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. "

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.

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kidsfunlovegood kidsfunlovegood · Answer 2 · 2020-10-07T14:52:54+02:00

kidsfunlovegood kidsfunlovegood

07-10-2020

Step-by-step explanation:

hi do you know if 2and 5 can be by 100 ???

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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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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. "