Worksheet – Addition of Integers
Addition of Integers Worksheet Find the sum 1. 5 + 3 + – 7 2. 8 + – 6 + – 4 3. -10 + 2 + 3 4. -5 + -2 + -3 5. -7 + – 4 + – 5 6. 9 + 7 + – 3 Answers […]
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The sum of the angles of a triangle is 180-Theorem
The sum of the angles of a triangle is 180º Given: A triangle △ PQR and ∠1, ∠2, and ∠3 are angles of triangle △ PQR. To prove: ∠1 + ∠2 + ∠3 = 1800 Construction: Draw a line XPY parallel to QR passing through P. Proof: XPY ∥ QR and PQ is transversal ∴ ∠2 = ∠4 (Alternate angles) ….(1) XPY ∥ QR and PR […]
Read More →Simple Interest – Definition – Formula – Examples
Simple Interest: Definition, Examples and Formulas What is interest? First lets understand what is Interest. When we borrow money from a bank, we must pay a fee in addition to the amount borrowed. The extra money we pay is known as the interest. Interest is an additional amount of money that is paid by the […]
Read More →Polygon – Problems on Interior & Exterior angle of a polygon with solution
Interior & Exterior angle of a polygon In this lesson we will learn the, (1) Solutions of problems on interior and exterior angles of a polygon. Example 1: Find the sum of all interior angles in a regular triangle (3-sided). Solution: Step 1: Write the formula Sum of interior angles of a polygon = (n-2) […]
Read More →BODMAS – rule
Order of mathematical Operations The four basic operation in mathematics, as everyone knows, are addition, subtraction, multiplication and division. These basic operations are used in algebra with numbers or letters or combination of both. A number multiplied by a variable, a number or variable is called a term. An expression is combination of such terms. Example: In […]
Read More →Perfect Numbers – Definition & Examples
Perfect Numbers – Definition & Examples Definition: A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself.For example 6 has 1, 2, and 3 divisors (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. 28 has 1, […]
Read More →Exterior Angle of a Triangle – Theorem
Exterior Angle of a Triangle If any side of a triangle is extended then the exterior angle of triangle is equal to the sum of its interior opposite angles. Given : A △ABC, side BC of △ABC is extended, ∠ACD is an exterior angle. To Prove : The sum of measure of exterior angle of triangle is equal to the sum […]
Read More →Even Numbers – Properties and List of Even Numbers
Even Numbers: Definition, Example, Properties and List of Even Numbers from 1 to 1000 Definition: If we divide any integer by 2, and remainder is zero, we get an even number. Simply, If any integer divide exactly by 2, is an even number. The last digit of even numbers is 0, 2, 4, 6, 8. Example: 12, 10, […]
Read More →Right Circular Cylinder – Definition – Surface Area and Total Surface Area of a Right Circular Cylinder
Right Circular Cylinder Surface Area of a Right Circular Cylinder Definition: Right Circular Cylinder A Right Circular Cylinder is a three dimensional object, whose base is circle and the height (axis) is the line joining the centers of bases. We take a rectangular sheet of a paper whose length […]
Read More →Theorem – Same side of the transversal, Angles are Supplementary
If a transversal intersect two parallel lines, then each pair of interior angles on the Same side of the transversal are Supplementary. Given: Two parallel Lines AB and CD, and PS be transversal intersecting AB at Q and CD at R. To Prove: Sum of interior angles on the Same side of the transversal is Supplementary. […]
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