Page 201 - New Medley 5 Semester 1

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Converting Unlike Decimals into Like Decimals

We use the concept of equivalent decimals to convert unlike decimals into
like decimals.

Examples: 5.381, 62.5, 6.92 (Unlike decimals)

5.381, 62.500, 6.920 (Like decimals)

This helps us to compare as well as add or subtract decimals.

Comparing Decimals

Arun buys a chalk for `1.05 and an eraser for `1.5. Which item is cheaper?

To compare the prices of the above items, first, we convert them into like

decimals.

Here, cost of a chalk = `1.05 and cost of an eraser = `1.50

Now, compare whole number parts, here 1 each. Then, compare the digits
at the tenths place.

Here, 0 < 5, So, `1.05 < `1.50.

Hence, the chalk is cheaper than the eraser.

For comparing or ordering decimals, compare the wholes first, if they are

the same, then move to tenths, hundredths, thousandths and so on.

Example 3: Compare the following.

(a) 7.832, 63.2 (b) 5.9, 5.099 (c) 0.23, 0.251

Solution: (a) Make the decimals equivalent. 7.832, 63.2 → 63.200

Since, 7 < 63 (whole number part), therefore, 7.832 < 63.2

(b) 5.9 → 5.900 and 5.099 have the same wholes.

Here, 9 tenths > 0 tenths ∴ 5.900 > 5.099 or 5.9 > 5.099

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