Q1: Simplify the expression
1. 15 – 7 + 4
Ans: 15 – 7 + 4 = 8 + 4 = 12
2. 9 – (4 + 2)
Ans: 9 – (4 + 2) = 9 – 6 = 3
3. 24 ÷ (8 – 5)
Ans: 24 ÷ (8 – 5) = 24 ÷ 3 = 8
4. 18 ÷ 2 + 4 × 2
Ans: 18 ÷ 2 + 4 × 2 = 9 + 8 = 17
5. 4 × (9 ÷ 3) + 5
Ans: 4 × (9 ÷ 3) + 5 = 4 × 3 + 5 = 12 + 5 = 17
Q2: Simplify the following numerical expression involving whole numbers:
(i) 12 + 4 - 8 ÷ 2 × 3
Ans: 4
(ii) 7 - 5 + 14 ÷ 2 + 6
Ans: 15
(iii) 37 - 6 × 4 + 32 ÷ 8
Ans: 17
(iv) 64 - 48 ÷ 6 × 4 + 8
Ans: 40
Q3: Simplify the following numerical expression involving fractional numbers:
1. 50 ÷ (10 - 5) + 7 × 2
Sol: Step 1: Solve the bracket:
(10 - 5) = 5
Now the expression becomes:
50 ÷ 5 + 7 × 2Step 2: Perform division and multiplication:
50 ÷ 5 = 10
7 × 2 = 14
Now the expression is:
10 + 14 = 24
2. (20 ÷ 4) + (6 × 3) - 5
Sol:
Step 1: Perform the operations inside the brackets:(20 ÷ 4) = 5
(6 × 3) = 18
Now the expression becomes:
5 + 18 - 5
Step 2: Perform addition and subtraction from left to right:
5 + 18 = 23
23 - 5 = 18
3. (15 - 5) × 2 + 6 ÷ 3
Sol:
Step 1: Solve the bracket:(15 - 5) = 10
Now the expression becomes:
10 × 2 + 6 ÷ 3
Step 2: Perform multiplication and division from left to right:
10 × 2 = 20
6 ÷ 3 = 2
Now the expression is:
20 + 2
Step 3: Perform the addition:
20 + 2 = 22
Q5: Simplify the following numerical expressions:
(i) 8{1 - {3 + (5 - 6 + 7)}}
Ans: -64
(ii)
Ans: 1/8
(iii)
Ans:
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1. What is simplification in mathematics? |
2. Why is simplification important for Class 5 students? |
3. What are some common methods used for simplification? |
4. Can you provide an example of simplification? |
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