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 […]

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) […]

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 […]

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) = […]

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 – […]

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 […]

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 […]