ML Aggarwal Solutions for Class 6 Maths Chapter 7 Decimals are the most preferred study materials due to their unique description of the concepts. Chapter 7 details the concept of Decimals. Learning using ML Aggarwal Solutions for Class 6 Chapter 7 aids students in developing in-depth knowledge about Decimals.
Chapter 7 – Decimals explains the study of any number from the base-ten number system. In this chapter, we will be focusing on the numbers that contain one or more digits to the right of the point. The decimal point separates the ones place from the tenths place in the number. Students can refer to ML Aggarwal Solutions for a better understanding of the concepts. Download the PDF available from the link given below.
ML Aggarwal Solutions for Class 6 Maths Chapter 7 Decimals
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1. Write each of the following decimal numbers in words:
(i) 30.5
(ii) 0.03
(iii) 108.56
(iv) 47.20
(v) 5.008
(vi) 26.039
Solution:-
Given decimal can be written in the word form as,
(i) 30.5 = Thirty point five
(ii) 0.03 = zero point zero three
(iii) 108.56 = One hundred eight point five six
(iv) 47.20 = Forty-seven point two zero.
(v) 5.008 = Five point zero zero eight
(vi) 26.039 = Twenty-six point zero three nine
2. Write each of the following decimal numbers in the place value table :
(i) 4.2
(ii) 0.3
(iii) 205.9
(iv) 0.29
(v) 2.08
(vi) 7200.812
(vii) 38.007
Solution:-
Given decimal number can be written in the place value table as,
Places | Thousands | Hundreds | Tens | One | Tenths | Hundredths | Thousandths |
Values | 1000 | 100 | 10 | 1 | 1/10 | 1/100 | 1/1000 |
(i) 4.2 | 4 | 2 | |||||
(ii) 0.3 | 0 | 3 | |||||
(iii) 205.9 | 2 | 0 | 5 | 9 | |||
(iv) 0.29 | 0 | 2 | 9 | ||||
(v) 2.08 | 2 | 0 | 8 | ||||
(vi) 7200.812 | 7 | 2 | 0 | 0 | 8 | 1 | 2 |
(vii) 38.007 | 3 | 8 | 0 | 0 | 7 |
3. Write the following decimal numbers in the expanded form :
(i) 123.7
(ii) 43.06
(iii) 509.306
Solution:-
(i) 123.7 = 100 + 20 + 3 + 7/10
(ii) 43.06 = 40 + 3 + 6/100
(iii) 509.306 = 500 + 9 + 3/10 + 6/1000
4. Write each of the following as a decimal number.
(i) 200 + 60 + 5 + 3/10
Solution:-
The above question can be written in decimal form as = 265.3
(ii) 50 + 1/10 + 6/100
Solution:-
The above question can be written in decimal form as = 50.16
(iii) 70 + 6 + 7/10 + 9/1000
Solution:-
The above question can be written in decimal form as = 76.709
(iv) 600 + 7 + 3/100 + 6/1000
Solution:-
The above question can be written in decimal form as = 607.036
5. Write each of the following as decimals:
(i) Two ones and five-tenths
Solution:-
The above questions can be written as,
= (2 × 1) + (5 × (1/10))
= 2 + 5/10
= 2 + 0.5
= 2.5
(ii) Two tens and nine-tenths
Solution:-
The above questions can be written as,
= (2 × 10) + (9 × (1/10))
= 20 + 9/10
= 20 + 0.9
= 20.9
(iii) Six hundred point eight
Solution:-
The above questions can be written as,
= 600.8
(iv) Two hundred five and five hundredths
Solution:-
The above questions can be written as,
= (205) + (5 × (1/100))
= 205 + 5/100
= 205 + 0.05
= 205.05
(v) Seven and fifteen thousandths
Solution:-
The above questions can be written as,
= (7 × 1) + (15 × (1/1000))
= 7 + 15/1000
= 7 + 0.015
= 7.015
6. Write the number given in the following place value table in decimal form:
Thousands | Hundreds | Tens | One | Tenths | Hundredths | Thousandths | |
1000 | 100 | 10 | 1 | 1/10 | 1/100 | 1/1000 | |
(i) | 7 | 1 | 0 | 2 | 3 | 0 | 6 |
(ii) | 2 | 1 | 1 | 9 | 0 | 2 | |
(iii) | 3 | 0 | 5 | 3 | 0 | 1 | 5 |
(iv) | 7 | 0 | 0 | 3 | |||
(v) | 5 | 4 | 0 | ||||
(vi) | 7 | 1 | 9 | 0 | 2 | 8 |
Solution:-
(i) 7102.306
(ii) 211.902
(iii) 3053.015
(iv) 70.03
(v) 5.40
(vi) 719.028
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