Rational numbers - TACHS Math

Card 0 of 2

Question

Which of the following is equal to six thousand seven ten-thousandths?

Answer

"Six thousand seven ten-thousandths" in fraction form is $\frac{6,007}{10,000}$ . To write this in decimal form, put the "7" in the ten-thousandths place, which is the fourth place after the decimal point. This number is "0.6007."

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Question

Examine the decimal

What is the place value of the position occupied by the "6"?

Answer

After the decimal point, the place values of the digits are, in order:

$\frac{1}{10^1} = \frac{1}{10}$

$\frac{1}{10^2} = \frac{1}{100}$

$\frac{1}{10^3} = \frac{1}{1,000}$

$\frac{1}{10^4} = \frac{1}{10,000}$ ...

The "6" is in the fourth place after the decimal point, so its place value is one ten-thousandth.

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