Decide whether the following statement is always, sometime, or never true. Explain your reasoning.

" Any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5. "

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Mathematics

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8 February, 07:59

Decide whether the following statement is always, sometime, or never true. Explain your reasoning.

" Any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5. "

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Cullen Villegas · Answer 1

Yes this is always true because the denominator starts off being 1000 which is equal to 2^3*5^3. The bases of 2 and 5 can be factored out to show 1000 is divisible by both 2 and 5.

For example, the number 0.738 can be written as 738/1000

This is why the naming convention "738 thousandths" is used, and it's not coincidental.

Decide whether the following statement is always, sometime, or never true. Explain your reasoning." Any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5. "

Decide whether the following statement is always, sometime, or never true. Explain your reasoning.

" Any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5. "