NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - True or False Questions
Question 65

Question. 65

13.730 = 13.73

Answer:

true

Detailed Answer with Explanation:

Idea: A zero at the end of a decimal does not change the value.

Step 1: Write each number using place value (as fractions).

For 13.730:

\(13.730 = 13 + \tfrac{7}{10} + \tfrac{3}{100} + \tfrac{0}{1000}\)

For 13.73:

\(13.73 = 13 + \tfrac{7}{10} + \tfrac{3}{100}\)

Step 2: Notice that \(\tfrac{0}{1000} = 0\).

So, \(13 + \tfrac{7}{10} + \tfrac{3}{100} + 0 = 13 + \tfrac{7}{10} + \tfrac{3}{100}\).

Step 3: Both numbers are the same.

Therefore, \(13.730 = 13.73\).

Conclusion: The statement is True.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 4: Fractions & Decimals – True or False Questions | Detailed Answers