Important Questions Maths Chapter 2 Class 7 Ganit Prakash

Arithmetic Expressions

1. What is an arithmetic expression?

Ans: An arithmetic expression is a combination of numbers and operations like +, –, ×, ÷.
Example: 13 + 2

2. What is the value of the expression 13 + 2?

Ans: The value is 15.

3. How do we compare expressions?

Ans: We compare expressions using symbols like =, <, > based on their values.
Example: 10 + 2 > 7 + 1

4. What is the correct order to evaluate 30 + 5 × 4?

Ans: First multiply 5 × 4, then add 30.
So, 30 + (5 × 4) = 50

5. Why are brackets used in expressions?

Ans: Brackets are used to avoid confusion and show the correct order of operations.

6. Evaluate 100 – (15 + 56).

Ans: 15 + 56 = 71; then 100 – 71 = 29

7. What are terms in an expression?

Ans: Terms are parts of an expression separated by a ‘+’ sign.
In 5 + 6 × 3, terms are 5 and 6 × 3.

8. Is subtraction same as adding the inverse?

Ans: Yes, for example, 83 – 14 = 83 + (–14)

9. Does the order of adding terms affect the value?

Ans: No, due to the commutative and associative properties of addition.

10. Write an expression for cost of 4 dosas at ₹23 each + ₹5 tip.

Ans: 4 × 23 + 5 = ₹97

11. If Raghu has 100 kg rice packed into 2 kg bags and already has 4 bags, write expression for total bags.

Ans: 4 + 100 ÷ 2

12. Identify terms in 5 × (3 + 2) + 78 + 3.

Ans: Terms are: 5 × (3 + 2), 78, and 3.

13. Remove brackets in 200 – (40 + 3).

Ans: 200 – 40 – 3

14. Evaluate (10 + 3) × 98 in two ways.

Ans: 1st: (10 + 3) × 98 = 13 × 98 = 1274
2nd: 10 × 98 + 3 × 98 = 980 + 294 = 1274

15. What is the distributive property?

Ans: a × (b + c) = a × b + a × c

16. Write expression for Lhamo and Norbu buying same items worth ₹43 and ₹24.

Ans: 2 × (43 + 24) = ₹134

17. What is the difference between 5 × (4 + 3) and 5 × 4 + 3?

Ans: 5 × (4 + 3) = 35, while 5 × 4 + 3 = 23. They are not equal.

18. Evaluate using distributive property: 97 × 25

Ans: (100 – 3) × 25 = 100 × 25 – 3 × 25 = 2500 – 75 = 2425

19. Is 73 – 14 + 1 equal to 73 – (14 – 1)?

Ans: No. 73 – 14 + 1 = 60, but 73 – (14 – 1) = 73 – 13 = 60, so in this case they happen to be equal.

20. Fill in the blanks: 3 × (6 + 7) = ___ + ___

Ans: 3 × 6 + 3 × 7 = 18 + 21 = 39