Rational Numbers Between Two Rational Numbers Rational numbers are numbers which can be expressed in the form of p and q where q ≠ 0. We can find unlimited rational numbers between two rational numbers. A number between two rational numbers can be a rational number or a whole number. When we find whole number […]

Read More →

Rational Numbers – Solved Examples Example 1: Write the numerator of the following rational numbers. (i) (2/7) (ii) (-4/5) (iii) (-11/3) (iv) (-10/-17) (v) (13/-14) (vi) (9/8) (vii) (8/9) (viii) (29/4) (ix) (12/5) (x) (22/7) Solution: (i) Numerator of (2/7) is 2 (ii) Numerator of (-4/5) is -4 (iii) Numerator of (-11/3) is -11 (iv) […]

Read More →

Multiplying Variables with Exponents – Rule – Examples Multiplication of variables with exponents In this tutorial, we will learn the multiplication of variable with exponents. If the base of a term is a variable, we use the same rules of multiplication that are used for numbers. When the variable bases are same, the powers are […]

Read More →

Multiplying Exponents with Square Roots In this tutorial, we will learn the multiplication of exponents, where bases have a square root. When multiplying square roots that contain exponents, we can rewrite the term with a rational exponent. The square root of a positive number (√a) can be expressed as a rational exponent and (√a) = […]

Read More →

Equation of a Circle when the Center of Circle Coincides with the Origin In this tutorial we will learn, equation of a circle when the center of circle coincides with the origin with examples. Equation of a circle with center at (h, k) and radius equal to r, is (x – h)² + (y – […]

Read More →

Dividing Mixed Fractions With Examples Let us see the steps to divide a given mixed fraction by a mixed fraction with an example. Example: Divide 3 2/4 ÷ 4 1/5 Step 1: Convert each mixed fraction into improper fraction. 3 2/4 ÷ 4 1/5 3 2/4 = 14/4 and 4 1/5 = 21/5 Now problem […]

Read More →

Dividing Fractions by a Mixed Fraction With Examples The steps dividing fractions by a mixed fraction are almost same to dividing fractions by a fraction. How to divide fractions by mixed Fraction Let us see the steps to divide a given fraction by a mixed fraction with an example. Example: Divide 3/2 ÷ 2 1/4 […]

Read More →

Subtraction of Like Fractions Arithmetic operations addition, subtraction, multiplication and division can be preformed on fractions. Fractions represents a part of a whole. The normal subtraction of numbers and the subtraction of fractions are different. A fraction has a numerator and a denominator which is separated by a bar. For example, 3/2, 4/7, 22/5, 26/7, […]

Read More →

Fractions Multiplication with Common Denominators Fractions that have common denominators are known as like fractions. Addition and subtraction of like fractions are different from addition and subtraction of unlike fractions, but the method of multiplication of like fractions and unlike fractions are same. Multiplying fractions with like denominators is same as multiplication of unlike fractions. […]

Read More →

Equality – Subtraction Property Definition: Subtraction property of equality states that if using the same mathematical operation(same number is subtracted) on both sides of an equation, then both sides of equation will remain equal. means in a equation, without changing the solution of the equation, same number may be subtracted from both sides. This property […]

Read More →