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Chapter 8: Decimals > Comparing Decimals

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 parts out of 100.

0.07 =

Now, 0.1 = 110 = 10100.

So, for 0.1, shade parts out 100.

0.1 = 110 =

This means 0.1 0.07

Instruction

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 .
We 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 ,then we compare the hundredth part.
We find, 32.55 = 32 + + and 32.5 = 32 + +
Therefore, 32.5532.5 as the hundredth part of 32.55 is more.

1.Which is greater?

Instruction

(a) 1 or 0.99
1 = + +
0.99 = + +
Therefore, 1 0.99
The whole part of 1 is than that of 0.99.
(b) 1.09 or 1.093
1.09 = + + +
1.093 = + + +
Therefore, 1.093 1.09
In this case, the two numbers have same parts upto hundredth. But the thousandths part of 1.093 is than that of 1.09.

(i) Write 2 rupees 5 paise and 2 rupees 50 paise in decimals.

Instruction

2 rupees 5 paise and 2 rupees 50 paise

  • We know that 100 paisa = ₹1
  • convert the fraction into decimal = ₹
  • So, to get ₹2 and 5 paise
  • converting 5100 into decimal we get, and now add the values
  • we get the desired decimal =
  • Now, 2 rupees 50 paise =
  • converting the 50100 into decimal we get, and now add the values
  • we get the desired decimal =
  • We have found our answers.

(ii) Write 20 rupees 7 paise and 21 rupees 75 paise in decimals.

Instruction

20 rupees 7 paise and 21 rupees 75 paise

  • We know that 100 paisa = ₹1
  • convert the 1100 into decimal = ₹
  • So, ₹20 7 paise =
  • Convert the 7100 into decimal is and adding the values
  • we get the decimal is =
  • And, ₹ 21 75 paise =
  • Convert the 75100 into decimal is and adding the values
  • And, ₹ 21 75 paise =
  • We have found our answers.