the Decimal Point

  • Place the decimal point in the product. Since the original number has 1 decimal place, place the decimal in 500 to get 50.0 (or simply 50).

Final Answer: 12.5×4=50

Example 10: Multiplying 0.09 by 7

Step 1: Ignore the Decimal Point

  • Treat the decimal number 0.09 as if it were 9.

Step 2: Multiply as Whole Numbers

  • Multiply 9 by 7.
  • 9×7=63

Step 3: Count the Decimal Places

  • The original decimal number (0.09) has 2 decimal places.

Step 4: Place the Decimal Point

  • Place the decimal point in the product. Since the original number has 2 decimal places, place the decimal in 63 to get 0.63.

Final Answer: 0.09×7=0.63

Example 11: Multiplying 3.142 by 5

Step 1: Ignore the Decimal Point

  • Treat the decimal number 3.142 as if it were 3142.

Step 2: Multiply as Whole Numbers

  • Multiply 3142 by 5.
  • 3142×5=15710

Step 3: Count the Decimal Places

  • The original decimal number (3.142) has 3 decimal places.

Step 4: Place the Decimal Point

  • Place the decimal point in the product. Since the original number has 3 decimal places, place the decimal in 15710 to get 15.710.

Final Answer: 3.142×5=15.710 or simply 15.71.

Example 12: Multiplying 3.4 by 5

Step 1: Ignore the decimal point.

  • Treat 3.4 as 34.

Step 2: Multiply 34 by 5.

  • 34×5=170

Step 3: Count the decimal places in the original number (3.4 has 1 decimal place).

Step 4: Place the decimal point in the result (170) so it has the same number of decimal places as the original number.

  • So, 170 becomes 17.0.

Result: 3.4×5=17.0 or simply 17.

Example 13: Multiplying 6.25 by 4

Step 1: Ignore the decimal point.

  • Treat 6.25 as 625.

Step 2: Multiply 625 by 4.

  • 625×4=2500

Step 3: Count the decimal places in the original number (6.25 has 2 decimal places).

Step 4: Place the decimal point in the result (2500) so it has 2 decimal places.

  • So, 2500 becomes 25.00.

Result: 6.25×4=25.00 or simply 25.

Example 14: Multiplying 0.7 by 6

Step 1: Ignore the decimal point.

  • Treat 0.7 as 7.

Step 2: Multiply 7 by 6.

  • 7×6=42

Step 3: Count the decimal places in the original number (0.7 has 1 decimal place).

Step 4: Place the decimal point in the result (42) so it has 1 decimal place.

  • So, 42 becomes 4.2.

Result: 0.7×6=4.2

Example 15: Multiplying 0.8 by 7

  1. Ignore the Decimal: Treat 0.8 as 8.
  2. Multiply: 8×7=56
  3. Decimal Places: 0.8 has 1 decimal place.
  4. Adjust: Place the decimal point.
    • Result is 5.6

These examples should help understand the process of multiplying decimals by whole numbers. By following the steps of ignoring the decimal, multiplying as whole numbers, and then placing the decimal point correctly, we can easily solve these types of problems.

Let’s dive into some detailed examples of multiplying decimals by whole numbers. I’ll break down each example step by step.

Example 1: Multiply 0.5 by 2

  1. Ignore the decimal point: 0.5 becomes 5.
  2. Multiply: 5×2=10
  3. Decimal places: 0.5 has 1 decimal place.
  4. Place the decimal point: 10 becomes 1.0
  5. Answer:=1.0

Example 2: Multiply 2.75 by 4

  1. Ignore the decimal point: 2.75 becomes 275.
  2. Multiply: 275×4=1100
  3. Decimal places: 2.75 has 2 decimal places.
  4. Place the decimal point: 1100 becomes 11.00.
  5. Answer: 2.75×4=11.00 or simply 11.

Example 3: Multiply 0.06 by 3

  1. Ignore the decimal point: 0.06 becomes 6.
  2. Multiply: 6×3=18
  3. Decimal places: 0.06 has 2 decimal places.
  4. Place the decimal point: 18 becomes 0.18.
  5. Answer:=0.18

Example 4: Multiply 4.8 by 5

  1. Ignore the decimal point: 4.8 becomes 48.
  2. Multiply: 48×5=240
  3. Decimal places: 4.8 has 1 decimal place.
  4. Place the decimal point: 240 becomes 24.0.
  5. Answer: 4.8×5=24.0

Example 5: Multiply 1.23 by 7

  1. Ignore the decimal point: 1.23 becomes 123.
  2. Multiply: 123×7=861
  3. Decimal places: 1.23 has 2 decimal places.
  4. Place the decimal point: 861 becomes 8.61.
  5. Answer: 1.23×7=8.61

Example 6: Multiply 0.7 by 9

  1. Ignore the decimal point: 0.7 becomes 7.
  2. Multiply: 7×9=63
  3. Decimal places: 0.7 has 1 decimal place.
  4. Place the decimal point: 63 becomes 6.3.
  5. Answer: 0.7×9=6.3

Example 7: Multiply 3.14 by 6

  1. Ignore the decimal point: 3.14 becomes 314.
  2. Multiply: 314×6=1884
  3. Decimal places: 3.14 has 2 decimal places.
  4. Place the decimal point: 1884 becomes 18.84.
  5. Answer: 3.14×6=18.84

Example 8: Multiply 2.08 by 5

  1. Ignore the decimal point: 2.08 becomes 208.
  2. Multiply: 208×5=1040
  3. Decimal places: 2.08 has 2 decimal places.
  4. Place the decimal point: 1040 becomes 10.40.
  5. Answer: 2.08×5=10.40

Example 9: Multiply 0.91 by 4

  1. Ignore the decimal point: 0.91 becomes 91.
  2. Multiply: 91×4=364
  3. Decimal places: 0.91 has 2 decimal places.
  4. Place the decimal point: 364 becomes 3.64.
  5. Answer: 0.91×4=3.64

Example 10: Multiply 7.2 by 3

  1. Ignore the decimal point: 7.2 becomes 72.
  2. Multiply: 72×3=216
  3. Decimal places: 7.2 has 1 decimal place.
  4. Place the decimal point: 216 becomes 21.6.
  5. Answer: 7.2×3=21.6

Example 11: Multiply 1.5 by 8

  1. Ignore the decimal point: 1.5 becomes 15.
  2. Multiply: 15×8=120
  3. Decimal places: 1.5 has 1 decimal place.
  4. Place the decimal point: 120 becomes 12.0.
  5. Answer: 1.5×8=12.0

Example 12: Multiply 0.03 by 7

  1. Ignore the decimal point: 0.03 becomes 3.
  2. Multiply: 3×7=21
  3. Decimal places: 0.03 has 2 decimal places.
  4. Place the decimal point: 21 becomes 0.21.
  5. Answer: 0.03×7=0.21

Example 13: Multiply 9.99 by 2

  1. Ignore the decimal point: 9.99 becomes 999.
  2. Multiply: 999×2=1998
  3. Decimal places: 9.99 has 2 decimal places.
  4. Place the decimal point: 1998 becomes 19.98.
  5. Answer: 9.99×2=19.98

Example 14: Multiply 0.66 by 5

  1. Ignore the decimal point: 0.66 becomes 66.
  2. Multiply: 66×5=330
  3. Decimal places: 0.66 has 2 decimal places.
  4. Place the decimal point: 330 becomes 3.30.
  5. Answer: 0.66×5=3.30

Example 15: Multiply 3.21 by 9

  1. Ignore the decimal point: 3.21 becomes 321.
  2. Multiply: 321×9=2889
  3. Decimal places: 3.21 has 2 decimal places.
  4. Place the decimal point: 2889 becomes 28.89.
  5. Answer: 3.21×9=28.89

Example 16: Multiply 0.004 by 6

  1. Ignore the decimal point: 0.004 becomes 4.
  2. Multiply: 4×6=24
  3. Decimal places: 0.004 has 3 decimal places.
  4. Place the decimal point: 24 becomes 0.024.
  5. Answer: 0.004×6=0.024

Example 17: Multiply 1.28 by 7

  1. Ignore the decimal point: 1.28 becomes 128.
  2. Multiply: 128×7=896
  3. Decimal places: 1.28 has 2 decimal places.
  4. Place the decimal point: 896 becomes 8.96.
  5. Answer: 1.28×7=8.96

Example 18: Multiply 2.56 by 4

  1. Ignore the decimal point: 2.56 becomes 256.
  2. Multiply: 256×4=1024
  3. Decimal places: 2.56 has 2 decimal places.
  4. Place the decimal point: 1024 becomes 10.24.
  5. Answer: 2.56×4=10.24

Example 19: Multiply 0.85 by 9

  1. Ignore the decimal point: 0.85 becomes 85.
  2. Multiply: 85×9=765
  3. Decimal places: 0.85 has 2 decimal places.
  4. Place the decimal point: 765 becomes 7.65.
  5. Answer: 0.85×9=7.65

Example 20: Multiply 0.92 by 3

  1. Ignore the decimal point: 0.92 becomes 92.
  2. Multiply: 92×3=276
  3. Decimal places: 0.92 has 2 decimal places.
  4. Place the decimal point: 276 becomes 2.76.
  5. Answer: 0.92×3=2.76

Example 21: Multiply 4.44 by 7

  1. Ignore the decimal point: 4.44 becomes 444.
  2. Multiply: 444×7=3108
  3. Decimal places: 4.44 has 2 decimal places.
  4. Place the decimal point: 3108 becomes 31.08.
  5. Answer: 4.44×7=31.08

Example 22: Multiply 0.18 by 8

  1. Ignore the decimal point: 0.18 becomes 18.
  2. Multiply: 18×8=144
  3. Decimal places: 0.18 has 2 decimal places.
  4. Place the decimal point: 144 becomes 1.44.
  5. Answer: 0.18×8=1.44

Example 23: Multiply 6.78 by 2

  1. Ignore the decimal point: 6.78 becomes 678.
  2. Multiply: 678×2=1356
  3. Decimal places: 6.78 has 2 decimal places.
  4. Place the decimal point: 1356 becomes 13.56.
  5. Answer: 6.78×2=13.56

Example 24: Multiply 1.9 by 6

  1. Ignore the decimal point: 1.9 becomes 19.
  2. Multiply: 19×6=114
  3. Decimal places: 1.9 has 1 decimal place.
  4. Place the decimal point: 114 becomes 11.4.
  5. Answer: 1.9×6=11.4

Example 25: Multiply 0.33 by 5

  1. Ignore the decimal point: 0.33 becomes 33.
  2. Multiply: 33×5=165
  3. Decimal places: 0.33 has 2 decimal places.
  4. Place the decimal point: 165 becomes 1.65.
  5. Answer: 0.33×5=1.65

Example 26: Multiply 7.01 by 4

  1. Ignore the decimal point: 7.01 becomes 701.
  2. Multiply: 701×4=2804
  3. Decimal places: 7.01 has 2 decimal places.
  4. Place the decimal point: 2804 becomes 28.04.
  5. Answer: 7.01×4=28.04

Example 27: Multiply 0.88 by 2

  1. Ignore the decimal point: 0.88 becomes 88.
  2. Multiply: 88×2=176
  3. Decimal places: 0.88 has 2 decimal places.
  4. Place the decimal point: 176 becomes 1.76.
  5. Answer: 0.88×2=1.76

Example 28: Multiply 5.5 by 9

  1. Ignore the decimal point: 5.5 becomes 55.
  2. Multiply: 55×9=495
  3. Decimal places: 5.5 has 1 decimal place.
  4. Place the decimal point: 495 becomes 49.5.
  5. Answer: 5.5×9=49.5

Example 29: Multiply 0.25 by 6

  1. Ignore the decimal point: 0.25 becomes 25.
  2. Multiply: 25×6=150
  3. Decimal places: 0.25 has 2 decimal places.
  4. Place the decimal point: 150 becomes 1.50.
  5. Answer: 0.25×6=1.50

Example 30: Multiply 3.67 by 7

  1. Ignore the decimal point: 3.67 becomes 367.
  2. Multiply: 367×7=2569
  3. Decimal places: 3.67 has 2 decimal places.
  4. Place the decimal point: 2569 becomes 25.69.
  5. Answer: 3.67×7=25.69

Example 31: Multiply 0.03 by 4

  1. Ignore the decimal point: 0.03 becomes 3.
  2. Multiply: 3×4=12
  3. Decimal places: 0.03 has 2 decimal places.
  4. Place the decimal point: 12 becomes 0.12.
  5. Answer: 0.03×4=0.12

Example 32: Multiply 1.6 by 3

  1. Ignore the decimal point: 1.6 becomes 16.
  2. Multiply: 16×3=48
  3. Decimal places: 1.6 has 1 decimal place.
  4. Place the decimal point: 48 becomes 4.8.
  5. Answer: 1.6×3=4.8

Example 33: Multiply 0.04 by 7

  1. Ignore the decimal point: 0.04 becomes 4.
  2. Multiply: 4×7=28
  3. Decimal places: 0.04 has 2 decimal places.
  4. Place the decimal point: 28 becomes 0.28.
  5. Answer: 0.04×7=0.28

Example 34: Multiply 9.5 by 6

  1. Ignore the decimal point: 9.5 becomes 95.
  2. Multiply: 95×6=570
  3. Decimal places: 9.5 has 1 decimal place.
  4. Place the decimal point: 570 becomes 57.0.
  5. Answer: 9.5×6=57.0

Example 35: Multiply 2.2 by 4

  1. Ignore the decimal point: 2.2 becomes 22.
  2. Multiply: 22×4=88
  3. Decimal places: 2.2 has 1 decimal place.
  4. Place the decimal point: 88 becomes 8.8.
  5. Answer: 2.2×4=8.8

Example 36: Multiply 0.11 by 5

  1. Ignore the decimal point: 0.11 becomes 11.
  2. Multiply: 11×5=55
  3. Decimal places: 0.11 has 2 decimal places.
  4. Place the decimal point: 55 becomes 0.55.
  5. Answer: 0.11×5=0.55

Example 37: Multiply 3.03 by 8

  1. Ignore the decimal point: 3.03 becomes 303.
  2. Multiply: 303×8=2424
  3. Decimal places: 3.03 has 2 decimal places.
  4. Place the decimal point: 2424 becomes 24.24.
  5. Answer: 3.03×8=24.24

Example 38: Multiply 0.09 by 4

  1. Ignore the decimal point: 0.09 becomes 9.
  2. Multiply: 9×4=36
  3. Decimal places: 0.09 has 2 decimal places.
  4. Place the decimal point: 36 becomes 0.36.
  5. Answer: 0.09×4=0.36

Example 39: Multiply 2.67 by 6

  1. Ignore the decimal point: 2.67 becomes 267.
  2. Multiply: 267×6=1602
  3. Decimal places: 2.67 has 2 decimal places.
  4. Place the decimal point: 1602 becomes 16.02.
  5. Answer: 2.67×6=16.02

Example 40: Multiply 0.5 by 9

  1. Ignore the decimal point: 0.5 becomes 5.
  2. Multiply: 5×9=45
  3. Decimal places: 0.5 has 1 decimal place.
  4. Place the decimal point: 45 becomes 4.5.
  5. Answer: 0.5×9=4.5

Example 41: Multiply 4.09 by 3

  1. Ignore the decimal point: 4.09 becomes 409.
  2. Multiply: 409×3=1227
  3. Decimal places: 4.09 has 2 decimal places.
  4. Place the decimal point: 1227 becomes 12.27.
  5. Answer: 4.09×3=12.27

Example 42: Multiply 0.21 by 8

  1. Ignore the decimal point: 0.21 becomes 21.
  2. Multiply: 21×8=168
  3. Decimal places: 0.21 has 2 decimal places.
  4. Place the decimal point: 168 becomes 1.68.
  5. Answer: 0.21×8=1.68

Example 43: Multiply 2.04 by 7

  1. Ignore the decimal point: 2.04 becomes 204.
  2. Multiply: 204×7=1428
  3. Decimal places: 2.04 has 2 decimal places.
  4. Place the decimal point: 1428 becomes 14.28.
  5. Answer: 2.04×7=14.28

Example 44: Multiply 0.15 by 6

  1. Ignore the decimal point: 0.15 becomes 15.
  2. Multiply: 15×6=90
  3. Decimal places: 0.15 has 2 decimal places.
  4. Place the decimal point: 90 becomes 0.90.
  5. Answer: 0.15×6=0.90

Example 45: Multiply 7.77 by 4

  1. Ignore the decimal point: 7.77 becomes 777.
  2. Multiply: 777×4=3108
  3. Decimal places: 7.77 has 2 decimal places.
  4. Place the decimal point: 3108 becomes 31.08.
  5. Answer: 7.77×4=31.08

Example 46: Multiply 0.007 by 5

  1. Ignore the decimal point: 0.007 becomes 7.
  2. Multiply: 7×5=35
  3. Decimal places: 0.007 has 3 decimal places.
  4. Place the decimal point: 35 becomes 0.035.
  5. Answer: 0.007×5=0.035

Example 47: Multiply 6.6 by 9

  1. Ignore the decimal point: 6.6 becomes 66.
  2. Multiply: 66×9=594
  3. Decimal places: 6.6 has 1 decimal place.
  4. Place the decimal point: 594 becomes 59.4.
  5. Answer: 6.6×9=59.4

Example 48: Multiply 0.04 by 7

  1. Ignore the decimal point: 0.04 becomes 4.
  2. Multiply: 4×7=28
  3. Decimal places: 0.04 has 2 decimal places.
  4. Place the decimal point: 28 becomes 0.28.
  5. Answer: 0.04×7=0.28

Example 49: Multiply 3.33 by 2

  1. Ignore the decimal point: 3.33 becomes 333.
  2. Multiply: 333×2=666
  3. Decimal places: 3.33 has 2 decimal places.
  4. Place the decimal point: 666 becomes 6.66.
  5. Answer: 3.33×2=6.66

Example 50: Multiply 0.09 by 3

  1. Ignore the decimal point: 0.09 becomes 9.
  2. Multiply: 9×3=27
  3. Decimal places: 0.09 has 2 decimal places.
  4. Place the decimal point: 27 becomes 0.27.
  5. Answer: 0.09×3=0.27

Example 51: Multiply 0.005 by 6

  1. Ignore the decimal point: 0.005 becomes 5.
  2. Multiply: 5×6=30
  3. Decimal places: 0.005 has 3 decimal places.
  4. Place the decimal point: 30 becomes 0.030.
  5. Answer: 0.005×6=0.030

Example 52: Multiply 8.23 by 5

  1. Ignore the decimal point: 8.23 becomes 823.
  2. Multiply: 823×5=4115
  3. Decimal places: 8.23 has 2 decimal places.
  4. Place the decimal point: 4115 becomes 41.15.
  5. Answer: 8.23×5=41.15

Example 53: Multiply 0.06 by 7

  1. Ignore the decimal point: 0.06 becomes 6.
  2. Multiply: 6×7=42
  3. Decimal places: 0.06 has 2 decimal places.
  4. Place the decimal point: 42 becomes 0.42.
  5. Answer: 0.06×7=0.42

Example 54: Multiply 3.08 by 3

  1. Ignore the decimal point: 3.08 becomes 308.
  2. Multiply: 308×3=924
  3. Decimal places: 3.08 has 2 decimal places.
  4. Place the decimal point: 924 becomes 9.24.
  5. Answer: 3.08×3=9.24

Example 55: Multiply 0.19 by 4

  1. Ignore the decimal point: 0.19 becomes 19.
  2. Multiply: 19×4=76
  3. Decimal places: 0.19 has 2 decimal places.
  4. Place the decimal point: 76 becomes 0.76.
  5. Answer: 0.19×4=0.76

Example 56: Multiply 6.2 by 5

  1. Ignore the decimal point: 6.2 becomes 62.
  2. Multiply: 62×5=310
  3. Decimal places: 6.2 has 1 decimal place.
  4. Place the decimal point: 310 becomes 31.0.
  5. Answer: 6.2×5=31.0

Example 57: Multiply 0.004 by 9

  1. Ignore the decimal point: 0.004 becomes 4.
  2. Multiply: 4×9=36
  3. Decimal places: 0.004 has 3 decimal places.
  4. Place the decimal point: 36 becomes 0.036.
  5. Answer: 0.004×9=0.036

Example 58: Multiply 7.5 by 6

  1. Ignore the decimal point: 7.5 becomes 75.
  2. Multiply: 75×6=450
  3. Decimal places: 7.5 has 1 decimal place.
  4. Place the decimal point: 450 becomes 45.0.
  5. Answer: 7.5×6=45.0

Example 59: Multiply 0.03 by 8

  1. Ignore the decimal point: 0.03 becomes 3.
  2. Multiply: 3×8=24
  3. Decimal places: 0.03 has 2 decimal places.
  4. Place the decimal point: 24 becomes 0.24.
  5. Answer: 0.03×8=0.24

Example 60: Multiply 2.5 by 4

  1. Ignore the decimal point: 2.5 becomes 25.
  2. Multiply: 25×4=100
  3. Decimal places: 2.5 has 1 decimal place.
  4. Place the decimal point: 100 becomes 10.0.
  5. Answer: 2.5×4=10.0

Example 61: Multiply 0.09 by 7

  1. Ignore the decimal point: 0.09 becomes 9.
  2. Multiply: 9×7=63
  3. Decimal places: 0.09 has 2 decimal places.
  4. Place the decimal point: 63 becomes 0.63.
  5. Answer: 0.09×7=0.63

Example 62: Multiply 3.6 by 5

  1. Ignore the decimal point: 3.6 becomes 36.
  2. Multiply: 36×5=180
  3. Decimal places: 3.6 has 1 decimal place.
  4. Place the decimal point: 180 becomes 18.0.
  5. Answer: 3.6×5=18.0

Example 63: Multiply 0.015 by 6

  1. Ignore the decimal point: 0.015 becomes 15.
  2. Multiply: 15×6=90
  3. Decimal places: 0.015 has 3 decimal places.
  4. Place the decimal point: 90 becomes 0.090.
  5. Answer: 0.015×6=0.090

Example 64: Multiply 5.4 by 8

  1. Ignore the decimal point: 5.4 becomes 54.
  2. Multiply: 54×8=432
  3. Decimal places: 5.4 has 1 decimal place.
  4. Place the decimal point: 432 becomes 43.2.
  5. Answer: 5.4×8=43.2

Example 65: Multiply 0.002 by 9

  1. Ignore the decimal point: 0.002 becomes 2.
  2. Multiply: 2×9=18
  3. Decimal places: 0.002 has 3 decimal places.
  4. Place the decimal point: 18 becomes 0.018.
  5. Answer: 0.002×9=0.018

Example 66: Multiply 7.3 by 2

  1. Ignore the decimal point: 7.3 becomes 73.
  2. Multiply: 73×2=146
  3. Decimal places: 7.3 has 1 decimal place.
  4. Place the decimal point: 146 becomes 14.6.
  5. Answer: 7.3×2=14.6

Example 67: Multiply 0.025 by 4

  1. Ignore the decimal point: 0.025 becomes 25.
  2. Multiply: 25×4=100
  3. Decimal places: 0.025 has 3 decimal places.
  4. Place the decimal point: 100 becomes 0.100.
  5. Answer: 0.025×4=0.100

Example 68: Multiply 6.9 by 5

  1. Ignore the decimal point: 6.9 becomes 69.
  2. Multiply: 69×5=345
  3. Decimal places: 6.9 has 1 decimal place.
  4. Place the decimal point: 345 becomes 34.5.
  5. Answer: 6.9×5=34.5

Example 69: Multiply 0.014 by 8

  1. Ignore the decimal point: 0.014 becomes 14.
  2. Multiply: 14×8=112
  3. Decimal places: 0.014 has 3 decimal places.
  4. Place the decimal point: 112 becomes 0.112.
  5. Answer: 0.014×8=0.112

Example 70: Multiply 4.6 by 3

  1. Ignore the decimal point: 4.6 becomes 46.
  2. Multiply: 46×3=138
  3. Decimal places: 4.6 has 1 decimal place.
  4. Place the decimal point: 138 becomes 13.8.
  5. Answer: 4.6×3=13.8

Example 71: Multiply 0.007 by 2

  1. Ignore the decimal point: 0.007 becomes 7.
  2. Multiply: 7×2=14
  3. Decimal places: 0.007 has 3 decimal places.
  4. Place the decimal point: 14 becomes 0.014.
  5. Answer: 0.007×2=0.014

Example 72: Multiply 9.1 by 4

  1. Ignore the decimal point: 9.1 becomes 91.
  2. Multiply: 91×4=364
  3. Decimal places: 9.1 has 1 decimal place.
  4. Place the decimal point: 364 becomes 36.4.
  5. Answer: 9.1×4=36.4

Example 73: Multiply 0.018 by 5

  1. Ignore the decimal point: 0.018 becomes 18.
  2. Multiply: 18×5=90
  3. Decimal places: 0.018 has 3 decimal places.
  4. Place the decimal point: 90 becomes 0.090.
  5. Answer: 0.018×5=0.090

Example 74: Multiply 8.4 by 7

  1. Ignore the decimal point: 8.4 becomes 84.
  2. Multiply: 84×7=588
  3. Decimal places: 8.4 has 1 decimal place.
  4. Place the decimal point: 588 becomes 58.8.
  5. Answer: 8.4×7=58.8

Example 75: Multiply 0.006 by 9

  1. Ignore the decimal point: 0.006 becomes 6.
  2. Multiply: 6×9=54
  3. Decimal places: 0.006 has 3 decimal places.
  4. Place the decimal point: 54 becomes 0.054.
  5. Answer: 0.006×9=0.054

Example 76: Multiply 7.8 by 3

  1. Ignore the decimal point: 7.8 becomes 78.
  2. Multiply: 78×3=234
  3. Decimal places: 7.8 has 1 decimal place.
  4. Place the decimal point: 234 becomes 23.4.
  5. Answer: 7.8×3=23.4

Example 77: Multiply 0.024 by 2

  1. Ignore the decimal point: 0.024 becomes 24.
  2. Multiply: 24×2=48
  3. Decimal places: 0.024 has 3 decimal places.
  4. Place the decimal point: 48 becomes 0.048.
  5. Answer: 0.024×2=0.048

Example 78: Multiply 5.5 by 4

  1. Ignore the decimal point: 5.5 becomes 55.
  2. Multiply: 55×4=220
  3. Decimal places: 5.5 has 1 decimal place.
  4. Place the decimal point: 220 becomes 22.0.
  5. Answer: 5.5×4=22.0

Example 79: Multiply 0.03 by 3

  1. Ignore the decimal point: 0.03 becomes 3.
  2. Multiply: 3×3=9
  3. Decimal places: 0.03 has 2 decimal places.
  4. Place the decimal point: 9 becomes 0.09.
  5. Answer: 0.03×3=0.09

Example 80: Multiply 4.4 by 5

  1. Ignore the decimal point: 4.4 becomes 44.
  2. Multiply: 44×5=220
  3. Decimal places: 4.4 has 1 decimal place.
  4. Place the decimal point: 220 becomes 22.0.
  5. Answer: 4.4×5=22.0

Example 81: Multiply 0.016 by 6

  1. Ignore the decimal point: 0.016 becomes 16.
  2. Multiply: 16×6=96
  3. Decimal places: 0.016 has 3 decimal places.
  4. Place the decimal point: 96 becomes 0.096.
  5. Answer: 0.016×6=0.096

Example 82: Multiply 7.9 by 2

  1. Ignore the decimal point: 7.9 becomes 79.
  2. Multiply: 79×2=158
  3. Decimal places: 7.9 has 1 decimal place.
  4. Place the decimal point: 158 becomes 15.8.
  5. Answer: 7.9×2=15.8

Example 83: Multiply 0.028 by 3

  1. Ignore the decimal point: 0.028 becomes 28.
  2. Multiply: 28×3=84
  3. Decimal places: 0.028 has 3 decimal places.
  4. Place the decimal point: 84 becomes 0.084.
  5. Answer: 0.028×3=0.084

Example 84: Multiply 6.3 by 4

  1. Ignore the decimal point: 6.3 becomes 63.
  2. Multiply: 63×4=252
  3. Decimal places: 6.3 has 1 decimal place.
  4. Place the decimal point: 252 becomes 25.2.
  5. Answer: 6.3×4=25.2

Example 85: Multiply 0.002 by 7

  1. Ignore the decimal point: 0.002 becomes 2.
  2. Multiply: 2×7=14
  3. Decimal places: 0.002 has 3 decimal places.
  4. Place the decimal point: 14 becomes 0.014.
  5. Answer: 0.002×7=0.014

Example 86: Multiply 8.6 by 5

  1. Ignore the decimal point: 8.6 becomes 86.
  2. Multiply: 86×5=430
  3. Decimal places: 8.6 has 1 decimal place.
  4. Place the decimal point: 430 becomes 43.0.
  5. Answer: 8.6×5=43.0

Example 87: Multiply 0.017 by 9

  1. Ignore the decimal point: 0.017 becomes 17.
  2. Multiply: 17×9=153
  3. Decimal places: 0.017 has 3 decimal places.
  4. Place the decimal point: 153 becomes 0.153.
  5. Answer: 0.017×9=0.153

Example 88: Multiply 7.4 by 2

  1. Ignore the decimal point: 7.4 becomes 74.
  2. Multiply: 74×2=148
  3. Decimal places: 7.4 has 1 decimal place.
  4. Place the decimal point: 148 becomes 14.8.
  5. Answer: 7.4×2=14.8

Example 89: Multiply 0.022 by 8

  1. Ignore the decimal point: 0.022 becomes 22.
  2. Multiply: 22×8=176
  3. Decimal places: 0.022 has 3 decimal places.
  4. Place the decimal point: 176 becomes 0.176.
  5. Answer: 0.022×8=0.176

Example 90: Multiply 5.7 by 4

  1. Ignore the decimal point: 5.7 becomes 57.
  2. Multiply: 57×4=228
  3. Decimal places: 5.7 has 1 decimal place.
  4. Place the decimal point: 228 becomes 22.8.
  5. Answer: 5.7×4=22.8

Example 91: Multiply 0.034 by 7

  1. Ignore the decimal point: 0.034 becomes 34.
  2. Multiply: 34×7=238
  3. Decimal places: 0.034 has 3 decimal places.
  4. Place the decimal point: 238 becomes 0.238.
  5. Answer: 0.034×7=0.238

Example 92: Multiply 9.2 by 3

  1. Ignore the decimal point: 9.2 becomes 92.
  2. Multiply: 92×3=276
  3. Decimal places: 9.2 has 1 decimal place.
  4. Place the decimal point: 276 becomes 27.6.
  5. Answer: 9.2×3=27.6

Example 93: Multiply 0.04 by 2

  1. Ignore the decimal point: 0.04 becomes 4.
  2. Multiply: 4×2=8
  3. Decimal places: 0.04 has 2 decimal places.
  4. Place the decimal point: 8 becomes 0.08.
  5. Answer: 0.04×2=0.08

Example 94: Multiply 6.8 by 5

  1. Ignore the decimal point: 6.8 becomes 68.
  2. Multiply: 68×5=340
  3. Decimal places: 6.8 has 1 decimal place.
  4. Place the decimal point: 340 becomes 34.0.
  5. Answer: 6.8×5=34.0

Example 95: Multiply 0.018 by 6

  1. Ignore the decimal point: 0.018 becomes 18.
  2. Multiply: 18×6=108
  3. Decimal places: 0.018 has 3 decimal places.
  4. Place the decimal point: 108 becomes 0.108.
  5. Answer: 0.018×6=0.108

Example 96: Multiply 8.3 by 4

  1. Ignore the decimal point: 8.3 becomes 83.
  2. Multiply: 83×4=332
  3. Decimal places: 8.3 has 1 decimal place.
  4. Place the decimal point: 332 becomes 33.2.
  5. Answer: 8.3×4=33.2

Example 97: Multiply 0.02 by 7

  1. Ignore the decimal point: 0.02 becomes 2.
  2. Multiply: 2×7=14
  3. Decimal places: 0.02 has 2 decimal places.
  4. Place the decimal point: 14 becomes 0.14.
  5. Answer: 0.02×7=0.14

Example 98: Multiply 9.4 by 3

  1. Ignore the decimal point: 9.4 becomes 94.
  2. Multiply: 94×3=282
  3. Decimal places: 9.4 has 1 decimal place.
  4. Place the decimal point: 282 becomes 28.2.
  5. Answer: 9.4×3=28.2

Example 99: Multiply 0.05 by 4

  1. Ignore the decimal point: 0.05 becomes 5.
  2. Multiply: 5×4=20
  3. Decimal places: 0.05 has 2 decimal places.
  4. Place the decimal point: 20 becomes 0.20.
  5. Answer: 0.05×4=0.20

Example 100: Multiply 7.6 by 6

  1. Ignore the decimal point: 7.6 becomes 76.
  2. Multiply: 76×6=456
  3. Decimal places: 7.6 has 1 decimal place.
  4. Place the decimal point: 456 becomes 45.6.
  5. Answer: 7.6×6=45.6

These examples should provide a comprehensive guide to understanding how to multiply decimals by whole numbers.

These examples cover a wide range of decimal numbers and demonstrate the process of multiplying decimals by whole numbers in detail.

By following these steps and practicing with different examples, multiplying decimals by whole numbers becomes more intuitive and manageable.

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