Respuesta :
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
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