Law of Exponents In this chapter, we will study about law of exponents. What is an Exponent? When a number repeatedly multiplied by itself, multiple times is known as Exponent. For example: p raised to q means that p is multiplied by itself q times. = pq = p x p x p x p […]
Read More →Properties of Fractional Division Let’s dive into the properties of fractional division. Understanding how to divide fractions involves grasping a few fundamental concepts and properties. Here are the key properties and steps: 1. Reciprocal Property Definition: The reciprocal (or multiplicative inverse) of a fraction is obtained by flipping the numerator and the denominator. Example: The […]
Read More →Dividing Decimal as Fractions Dividing decimals can be made easier by understanding how to convert them into fractions. Here’s a step-by-step explanation on how to divide decimals by converting them into fractions: Step-by-Step Explanation: Step 1: Convert the Decimals to Fractions Identify the place value of the decimal: For instance, the decimal 0.75 can be […]
Read More →Division of Rational Numbers – Conditions To ensure that the division of rational numbers is valid and accurate, the following conditions must be satisfied: (1) Non-zero Divisor Condition: The divisor must not be zero. Reason: Division by zero is undefined in mathematics. For two rational numbers, a/b and c/d c≠0 and d≠0. The divisor c/d […]
Read More →Division Of Rational Numbers – Rules Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the numerator is the integer and the denominator is a non-zero integer. The steps for dividing rational numbers are as follows: Dividing rational numbers involves a few straightforward steps. 1.Understanding Rational Numbers […]
Read More →Trigonometric Ratios: A Detailed Explanation Trigonometric ratios are the ratios of the lengths of sides in a right-angled triangle. These ratios are fundamental in trigonometry and are used to relate the angles of a triangle to the lengths of its sides. There are six primary trigonometric ratios. sine, cosine, tangent, cosecant, secant, and cotangent. Here’s […]
Read More →Division of Two Rational Numbers In this tutorial, we will learn, division of rational numbers. Rational numbers are written as fractions, therefore to divide a given rational number by another rational number, we have to multiply the given rational number by the reciprocal of the second rational number. Let a/b is a rational number then […]
Read More →Divide Mixed Fractions with whole numbers Whole numbers: Whole numbers are natural numbers including zero. Mixed fraction: A “Mixed Fraction” is a combination of a whole number and a proper fraction. How to divide fractions by mixed Fraction A number is divided by 1 is the number itself, so convert the whole number into a fraction write […]
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 […]
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