Question

Convert each of the following into like decimals
3.5, 0.67, 15.6, 4

Answer 1

Hint: We need to convert the given decimals into like decimals. We start to solve the problem by identifying the decimal having greater decimal places after the decimal point. Then, we add the decimal places to the remaining decimals so that all the decimals have the same decimal places after the decimal to get the desired result.

Complete step by step solution:
We are given a set of decimals and are asked to convert them into like decimals. We will be solving the given question by identifying the decimal having greater decimal places after the decimal point and adding decimal places to the remaining decimals so that all the decimals have the same decimal places after the decimal.
In mathematics, a decimal number is a number whose whole number part and fractional part are separated by a decimal point.
For example,
Example: 2.67
In the above example,
2 is the whole number part in the decimal
0.67 is the fractional number part in the decimal
The point in the decimal is usually called the decimal point.
Decimals having the same number of digits after the decimal point are known as decimals.
Example: 1.57, 2.68.
From the question,
$\Rightarrow $ 3.5 has 1 decimal place after the decimal point
$\Rightarrow $ 0.67 has 2 decimal places after the decimal point
$\Rightarrow $ 15.6 has 1 decimal place after the decimal point
$\Rightarrow $ 4 has no fractional part
From the above,
0.67 has a greater number of decimal places after the decimal point.
Now, we need to add decimal places to the remaining decimals so that all the given decimals have 2 decimal places after the decimal point.
We can convert the 3.5 to a decimal having 2 decimal places after the decimal point by simply adding a zero to the right of the decimal point.
Adding a zero to the right of the decimal 3.5 after the decimal point, we get 3.50.
We can convert the 15.6 to a decimal having 2 decimal places after the decimal point by simply adding a zero to the right of the decimal point.
Adding a zero to the right of the decimal 15.6 after the decimal point, we get 15.60.
We can convert the 4 to a decimal having 2 decimal places after the decimal point by simply adding two zeros to the right of the decimal point.
Adding two zeros to the right of the decimal 4 after the decimal point, we get 4.00.
$\therefore $ The like decimals are 3.50, 0.67, 15.60, and 4.00 respectively.

Note: We must remember that adding zeros to the right of the decimal after the decimal point will not change the value of the decimal. So, all the unlike decimals, are converted into decimals by adding the required number of zeroes onto the right of the decimal in the decimal part.