The DAV Maths Book Class 5 Solutions and **DAV Class 5 Maths Chapter 8 Worksheet 1** Solutions of Simplification of Numerical Expressions offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 8 Worksheet 1 Solutions

Question 1.

Simplify the following numerical expressions.

(a) 3 × 2 + 8 – 5

Solution:

3 × 2 + 8 – 5 (3 × 2)

= 6 + 8 – 5 (6 + 8)

= 14 – 5

= 9

(b) 18 + 4 × 6 ÷ 2 – 9

Solution:

18 + 4 × 6 ÷ 2 – 9 (6 ÷ 2)

= 18 + 4 × 3 – 9 (4 × 3)

= 18 + 12 – 9 (18 + 12)

= 30 – 9

= 21

(c) 14 + 28 ÷ 7 × 3 – 17

Solution:

14 + 28 ÷ 7 × 3 – 17 (28 ÷ 7)

= 14 + 4 × 3 – 17 (4 × 3)

= 14 + 12 – 17 (14 + 12)

= 26 – 17

= 9

(d) 18 – 2 × 10 ÷ 2 + 2

Solution:

18 – 2 × 10 ÷ 2 + 2 (10 ÷ 2)

= 18 – 2 × 5 + 2 (2 × 5)

= 18 – 10 + 2 (Rearrange)

= 18 + 2 – 10 (18 + 2)

= 20 – 10

= 10

(e) 25 ÷ 5 × 8 + 6 – 12

Solution:

25 ÷ 5 × 8 + 6 – 12 (25 ÷ 5)

= 5 × 8 + 6 – 12 (5 × 8)

= 40 + 6 – 12 (40 + 6)

= 46 – 12

= 34

(f) 27 – 9 + 4 × 5

Solution:

27 – 9 + 4 × 5 (4 × 5)

= 27 – 9 + 20 (Rearrange)

= 27 + 20 – 9 (27 + 20)

= 47 – 9

= 38

(g) 17 × 3 + 81 ÷ 9 – 60

Solution:

17 × 3 + 81 ÷ 9 – 60 (81 ÷ 9)

= 17 × 3 + 9 – 60 (17 × 3)

= 51 + 9 – 60 (51 + 9)

= 60 – 60

= 0

(h) 27 – 42 ÷ 3 + 16

Solution:

27 – 42 ÷ 3 + 16 (42 ÷ 3)

= 27 – 14 + 16 (Rearrange)

= 27 + 16 – 14 (27 + 16)

= 43 – 14

= 29

**DAV Class 5 Maths Chapter 8 Worksheet 1 Notes**

Addition, Subtraction, Multiplication, and Division are basic mathematical operations.

Addition:

When some numbers are added, each number is called an addend. The result obtained is called their sum.

Subtraction:

- The large number is called minund.
- The number to be subtracted is called subtrahend.
- The result of subtraction is called difference.

Multiplication:

- The number to be multiplied is called a multiplicand.
- The number with which we multiply is called a multiplier.
- The result after multiplication is called a product.

Division:

- The number to be divided is called a dividend.
- The number by which we divide is called the divisor.
- The number of times the divisor is contained in a dividend is called a quotient.
- After subtracting the product of the divisor and quotient from the dividend, we get the remainder.

Dividend = (Divisor × Quotient) + Remainder

A mathematical expression in which two or more operations occur together is called a Numerical Expression.

These are called numerical expressions.

Remember: In order to solve a numerical expression we follow the Simplification Rule.

Simplify some numerical expressions.

Example 1.

Simplify 20 × 15 – 20

Solution:

Example 2.

Simplify 30 ÷ 3 × 2 – 6

Solution: