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Explain how You know that the quotient 47.3/10 is equal to the product 47.3 x0.1

(General question don’t use examples)

User Kaarel
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2 Answers

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16 votes

Answer:

The quotient 47.3/10 is equal to the product 47.3 x 0.1 because division and multiplication are inverse operations. In other words, dividing a number by another number is the same as multiplying it by the reciprocal of that number.

Explanation:

User Oleg Fridman
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21 votes

Answer:

The quotient 47.3/10 is equal to the product 47.3 x 0.1 because division and multiplication are inverse operations. In other words, dividing a number by another number is the same as multiplying it by the reciprocal of that number.

Explanation:

The reciprocal of a number is defined as 1 divided by that number. For example, the reciprocal of 10 is 1/10, which is equal to 0.1.

Therefore, dividing 47.3 by 10 is the same as multiplying it by the reciprocal of 10, which is 0.1. This is why the quotient 47.3/10 is equal to the product 47.3 x 0.1.

This relationship between division and multiplication can be written as follows:

a/b = a x (1/b) = a x b^(-1)

where a and b are numbers, and b^(-1) is the reciprocal of b.

User Olorin
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