The DAV Maths Book Class 5 Solutions and DAV Class 5 Maths Chapter 6 Worksheet 1 Solutions of Addition and Subtraction of Decimal Numbers offer comprehensive answers to textbook questions.
DAV Class 5 Maths Ch 6 Worksheet 1 Solutions
Question 1.
Add the following decimal numbers.
(a)
Solution:
(b)
Solution:
(c)
Solution:
(d)
Solution:
(e)
Solution:
(f)
Solution:
Question 2.
Arrange in columns and add.
(a) 0.35 + 0.62
Solution:
Convert into like decimals then add
(b) 8.496 + 2.564
Solution:
(c) 25.08 + 5.8
Solution:
(d) 14.9 + 64.941
Solution:
(e) 3.19 + 27.974 + 8.8
Solution:
(f) 31.001 + 13.01 + 131.1
Solution:
(g) 7.8 + 31.856 + 0.956
Solution:
(h) 191.38 + 12.904 + 76.1
Solution:
DAV Class 5 Maths Chapter 6 Worksheet 1 Notes
The fractions in which the denominators are 10, 100, 1000, etc. are known as decimal numbers.
e.g. \(\frac{1}{10}\) = .1, \(\frac{1}{100}\) = .03, \(\frac{4}{1000}\) = .004
Like decimals:
The decimal numbers which have the same number of decimal places are called like decimals
e.g. 3.26, 5.78.
Unlike decimals:
The decimal numbers have different numbers of decimal places, unlike decimals.
eg. 1.001, 3.280.
We can convert unlike decimals into like decimals without changing their values. Adding zeroes to the right of a decimal number makes them like decimals.
e.g. 3.3, 4.73, 1.393 – Unlike decimals
3.300, 4.730, 1.393 – Like decimals
If we change the order of the addends, the sum remains the same.
e.g. 1.2 + 2.4 = 3.6 or 2.4 + 1.2 = 3.6
If we change the groupings of the addends then also the sum remains the same.
e.g. 2.3 + (1.4 + 3.3) = 2.3 + 4.7 = 7.0
or
(2.3 + 1.4) + 3.3 = 3.7 + 3.3 = 7.0
If zero is added to any decimal number or a decimal number is added to zero, the sum is the number itself.
e.g. 7.2 + 0 = 7.2
0 + 4.2 = 4.2
When we subtract zero from a decimal number, we get the decimal number itself.
e.g. 7.2 – 0 = 7.2
Addition of Decimal Numbers
We can add decimal numbers in the same way as we add whole numbers.
e.g. Add like decimals 3.56 and 5.56 3 56
- Arrange the digits in the place value columns.
- The decimal point should come one below the other in the column.
- Add the addends just as we add whole numbers.
- Decimal point placed in sum also.
e.g. Add unlike decimals 17.576 and 49.36
17.576 + 49.360
Converting into like decimals.
