Question

convert each of the following groups of unlike decimals into like decimals a)0.2,5.3,7.918 b)19.27,0.4,200.125​

Answer 1

Answer:

Step-by-step explanation:

In conversion of unlike decimals to like decimals follow the steps of the method.

Step I: Find the decimal number having the maximum number of decimal places, say (n).

Step II: Now, convert each of the decimal numbers to ‘n’ places of decimals.

Note:

If we put a number of zeros to the extreme right of decimal, the value of the decimal remains the same.

0.8 = 0.80 = 0.800

0.8 = 8/10 and 0.80 = 80/100 = 8/10 and 0.800 = 800/1000 = 8/10

Thus to convert unlike decimals to like decimals, we follow the same method. Convert the decimal numbers 5.42, 11.6 and 212.075 into like decimals.

Solution:

We observe that in the given decimals 5.42, 11.6 and 212.075; the maximum number of decimal places is three.

The decimal 212.075 has the maximum number of decimal places, i.e., 3. So, we convert each of the other decimal numbers into the one having three places of decimal.

So, 5.42 is written as 5.420,

11.6 is written as 11.600

212.075 is already having three decimal places.

Therefore, 5.420, 11.600 and 212.075 are expressed as like decimals.

2. Covert the following unlike decimals 1.72, 26.361, 3.35 and 0.9 into like decimals.

Solution:

We observe that in the given decimals 1.72, 26.361, 3.35 and 0.9 the maximum number of decimal places is three.

The decimal 26.361 has the maximum number of decimal places, i.e., 3. So, we convert each of the other decimal numbers into the one having three places of decimal.

So, 1.72 is written as 1.720,

26.361 is already having three decimal places,

3.35 is written as 3.350,

0.9 is written as 0.900

Therefore, all the decimal numbers 1.720, 26.361, 3.350 and 0.900 are converted to like decimals.

3. (i) Are the following decimals 9.5, 18.235 and 20.0254 are like or unlike decimals.

 

(ii) If, the decimals are unlike then convert it into like decimals.

Solution:

(i) The following decimals 9.5, 18.235 and 20.0254 are unlike decimals.

(ii) We observe that in the given decimals 9.5, 18.235 and 20.0254; the maximum number of decimal places is four.

The decimal 20.0254 has the maximum number of decimal places, i.e., 4. So, we convert each of the other decimal numbers into the one having four places of decimal.

So, 9.5 is written as 9.5000,

18.235 is written as 18.2350

20.0254 is already having four decimal places.

Therefore, 9.5000, 18.2350 and 20.0254 are the conversion to like decimals.