Comparing Decimals
Can you tell which is greater, 0.07 or 0.1?
Take two pieces of square papers of the same size. Divide them into 100 equal parts. For 0.07 we have to shade 7 parts out of 100. Now, 0.1 =
0.07 =
This means 0.1
Let us now compare the numbers 32.55 and 32.5.
In this case , we first compare the whole part. We see that the whole part for both the numbers is 32.
We, however, know that the two numbers are
So, we now compare the tenth part. We find that for 32.55 and 32.5, the tenth part is also equal,then we compare the hundredth part.
We find, 32.55 = 32 + 5 10 5 100 5 10 0 100
Therefore, 32.55
Examples:
1.Which is greater?
(a) 1 or 0.99
1= 1+ 0 10 0 100
0.99 = 0 + 9 10 9 100
Therefore, 1
The whole part of 1 is greater than that of 0.99.
(b) 1.09 or 1.093
1.09 = 1 + 0 10 9 100 0 1000
1.093 = 1 + 0 10 9 100 3 1000
Therefore, 1.093
In this case, the two numbers have same parts upto hundredth. But the thousandths part of 1.093 is greater than that of 1.09.
EXERCISE
Try these:
(i) Write 2 rupees 5 paise and 2 rupees 50 paise in decimals.
- We know that 100 paisa = ₹1
- convert the fraction into decimal = ₹
- So, to get ₹2 and 5 paise
- converting
5 100 and now add the values - we get the desired decimal =
- Now, 2 rupees 50 paise =
- converting the
50 100 and now add the values - we get the desired decimal =
- We have found our answers.
Let's see some more examples
(ii) Write 20 rupees 7 paise and 21 rupees 75 paise in decimals
- We know that 100 paisa = ₹1
- convert the
1 100 - So, ₹20 7 paise =
- Convert the
7 100 and adding the values - we get the decimal is =
- And, ₹ 21 75 paise =
- Convert the
75 100 and adding the values - And, ₹ 21 75 paise =
- We have found our answers.