In 0.0074, the digit 7 is in which place value?

In 0.0074, the digit 7 is in which place value?

• A. Hundredths
• B. Tenths
• C. Thousandths
• D. Ten-thousandths

Answer: (C)

In decimals, each digit after the decimal point represents a fraction with denominator 10, 100, 1000, and so on. The first digit after the decimal is tenths, the second is hundredths, the third is thousandths, and the fourth is ten-thousandths. In 0.0074, the digits after the decimal are: tenths = 0, hundredths = 0, thousandths = 7, ten-thousandths = 4. Since the 7 sits in the third position after the decimal, it represents seven thousandths. You can also think of 0.0074 as 7 × 10^-3 plus 4 × 10^-4, highlighting that 7 contributes to the thousandths place.

In decimals, each digit after the decimal point represents a fraction with denominator 10, 100, 1000, and so on. The first digit after the decimal is tenths, the second is hundredths, the third is thousandths, and the fourth is ten-thousandths. In 0.0074, the digits after the decimal are: tenths = 0, hundredths = 0, thousandths = 7, ten-thousandths = 4. Since the 7 sits in the third position after the decimal, it represents seven thousandths. You can also think of 0.0074 as 7 × 10^-3 plus 4 × 10^-4, highlighting that 7 contributes to the thousandths place.