Class 5 Exam > Class 5 Notes > Mathematics for Class 5 > Worksheet Solution: Simplification
Worksheet Solution: Simplification | Mathematics for Class 5 PDF Download
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
Ans: 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
Ans:
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
Ans:
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
Q4: Simplify the following numerical expressions:
(i) {[120 ÷ (4 × 3)] + (6 × 5)} × 2
Ans:
- Inner brackets first: 4 × 3 = 12
- Then: 120 ÷ 12 = 10
- Next: 6 × 5 = 30
- Now add: 10 + 30 = 40
- Multiply: 40 × 2 = 80
(ii) (180 – 36) ÷ [(2 + 4) × 3]
Ans:
- 180 – 36 = 144
- (2 + 4) × 3 = 6 × 3 = 18
- 144 ÷ 18 = 8
(iii) {200 – [(8 + 4) × 5]} ÷ 4
Ans:
8 + 4 = 12
12 × 5 = 60
200 – 60 = 140
140 ÷ 4 = 35
The document Worksheet Solution: Simplification | Mathematics for Class 5 is a part of the Class 5 Course Mathematics for Class 5.
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FAQs on Worksheet Solution: Simplification - Mathematics for Class 5
| 1. What is simplification in mathematics? |  |
Ans.Simplification in mathematics refers to the process of making expressions easier to understand or solve by reducing them to their simplest form. This often involves combining like terms, removing parentheses, and performing operations in a way that makes calculations easier.
| 2. Why is simplification important for Class 5 students? | |
Ans.Simplification is important for Class 5 students because it helps them develop critical thinking skills and the ability to solve problems more efficiently. Mastering simplification lays a strong foundation for more complex mathematical concepts they will encounter in later grades.
| 3. What are some common methods used for simplification? | |
Ans.Some common methods used for simplification include combining like terms, using the distributive property, and performing arithmetic operations like addition and subtraction. These methods allow students to rewrite expressions in a clearer and more manageable way.
| 4. Can you provide an example of simplification? | |
Ans.An example of simplification is the expression 2x + 3x. By combining like terms, we can simplify it to 5x. This demonstrates how different terms that have the same variable can be added together to simplify the expression.
| 5. How can I practice simplification at home? | |
Ans.To practice simplification at home, students can work on worksheets that include various expressions to simplify, use online math games that focus on simplification, and try to solve real-life problems that require simplifying calculations, such as budgeting or measuring.
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