Write each of the following as decimals:
(a) 5/10
(b) 3 + 7/10
(c) 200 + 60 + 5 + 1/10
(d) 70 + 8/10
(e) 88/10
(f) \(4\dfrac{2}{10}\)
(g) 3/2
(h) 2/5
(i) 12/5
(j) \(3\dfrac{3}{5}\)
(k) \(4\dfrac{1}{2}\)
Solution:
We use the concepts of fractions and decimals to write the given numbers as decimals.
As given in the question, the fractions can be converted into decimals as follows:
Fractions (Given) |
Decimal Value |
5/10 |
0.5 |
3 + 7/10 |
3 + 0.7 = 3.7 |
200 + 60 + 5 + 1/10 |
265 + 0.1 = 265.1 |
70 + 8/10 |
70 + 0.8 = 70.8 |
88/10 |
8.8 |
\(4\dfrac{2}{10}\) |
4 + 0.2 = 4.2 |
3/2 |
3/2 = (3×5)/(2×5) = 15/10 = 1.5 |
2/5 |
2/5 = (2×2)/(5×2) = 4/10 = 0.4 |
12/5 |
12/5 = (12×2)/(5×2) = 24/10 = 2.4 |
\(3\dfrac{3}{5}\) |
3 + 3/5 = 3 + (3×2)/(5×2) = 3 + 6/10 = 3 + 0.6 = 3.6 |
\(4\dfrac{1}{2}\) |
4 + 1/2 = 4 + (1×5)/(2×5) = 4 + 5/10 = 4 + 0.5 = 4.5 |
NCERT Solutions for Class 6 Maths Chapter 8 Exercise 8.1 Question 4
Write each of the following as decimals: (a) 5/10 (b) 3 + 7/10 (c) 200 + 60 + 5 + 1/10 (d) 70 + 8/10 (e) 88/10 (f) \(4\dfrac{2}{10}\) (g) 3/2 (h) 2/5 (i) 12/5 (j) \(3\dfrac{3}{5}\) (k) \(4\dfrac{1}{2}\)
Summary:
The decimals for the given fractions are (a) 0.5 (b) 3.7 (c) 265.1 (d) 70.8 (e) 8.8 (f) 4.2 (g) 1.5 (h) 0.4 (i) 2.4 (j) 3.6 (k) 4.5
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