Question

smallest to largest 0.72, 0.7, 0.072, 0.07, 0.702 descending

Answer 1

The smallest to largest is 0.07 < 0.072 < 0.7 < 0.702 < 0.72 and as per descending order it is 0.72 > 0.702 > 0.7> 0.072 > 0.07.

Given:

The following numbers are given.

0.72, 0.7, 0.072, 0.07, 0.702.

To find :

The numbers 0.72, 0.7, 0.072, 0.07, and 0.702 have to arrange from smallest to largest and also in descending order.

Explanation:

The numbers given have to arrange from smallest to largest so this can be done by making the denominator of all numbers common.

1) 0.72 = $\frac{72}{100}$

2) 0.70 = $\frac{70}{100}$

3) 0.072 = $\frac{072}{1000}$

4) 0.07 = $\frac{07}{100}$

5) 0.702 = $\frac{702}{1000}$

Seeing the simplest form of the numbers only makes the denominator 1000 of all and then comparing the smallest to the largest number is easily made.

1) 0.72 = $\frac{72}{100}$ = $\frac{72}{100}\times\frac{10}{10}$ = $\frac{720}{1000}$

2) 0.70 = $\frac{70}{100}$ = $\frac{70}{100}\times\frac{10}{10}$ = $\frac{700}{1000}$

3) 0.072 = $\frac{072}{1000}$  

4) 0.07 = $\frac{07}{100}$ = $\frac{07}{100}\times\frac{10}{10}$ = $\frac{070}{1000}$

5) 0.702 = $\frac{702}{1000}$

The order of the smallest to largest numbers is :

$\frac{070}{1000}$ < $\frac{072}{1000}$ < $\frac{700}{1000}$ < $\frac{702}{1000}$ < $\frac{720}{1000}$

Therefore, 0.07 < 0.072 < 0.7 < 0.702 < 0.72 is the order from smallest to largest number.

Knowing that descending order of any number is the order from the largest number to the smallest number.

⇒ $\frac{720}{1000}$ > $\frac{702}{1000}$ > $\frac{700}{1000}$ > $\frac{072}{1000}$ > $\frac{070}{1000}$ .

Therefore, the descending order of the five numbers is 0.72 > 0.702 > 0.7> 0.072 > 0.07.

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