Question

6.

Arrange the following decimals in ascending order :
(a)    0.5, 5.5, 5.05, 0.05, 5.55
(b)    2.2, 2.26, 2.007, 2.002, 22​

Answer 1

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a) 0.05, 0.5, 5.05, 5.5, 5.55

b) 2.002, 2.007, 2.2, 2.26, 22

Hope it helps..

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Answer 2

Answer

Question ,

Arrange the following decimals in ascending order :

Arrange the following decimals in ascending order :(a)    0.5, 5.5, 5.05, 0.05, 5.55

Arrange the following decimals in ascending order :(a)    0.5, 5.5, 5.05, 0.05, 5.55(b)    2.2, 2.26, 2.007, 2.002, 22

Solution ,

Firstly we need to convert the decimal numbers into like decimals.

Like decimals

Decimals having the same number of decimal places are called like decimals.

For example : 7.53 & 76.45

a) 0.5, 5.5, 5.05, 0.05, 5.55

Converting into like decimals

0.50 , 5.50 , 5.05 , 0.05 , 5.55

Now let us compare each one,

Let us start from before decimal point.

Here, 5.50 , 5.05 , 5.55 are bigger than 0.50 & 0.05

Let us compare 1st digit after decimal place

Here, 5.55 & 5.50 are bigger than 5.05 and 5.05 is bigger than 0.50 and 0.50 is bigger than 0.05

Let us compare 2nd digit after decimal place

Here, 5.55 is bigger than 5.50 and 5.50 is bigger than 5.05 and 5.05 is bigger than 0.50 and 0.50 is bigger than 0.05

Summarizing the results we got above

We will get,

⚝ 0.05 < 0.50 < 5.05 < 5.50 < 5.55

b) 2.2, 2.26, 2.007, 2.002, 22

Converting into like decimals

2.200 , 2.260 , 2.007 , 2.002 , 22.000

Now let us compare each one

Starting from the before decimal point.

Here, 22.000 is greater than 2.200 , 2.260 , 2.007 , 2.002

Let us compare 1 st digit after decimal point

Here, 22.000 is greater than 2.200 , 2.260 , 2.007 , 2.002 . and 2.200 , 2.260 are greater than 2.007 , 2.002

Let us compare 2nd digit after decimal point

Here, 22.000 is greater than 2.200 , 2.260 , 2.007 , 2.002 and 2.260 is greater than 2.200 and 2.200 is greater than 2.007 and 2.002

Let us compare 3rd digit after decimal point

Here, 22.000 is greater than 2.200 , 2.260 , 2.007 , 2.002 and 2.260 is greater than 2.200 and 2.200 is greater than 2.007 and 2.002 and 2.007 is greater than 2.002

Summarizing the results we got above

We get,

⚝ 2.002 < 2.007 < 2.200 < 2.260 < 22.000