SCERT AP 7th Class Maths Solutions Pdf Chapter 1 Integers Ex 1.4 Textbook Exercise Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 1st Lesson Integers Exercise 1.4

Question 1.

Simplify the following.

(i) 6 × 9 – 6 ÷ 3

Answer:

6 × 9 – 6 ÷ 3 (Division)

= 6 × 9 – 2 (Multiplication)

= 54 – 2 (Subtraction)

= 52

(ii) 12 ÷ 4 – 8 + 5

Answer:

12 ÷ 4 – 4 – 8 + 5 (Division)

= 3 – 8 + 5

= 3 + 5 – 8 (Addition)

= 8 – 8 (Subtraction)

= 0

(iii) 80 – 56 ÷ 8 × 9

Answer:

80 – 56 ÷ 8 × 9 (Division)

= 80 – 7 × 9 (Multiplication)

= 80 – 63 (Subtraction)

= 17

(iv) 15 ÷ 5 + 17-30

Answer:

15 ÷ 5 + 17 – 30 (Division)

= 3 + 17 – 30 (Addition)

= 20 – 30 (Subtraction)

= – 10

(v) 8 + 8 – 8 × 8 ÷ 8

Answer:

8 + 8 – 8 × 8 ÷ 8 (Division)

= 8 + 8 – 8 × 1 (Multiplication)

= 8 + 8 – 8 (Addition)

= 16 – 8 (Subtraction)

= 8

Question 2.

Simplify the following.

(i) 8 × 3 – \(\overline{13-7}\)

Answer:

8 × 3 – \(\overline{13-7}\) (Vinculum)

= 8 × 3 – 6 (Multiplication)

= 24 – 6 (Subtraction)

= 18

(ii) {12 – \(\overline{14-8}\) + 7} – 15

Answer:

{12 – \(\overline{14-8}\) + 7} – 15 (Vinculum)

= {12 – 6 + 7} – 15

= {12 + 7 – 6} – 15 (Curly bracket)

= {19 – 6} – 15

= 13 – 15 (Subtraction)

= – 2

(iii) 16 – (4 + 18 ÷ 6 – \(\overline{7-5}\)) × 5

Answer:

16 – (4 + 18 ÷ 6 – \(\overline{7-5}\)) × 5 (Vinculum)

= 16 – (4 + 18 + 6 – 2) × 5 (Division)

= 16 -(4 + 3 – 2) × 5 (Simple bracket)

= 16 – (7 – 2) × 5

= 16 – 5 × 5 (Multiplication)

= 16 – 25 (Subtraction)

= – 9

(iv) {6 of 145 ÷ (3 + 2)} ÷ 2 – 4 of 20

Answer:

{6 of 145 ÷ (3 + 2)} ÷ 2 -4 of 20 (Simple Bracket)

= {6 of 145 ÷ 5} ÷ 2 – 4 of 20 (Of)

= {870 ÷ 5} ÷ 2 – 80 (Curly bracket, Division)

= 174 ÷ 2 – 80 (Division)

= 87 – 80 (Subtraction)

= 7

(v) 25 + [14 – 18 + {12 of 5 – (- 4 + 14)}]

Answer:

Given

25 + [14 – 18 + {12 of 5 – (- 4 + 14)}]

Applying BODMAS Rule

= 25 + [14 – 18 + {12 of 5 – (10)}]

[Removing inner most in bracket]

= 25 + [14 – 18 + {12 × 5 – 10}] [Replacing of]

= 25 + [14- 18 + {60 – 10}]

= 25 + [- 4 + 50]

= 25 – 4 + 50

= 75 – 4 = 71

Question 3.

Identify the true statements.

(i) 48 ÷ 6 – 4 = 24

Answer:

48 ÷ 6 – 4 = 24 (Division)

8 – 4 = 24 (Subtraction)

4 ≠ 24

It is a false statement.

(ii) – 18 + 12 + 3 = – 14

Answer:

– 18 + 12 ÷ 3 = – 14 (Division)

– 18 + 4 = – 14 (Subtraction)

– 14 = – 14

It is a true statement.

(iii) – 11 + 3 × 7 = – 56

Answer:

– 11 + 3 × 7 = – 56 (Multiplication)

– 11 + 21 = – 56 (Subtraction)

10 ≠ – 56

It is a false statement.

(iv) 2020 ÷ 20 – 100 = 1

Answer:

2020 ÷ 20 – 100 = 1 (Division)

101 – 100 = 1 (Subtraction)

1 = 1

It is a true statement.

Question 4.

Fill the blanks with +, -, ×, ÷ to make the statement as true.

(i) 9 __ 3 __ 6 = – 3

Answer:

9 ÷ 3 – 6 = – 3 (Division)

3 – 6 = – 3 (Subtraction)

– 3 = – 3

(ii) – 6 __ 12 __ 6 = – 4

Answer:

– 6 + 12 ÷ 6 = – 4 (Division)

– 6 + 2 = – 4 (Subtraction)

– 4 = – 4

(iii) – 15 __ 3 __ 6 = – 30

Answer:

– 15 ÷ 3 × 6 = – 30 (Division)

– 5 × 6 = – 30 (Multiplication)

– 30 = – 30