What is the value of the digit 6 in the number 8.36?

Class 6DecimalsDecimals

A $\frac{6}{100}$
B $\frac{6}{10}$
C6
D $\frac{6}{1000}$

Step-by-Step Solution

The 6 is the second digit after the decimal point, so it is in the hundredths place. Its value is

6 \times \frac{1}{100} = \frac{6}{100}

Answer: A)

\frac{6}{100}

Key idea: Place value to the right of the decimal point

To the LEFT of the decimal point: ones, tens, hundreds — each place is **10 times** bigger than the one to its right. To the RIGHT of the decimal point, the same rule continues — each place is **10 times smaller** than the one to its left. So:

- 1st place after the point: tenths (1/10)
- 2nd place: hundredths (1/100)
- 3rd place: thousandths (1/1000)

The decimal

23.456 = 2 \times 10 + 3 \times 1 + 4 \times (1/10) + 5 \times (1/100) + 6 \times (1/1000)

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