Rational numbers

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Examine the decimal

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

Ten Thousandths

CORRECT

Tenths

Thousandths

Hundredths

Explanation

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.

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

CORRECT

Explanation

"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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