NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - True or False Questions
Question 51

Question. 51

The place value of a digit at the tenths place is 10 times the same digit at the ones place.

Answer:

false

Detailed Answer with Explanation:

  1. Place values:
    Ones place = \(1\)
    Tenths place = \(\tfrac{1}{10}\)
  2. Let the digit be \(d\).
  3. Value at the ones place:
    \[ d \times 1 = d \]
  4. Value at the tenths place:
    \[ d \times \tfrac{1}{10} = \tfrac{d}{10} \]
  5. Compare the two values:
    \[ \tfrac{d}{10} = \tfrac{1}{10} \times d \]

    The tenths value is one-tenth of the ones value, not 10 times.

  6. Quick example (take \(d = 7\)):
    Ones value:
    \[ 7 \times 1 = 7 \]
    Tenths value:
    \[ 7 \times \tfrac{1}{10} = 0.7 \]

    Since \(0.7 = \tfrac{1}{10} \times 7\), the statement is false.

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