The DAV Maths Book Class 5 Solutions and DAV Class 5 Maths Chapter 8 Worksheet 3 Solutions of Simplification of Numerical Expressions offer comprehensive answers to textbook questions.
DAV Class 5 Maths Ch 8 Worksheet 3 Solutions
Question 1.
Simplify the following numerical expressions.
(a) 1.1 + 2.5 – 1.5
Solution:
1.1 + 2.5 – 1.5 (1.1 + 2.5)
= 3.6 – 1.5
= 2.1
(b) 2.3 + 1.2 × 0.5 – 0.9
Solution:
2.3 + 1.2 × 0.5 – 0.9 (1.2 × 0.5)
= 2.3 + 0.60 – 0.9 (2.3 + 0.60)
= 2.90 – 0.9
= 2.00
= 2
(c) 28.9 – 20.8 + 3.9
Solution:
28.9 – 20.8 + 3.9
= 28.9 + 3.9 – 20.8 (28.9 + 3.9)
= 32.8 – 20.8
= 12.0
= 12
(d) 5.3 + 6 × 0.05 – 2.1
Solution:
5.3 + 6 × 0.05 – 2.1 (6 × 0.05)
= 5.3 + 0.30 – 2.1 (5.3 + 0.30)
= 5.60 – 2.1
= 3.50
(e) 2.5 ÷ 5 × 0.4 + 2
Solution:
2.5 ÷ 5 x 0.4 + 2
= \(\frac{2.5}{5}\) × 0.4 + 2
= 0.5 × 0.4 + 2 (0.5 × 0.4)
= 0.20 + 2
= 2.20
(f) 3.6 ÷ 0.9 × 0.5 – 2
Solution:
3.6 ÷ 0.9 × 0.5 – 2 (3.6 ÷ 0.9)
= \(\frac{3.6 \times 10}{0.9 \times 10}\) × 0.5 – 2
= 4 × 0.5 – 2 (4 × 0.5)
= 2.0 – 2
= 0
Word Problems
Example.
Simplify: 0.3 + 3.5 – 0.9 ÷ 0.3
Solution:
= 0.3 + 3.5 – 3 (Then, add 0.3 + 3.5)
= 3.8 – 3 (Lastly, subtract 3.8 – 3)
= 0.8