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In the number 42.567, what is the place value of the digit 6?

Class 7Fractions and DecimalsFractions and Decimals
  • A
  • B
  • C
  • D6

Step-by-Step Solution

Count the places after the decimal point: 5 is tenths, 6 is hundredths, 7 is thousandths. So 6 stands for . The trap is treating the first digit you notice as tenths — that gives .
Answer: B)

Key idea: Dividing decimals

Two cases:

**By a whole number**: divide as if the decimal weren't there, then place the decimal in the answer above its position in the dividend. 4.8 ÷ 6 = 0.8 (because 48 ÷ 6 = 8, and the decimal sits above).

**By a decimal**: shift the decimal point in BOTH numbers the same number of places to make the divisor a whole number. Then divide as in case 1. 4.8 ÷ 0.6 → shift one place → 48 ÷ 6 = 8.

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