Question

Which of the following are like decimals?
4.8, 15.80, 0.700, 6.08

Answer 1

Hint: Find the number of decimal places in each of the numbers. Use the fact that like decimals, the number of decimal places are equal. Hence find the like decimals in the given list of numbers.

Complete step-by-step answer:
Before solving the question, we need to understand what decimals and unlike decimals are.
Decimals having the same number of decimal places are known as like decimals. In other words, decimals having the same number of digits to the right of the decimal point are said to like decimals.
Decimals which are not like are said to be unlike decimals. In other words, decimals having an unequal number of digits to the right of the decimal point are known as unlike decimals.
For number 4.8, number of digits to the right of the decimal point is 1
For number 15.80, the number of the digits to the right of the decimal point is 2
For number 0.700, the number of digits to the right of the decimal point is 3
For number 6.08, the number of digits to the right of the decimal point is 2
Hence, we conclude from the above definition 15.80 and 6.08 are like decimals.

Note: Students often make a mistake in solving these types of questions by neglecting the last 0s, e.g. they write 15.80 as 15.8 and conclude that the number of decimal places of 15.80 is 1 which is incorrect. All the digits after the decimal place(including 0s) which are written have to be included in the count.