ML Aggarwal Solutions for Class 6 Maths Chapter 7 Decimals is the most preferred study material due to its unique description of the concepts. In Chapter 7, a distinctive attempt is made to build an understanding of Decimals. Pursuing this ML Aggarwal Solutions for Class 6 Chapter 7 would ensure that you develop in-depth knowledge about Decimals.
Chapter 7 – Decimals is based on 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 helps in separating the ones place from the tenths place in the number. Students can refer to ML Aggarwal Solutions for better understand of the concepts and can download the PDF available from the links given below.
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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:-
Above question can be written in decimal form as = 265.3
(ii) 50 + 1/10 + 6/100
Solution:-
Above question can be written in decimal form as = 50.16
(iii) 70 + 6 + 7/10 + 9/1000
Solution:-
Above question can be written in decimal form as = 76.709
(iv) 600 + 7 + 3/100 + 6/1000
Solution:-
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:-
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:-
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:-
Above questions can be written as,
= 600.8
(iv) Two hundred five and five hundredths
Solution:-
Above questions can be written as,
= (205) + (5 × (1/100))
= 205 + 5/100
= 205 + 0.05
= 205.05
(v) Seven and fifteen thousandths
Solution:-
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