Question

Convert each of the following into like decimals:
$6.5$, \[16.03\], $0.274$, $119.4$

Answer 1

Hint: Like decimals are those decimals numbers which have the same number of digits after the decimal. Here, it doesn’t matter whether the number of digits before the decimal are the same or not.

Complete step-by-step answer:
In this question we are given with few numbers and we have to convert them into like decimals.
First of all, look for the number which has the maximum number of digits after the decimal.
Then, look at the number which has a lesser number of digits after the decimal than the number which has maximum digits.
Here, the number with maximum digits after two decimal places is $0.274$.
Now putting the zeros after the decimal place in all those numbers to match with the number with maximum digits after decimal. As they will not change the value of the number i.e. after decimal the zeros at the right side have no value.
$
   \Rightarrow 6.5 = 6.500 \\
   \Rightarrow 16.03 = 16.030 \\
   \Rightarrow 119.4 = 119.400 \\
$
Hence, by doing so we have converted all the given numbers into the like decimals.

Note: Common mistake done by students is they start counting total number of digits i.e. after decimal and before decimal rather than counting digits after decimal point only. Take care of this thing.
We can compare two decimals by the following steps
Firstly, convert the unlike decimals into like decimals.
After that compare the whole part i.e. number before decimal point. The decimal having greater number before decimal is greater i.e. whole part.
If the numbers before the decimal point are equal then compare the digits after the decimal point.
We can change a decimal into fractions, by following steps
First of all, take the number before the decimal point as the numerator of the fraction.
In denominator write the power of 10 as many numbers are there in digits after decimal point.
Convert it into reduced form and you can also change it into mixed fraction.