Answer
427.5k+ views
Hint: To write in descending order means writing from largest to the smallest. The largest and smallest numbers can be found by comparing the whole part, the tenth part, the hundredth part, and so on. In each part, we have to check which is the greatest and if this is the same proceed to the next part.
Complete step by step answer:
Here we are given three sets of decimals. We are asked to write in descending order. This means we have to rearrange the numbers in such a way that the first one is the largest among them and the second one is the second-largest and so on. Thus we get the smallest number at the end.
For finding the largest and smallest, we must have some ideas about decimals.
A number has two parts. We can call them the whole part and the decimal part.
For integers like $1,2,3...$, the decimal part is absent. So we call these numbers as whole numbers.
The decimal part is that one which appears after the decimal point.
A number is greater than another if the whole part of the former is greater than that of the latter, no matter what the decimal part is. If the whole part of the two numbers is the same, we can compare it for the decimal part.
The first digit on the decimal part is called the tenth part, the second digit the hundredth part, and so on.
We can consider one by one.
1) $6.4,6.46,0.646,4.66$
Here the first two numbers have the whole part $6$ and the next two numbers have the whole part $0,4$.
So we can say directly that the first two numbers are greater than rest two and further $4.66 > 0.646$.
Now consider $6.4$ and $6.46$. Here the whole part as well as the tenth part is the same.
If we represent as fractions we get, $6.4 = 6 + \dfrac{4}{{10}}$ and $6.46 = 6 + \dfrac{4}{{10}} + \dfrac{6}{{100}}$.
This gives $6.46 > 6.4$
$\therefore$ The required answer: $6.46 > 6.4 > 4.66 > 0.646$
2) $9.21,19.2,2.91,1.29$
Here using the same way we get,
$9.21 = 9 + \dfrac{2}{{10}} + \dfrac{1}{{100}}$
$19.2 = 19 + \dfrac{2}{{10}}$
$2.91 = 2 + \dfrac{9}{{10}} + \dfrac{1}{{100}}$
$1.29 = 1 + \dfrac{2}{{10}} + \dfrac{9}{{100}}$
$\therefore$ The required answer: $19.2 > 9.21 > 2.91 > 1.29$
3) $8.62,86.2,0.82,862.0$
Here,
$8.62 = 8 + \dfrac{6}{{10}} + \dfrac{2}{{100}}$
$86.2 = 86 + \dfrac{2}{{10}}$
$0.82 = 0 + \dfrac{8}{{10}} + \dfrac{2}{{100}}$
$862.0 = 862 + \dfrac{0}{{10}} = 862$
Comparing we have $862 > 86.2 > 8.62 > 0.82$
$\therefore$ The required answer: $862 > 86.2 > 8.62 > 0.82$
Note:
The reverse order of descending is called ascending, which is from smallest to largest. Also, the trailing zeros if any at the end of the decimal doesn’t increase or decrease the decimal value. But zeros which appear immediately after the decimal point and precede a non-zero number decrease the number value.
Complete step by step answer:
Here we are given three sets of decimals. We are asked to write in descending order. This means we have to rearrange the numbers in such a way that the first one is the largest among them and the second one is the second-largest and so on. Thus we get the smallest number at the end.
For finding the largest and smallest, we must have some ideas about decimals.
A number has two parts. We can call them the whole part and the decimal part.
For integers like $1,2,3...$, the decimal part is absent. So we call these numbers as whole numbers.
The decimal part is that one which appears after the decimal point.
A number is greater than another if the whole part of the former is greater than that of the latter, no matter what the decimal part is. If the whole part of the two numbers is the same, we can compare it for the decimal part.
The first digit on the decimal part is called the tenth part, the second digit the hundredth part, and so on.
We can consider one by one.
1) $6.4,6.46,0.646,4.66$
Here the first two numbers have the whole part $6$ and the next two numbers have the whole part $0,4$.
So we can say directly that the first two numbers are greater than rest two and further $4.66 > 0.646$.
Now consider $6.4$ and $6.46$. Here the whole part as well as the tenth part is the same.
If we represent as fractions we get, $6.4 = 6 + \dfrac{4}{{10}}$ and $6.46 = 6 + \dfrac{4}{{10}} + \dfrac{6}{{100}}$.
This gives $6.46 > 6.4$
$\therefore$ The required answer: $6.46 > 6.4 > 4.66 > 0.646$
2) $9.21,19.2,2.91,1.29$
Here using the same way we get,
$9.21 = 9 + \dfrac{2}{{10}} + \dfrac{1}{{100}}$
$19.2 = 19 + \dfrac{2}{{10}}$
$2.91 = 2 + \dfrac{9}{{10}} + \dfrac{1}{{100}}$
$1.29 = 1 + \dfrac{2}{{10}} + \dfrac{9}{{100}}$
$\therefore$ The required answer: $19.2 > 9.21 > 2.91 > 1.29$
3) $8.62,86.2,0.82,862.0$
Here,
$8.62 = 8 + \dfrac{6}{{10}} + \dfrac{2}{{100}}$
$86.2 = 86 + \dfrac{2}{{10}}$
$0.82 = 0 + \dfrac{8}{{10}} + \dfrac{2}{{100}}$
$862.0 = 862 + \dfrac{0}{{10}} = 862$
Comparing we have $862 > 86.2 > 8.62 > 0.82$
$\therefore$ The required answer: $862 > 86.2 > 8.62 > 0.82$
Note:
The reverse order of descending is called ascending, which is from smallest to largest. Also, the trailing zeros if any at the end of the decimal doesn’t increase or decrease the decimal value. But zeros which appear immediately after the decimal point and precede a non-zero number decrease the number value.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)