Solved on Sep 26, 2023

Prove that 3.60573.6057 is a rational number by expressing it as a ratio of two integers.

STEP 1

Assumptions1. A rational number is a number that can be expressed as a ratio of two integers. . The number we are trying to prove as rational is3.6057.

STEP 2

To express.6057 as a ratio of two integers, we need to eliminate the decimal. We can do this by multiplying the number by a power of10 that is equal to the number of decimal places.
.6057times10,000=36,057.6057 \\times10,000 =36,057

STEP 3

Now, we can express3.6057 as a ratio of two integers by dividing the result from the previous step by the power of10 we used.
36,05710,000\frac{36,057}{10,000}

STEP 4

This gives us the ratio of two integers that represents the number3.6057.
3.6057=36,05710,0003.6057 = \frac{36,057}{10,000}Therefore,3.6057 is a rational number because it can be expressed as a ratio of two integers.

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