Question

Which of the following are like decimals?
$5.70, 15.07, 9.96, 0.18.$

Answer 1

Hint: We know that a decimal number is a number that has decimal points and non-zero digits after the point. We also know that the decimal numbers that contain the same number of decimal places are called decimals.

Complete step by step solution:
Let us consider the given decimal numbers $5.70, 15.07, 9.96, 0.18.$
We are asked to find the like decimals among the given decimal numbers.
We know that the decimal numbers that contain the same number of decimal places are called decimals.
Let us check which of the given decimal numbers contain the same number of decimal places.
We will take the first decimal number into consideration.
That is $5.70.$ This number has only one decimal place since there is no non-zero digit after zero. And when the last digit after the decimal point is zero, we do not count it as a decimal place.
Now, in the second number $15.07,$ there are two decimal places for there is a non-zero digit after zero.
Similarly, we can see that the third number $9.96$ contains two decimal places.
As we can see, the fourth number $0.18$ also contains two decimal places.
Hence $15.07, 9.96$ and $0.18$ are like decimals.

Note: We should always remember that the decimal numbers that do not contain the same number of decimal places are called unlike decimals. If there is no non-zero digit after the last zero in the decimal place, then the zero does not have value. That means, we do not consider that zero while counting the decimal places.