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Question

Which of the following is equal to 12.3 × 7.89?

(i) 1.23 × 7.89

(ii) 0.123 × 789

(iii) 1.23 × 78.9

(iv) 123 × 7.89

(v) 12.3 × 0.789

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Solution

12.3 × 7.89 =

=

=

(i) 1.23 × 7.89 =

It can be observed that the obtained fraction has 10000 as the denominator while the fraction obtained from the question has 1000 as the denominator.

Therefore, 1.23 × 7.89 is not equal to 12.3 × 7.89.

(ii) 0.123 × 789 =

It can be observed that the obtained fraction has 1000 as the denominator, which is same as the denominator of the fraction obtained from the question. Also, the numerators of both the fractions are same.

Therefore, 0.123 × 789 is equal to 12.3 × 7.89.

(iii) 1.23 × 78.9 =

It can be observed that the obtained fraction has 1000 as the denominator, which is same as the denominator of the fraction obtained from the question Also, the numerators of both the fractions are same.

Therefore, 1.23 × 78.9 is equal to 12.3 × 7.89.

(iv) 123 × 7.89 =

It can be observed that the obtained fraction has 100 as the denominator while the fraction obtained from the question has 1000 as the denominator.

Therefore, 123 × 7.89 is not equal to 12.3 × 7.89.

(v) 12.3 × 0.789 =

It can be observed that the obtained fraction has 10000 as the denominator while the fraction obtained from the question has 1000 as the denominator.

Therefore, 12.3 × 0.789 is not equal to 12.3 × 7.89.


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