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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Observe the 3 products given in Example 32 and now give the answers of the following questions
i. Does interchanging the fractions in the example, 1/2 × 5/8, affect the answer
ii. Is the value of the fraction in the product greater or less than the value of either fraction

Solution:

To solve the above problem we will follow the fraction rules.

i. By interchanging the fractions 1/2 × 5/8 we get 5/8 × 1/2.

On multiplying we get the same result that is 5/16. This means that interchanging the fractions does not affect the answer.

ii. By observing the three different product values given in the solution of Example 32, we come to know that the value of the fractions in the products is as follows

a. The product of two fractions whose value is less than 1 i.e. the proper fractions is less than each of the fractions that are multiplied.
b. The product of a proper and an improper fraction is less than the improper fractions and greater than the proper fraction.
c. The product of two improper fractions is greater than each of the two fractions.

✦ Try This: Find the product of

i. 2/6 and 7/8

ii. 9/6 and 1/3

iii. 5/2 and 4/8

To solve the above problems you can try following the fraction rules and multiplication property of fractions.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 2

NCERT Exemplar Class 7 Maths Chapter 2 Solved Ex 33

Observe the 3 products given in Example 32 and now give the answers of the following questions, i. Does interchanging the fractions in the example, 1/2 × 5/8, affect the answer, ii. Is the value of the fraction in the product greater or less than the value of either fraction

Summary:

On solving we observed that interchanging the fractions does not affect the answer.

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