Find out the square of the number 7 3 .

A square is the result of multiplying a number by itself. Squaring is the same as raising to the power 2 . If m and n are natural numbers such that m can be expressed as n 2 , that is m = n 2 , then m is the square of n and the number m is a square number. Here, we have 7 3 . Square of a fraction is multiplied by itself. Thus, the square of 7 3 = 7 3 × 7 3 = 49 9 . Hence, the square of 7 3 is 49 9 .

Find out the square of the number 1 1 2 .

A square is the result of multiplying a number by itself. Squaring is the same as raising to the power 2 . If m and n are natural numbers such that m can be expressed as n 2 , that is m = n 2 , then m is the square of n and the number m is a square number. Here, we have 1 1 2 = 3 2 . Square of a fraction is multiplied by itself. Thus, the square of 3 2 = 3 2 × 3 2 = 9 4 . Hence, the square of 3 2 is 9 4 .

0 . 5 = 5 10 , right?

Here, we need to express the decimal number 0 . 5 into a fraction. We know, that while converting a decimal number into a fraction, the numerator of the fraction will be the decimal number itself without the decimal point and the denominator of the fraction will be a multiple of 10 . The number of 0 's after 1 will be equal to the number of digits in the given decimal number. Hence, while converting the decimal number 0 . 5 into a fraction, the numerator will be 5 [The decimal number 0 . 5 without the decimal point]. We observe that the number 0 . 5 has only 1 digit after the decimal point. So, the numerator will have 1 , followed by one 0 with it. Thus, the numerator will be 10 . Therefore, the fraction equivalent of the decimal number is 0 . 5 = 5 10 . This is correct. Usually, we leave the final answer in its lowest form. So, 0 . 5 = 5 10 = 5 ÷ 5 10 ÷ 5 = 1 2 . [Divide both the numerator and the denominator by the same number to reduce the fraction to its lowest term] Therefore, 0 . 5 = 5 10 = 1 2 is also correct.

E M B I B E

Mathematics for Class 7 - Part 1>Chapter 6 - Square and Square Root>Exercise 5

Kerala Board Solutions for Chapter: Square and Square Root, Exercise 5: Exercise 5

Author:Kerala Board

Kerala Board Mathematics Solutions for Exercise - Kerala Board Solutions for Chapter: Square and Square Root, Exercise 5: Exercise 5

Attempt the free practice questions on Chapter 6: Square and Square Root, Exercise 5: Exercise 5 with hints and solutions to strengthen your understanding. Mathematics for Class 7 - Part 1 solutions are prepared by Experienced Embibe Experts.