Class 5 Exam > Class 5 Notes > Mathematics for Class 5 > Worksheet: Simplification
Worksheet: Simplification | Mathematics for Class 5 PDF Download
Q 1: Simplify the following
1. 15 – 7 + 4
2. 9 – (4 + 2)
3. 24 ÷ (8 – 5)
4. 18 ÷ 2 + 4 × 2
5. 4 × (9 ÷ 3) + 5
Q 2: Simplify the following numerical expression involving whole numbers:
1. 12 + 4 - 8 ÷ 2 × 3
2. 7 - 5 + 14 ÷ 2 + 6
3. 37 - 6 × 4 + 32 ÷ 8
4. 64 - 48 ÷ 6 × 4 + 8
Q 3: Simplify the following numerical expressions involving decimal numbers:
1. 50 ÷ (10 - 5) + 7 × 2
2. (20 ÷ 4) + (6 × 3) - 5
3.(15 - 5) × 2 + 6 ÷ 3
Q 4: Simplify the following numerical expressions:
1. {[120 ÷ (4 × 3)] + (6 × 5)} × 2
2. (180 – 36) ÷ [(2 + 4) × 3]
3. {200 – [(8 + 4) × 5]} ÷ 4
The solutions of the worksheet "Simplification"
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FAQs on Worksheet: Simplification - Mathematics for Class 5
| 1. What are the key methods for simplifying mathematical expressions? |  |
Ans. The key methods for simplifying mathematical expressions include combining like terms, using the distributive property, factoring, and reducing fractions. Combining like terms involves adding or subtracting terms that have the same variable and exponent. The distributive property helps in removing parentheses by multiplying a term outside the parentheses by each term inside. Factoring allows expressions to be rewritten as a product of simpler factors, and reducing fractions involves simplifying the numerator and denominator by their greatest common factor.
| 2. Why is it important to simplify expressions in mathematics? | |
Ans. Simplifying expressions is important because it makes calculations easier and clearer. Simplified expressions are typically more manageable and can reveal underlying relationships between variables. This process also helps to reduce the potential for errors in calculations, especially in more complex equations, making it crucial for problem-solving in algebra, calculus, and other areas of mathematics.
| 3. What are some common mistakes to avoid when simplifying expressions? | |
Ans. Common mistakes to avoid when simplifying expressions include neglecting to combine like terms correctly, forgetting to distribute terms properly, misapplying exponent rules, and not simplifying fractions completely. Additionally, it's important to be cautious with negative signs and to maintain the correct order of operations, as these can lead to incorrect results if overlooked.
| 4. How does the distributive property work in the context of simplification? | |
Ans. The distributive property allows you to multiply a single term by each term within a set of parentheses. For example, in the expression a(b + c), you can apply the distributive property to rewrite it as ab + ac. This method is useful in simplifying expressions by eliminating parentheses, making it easier to combine like terms or perform further calculations.
| 5. Can you explain the process of factoring as a method of simplification? | |
Ans. Factoring is the process of breaking down an expression into simpler components that, when multiplied together, produce the original expression. For instance, the expression x² - 9 can be factored into (x - 3)(x + 3). This method is particularly useful for simplifying polynomials, as it can reveal roots and help solve equations more efficiently. Factoring often involves looking for common factors or applying special formulas, such as the difference of squares or trinomial factoring.
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