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Digiron [165]
2 years ago
12

Which of the following multiplication problems yield a product that is a rational number? Select TWO that apply.

Mathematics
1 answer:
ioda2 years ago
7 0

The two multiplication problems that yield a product that is a rational number are A  −2×57 and D  5×−3

First we will define what is meant by a rational number as well as an irrational number

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

An irrational number is a real number that cannot be written as a simple fraction. Also, an irrational number has endless non-repeating digits to the right of the decimal point.

  • For A  −2×57

The product −2×57 = −114

−114 can be expressed as −114/1 and −114 and 1 are integers.

∴ The product yields a rational number.

  • For B  25×32√

25×32√ that is 25×√32

The product 25×√32 = 141.4213562373095...

141.4213562373095... is an irrational number since it has endless non-repeating digits

∴ The product 25×32√ does not yield a rational number

  • For C  2π×13

The product 2π×13 = 81.68140899333462...

81.68140899333462... is an irrational number since it has endless non-repeating digits

∴ The product 2π×13 does not yield a rational number

  • For D  5×−3

The product  5×−3 = -15

−15 can be expressed as −15/1; and −15 and 1 are integers.

∴ The product yields a rational number.

Hence, the two multiplication problems that yield a product that is a rational number are A  −2×57 and D  5×−3

Learn more here: brainly.com/question/24723096

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