Question 32 of 41beginner💡 UnderstandShort Answer2 marks

Will a decimal number with more digits be greater than a decimal number with fewer digits?

Correct Answer

Not necessarily. A decimal number with more digits is not always greater than one with fewer digits.

Example: 0.999 has more digits than 1.1 But 1.1 > 0.999

Reason: The comparison depends on the place values of the digits, not just the count of digits. 1.1 (two digits) is greater than 0.999 (three digits) because 1 > 0 in the units place.

Exercise: Figure it Out (Section 3) | Q: 6 | (Page Page 33)
For More Understanding

Explanation

The number of digits does not determine the magnitude of a decimal number. What matters is the place value of each digit. For example, 1.1 (two digits) is greater than 0.999 (three digits) because 1 > 0 in the units place.

Solution Steps

  1. Compare the place values of the digits, not just the number of digits.

  2. Check the highest place value first (units place for decimals).

  3. The number with the greater digit in the highest place value is the greater number.

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