Equality of rational numbers with a common denominator means that two fractions are equal if their numerators are equal when the denominators are the same. let’s delve into the details of understanding the equality of rational numbers with a common denominator. Here’s a step-by-step explanation: Rational Numbers A rational number is any number that can […]
Read More →Multiplying Exponents with Fractions – Rules – Examples Rules for Multiplying Exponents with Fractions If the exponent is in the fractional form, the fractional exponent rule is used. If the base of an expression is a fraction that is raised to an exponents, we use the same exponent rules that are used for bases that […]
Read More →Real Life Percentage Problems Percentages are a fundamental concept in mathematics and are used widely in various real-life scenarios. Understanding percentages can help solve many practical problems involving discounts, interest rates, population changes, data interpretation, and more. Here are some detailed examples of how percentages are used in real life: 1. Shopping Discounts When shopping, […]
Read More →Subtraction of Rational Numbers Subtraction of rational numbers involves finding the difference between two rational numbers. A rational number is a number that can be expressed as a fraction a/b, where a and b are integers, and b≠0. Steps to Subtract Rational Numbers: 1. Find a Common Denominator: If the denominators of the rational numbers […]
Read More →How to find Percentage of a given Number Finding the percentage of a given number involves determining what part of the number corresponds to a specific percentage. Here’s a detailed step-by-step explanation of how to calculate it: Step-by-Step Process Understand the Problem: Let’s say we want to find 20% of 50. Convert the Percentage to […]
Read More →Complex Numbers-Definition, Formula, Properties Complex numbers are an extension of the real numbers, allowing for the inclusion of solutions to equations that do not have real solutions. Here’s a detailed explanation: Definition A complex number is of the form: z=a+bi Where: a and b are real numbers. i is the imaginary unit, defined by the […]
Read More →Basic Word Problems With Solution Here are a few basic word problems along with detailed solutions: These problems cover basic arithmetic operations such as addition, subtraction, multiplication, and division, providing practical examples for better understanding. Problem 1: Simple AdditionProblem: Sarah has 5 apples. She buys 3 more apples. How many apples does she have now? […]
Read More →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 […]
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