SCERT AP 7th Class Maths Solutions Pdf Chapter 1 Integers Ex 1.1 Textbook Exercise Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 1st Lesson Integers Exercise 1.1

Question 1.

Multiply the following.

(i) 5 × 7

Answer:

5 × 7 = 35

(ii) (-9) × (6) .

Answer:

(-9) × (6)

= -(9 × 6) = – 54

(iii) (9) × (-4)

Answer:

9 × – 4

= – (9 × 4) = – 36

(iv) (8) × (-7)

Answer:

8 × (-7) = – (8 × 7) = – 56

(v) (-124) × (-1)

Answer:

(-124) × (-1) = +(124 × 1) = + 124

(vi) (-12) × (-7)

Answer:

(-12) × (-7) = + (12 × 7) = + 84

(vii) (-63) × (7)

Answer:

(-63) × (7) = -(63 × 7) = – 441

(viii) (7) × (-15)

Answer:

7 × (-15) = – (7 × 15) = – 105

Question 2.

Which is greater?

(i) 2 × (-5) or 3 × (-4)

Answer:

2 × (-5) or 3 × (-4)

– (2 × 5) or – (3 × 4)

– 10 or – 12

– 10 greater than – 12

∴(-10) > (-12)

(ii) (-6) × (-7) or (-8) × 5

Answer:

(-6) × (-7) or (-8) × 5

6 × 7 or -(8 × 5)

42 or – 40

42 greater than – 40

∴ 42 > (-40)

(iii) (- 6) × 10 or (- 3) × (- 21)

Answer:

(-6) × 10 or (- 3) × (-21)

– (6 × 10) or 3 × 21

– 60 or 63

(- 60) less than 63

(or)

63 greater than (-60)

∴ 63 > (- 60)

(iv) 9 × (-11) or 6 × (-16)

Answer:

9 × (-11) or 6 × (-16)

-(9 × 11) or – (6 × 16)

(-99) or (- 96)

(- 99) less than (- 96)

(- 99) < (- 96)

(or)

(- 96) greater than (- 99)

∴ (-96) > (-99)

(v) (-8) × (-5) or (-9) × (-4)

Answer:

(-8) × (-5) or (-9) × (-4) + (8 × 5) or + (9 × 4)

40 or 36

40 greater than 36

∴ 40 > 36

Question 3.

Write the pair of integers whose product will give

(i) A negative integer

Answer:

(ii) A positive integer

Answer:

(iii) Zero

Answer:

Question 4.

A frog is slipping into a well from upper surface at a rate of 3 meters per minute, after 5 minutes what is the position of the frog in the well?

Answer:

No. of meters slipped by frog per minute = 3m = – 3 m

No. of meters slipped by frog per 5 minutes = (-3) × 5

= – (3 × 5)

= – 15 m

That is the frog is 15 m down from the upper surface.

Question 5.

During the summer, the level of water in a pond decreases by 5 inches every week due to evaporation. What is the change in the level of the water over a period of 6 weeks ?

Answer:

Decrease in water level per every week = 5 inches = (- 5)

Decrease in water level per 6 weeks = (-5) × 6 .

= – (5 × 6)

= – 30 inches

Change in the level of the water in the pond per 6 weeks is 30 inches decreased.

Question 6.

A shop keeper earns a profit of ₹ 5 on one note book and loss of ₹ 3 on one pen by selling in the month of July. He sells 1500 books and 1500 pens. Find out what is his profit or loss.

Answer:

Profit on each notebook = ₹5

Profit on 1500 notebooks = 1500 × 5

Total profit on 1500 note books = ₹ 75 007/-

Loss on each pen = ₹3

Which we denoted by – 3.

Loss on 1500 pens = 1500 × -3

= – ₹ 4500

profit > loss

So, he will get profit.

Total profit = 7500 – 4500

= ₹ 3000/-

Question 7.

A cement company earns a profit of ₹ 8 per bag of white cement and a loss of per bag of grey cement by selling.

The company sells 2,000 bags of white cement and 3,000 bags of grey cement in a month. Find out what is its profit or loss.

Answer:

Profit on each white cement bag = ₹ 8

Profit on each white cement bag

= 2000 × 8

= ₹ 16000

Loss on each grey cement bag = ₹ 6

Which we denoted by – 6.

Loss on 3000 grey cement bags = 3000 × – 6

= – ₹ 18000

Loss is more than profit.

So, he will get loss.

∴ Total loss = 16000 + (-18000)

= + 16000 – 18000

= – 2000/-

Question 8.

Fill in the blanks with suitable integer to make the statement true.

(i) (-4) × _________ = – 20

Answer:

(- 4) × 5 = – 20

(- 4) × 5 = – 20

– (4 × 5) = – 20

– 20 = – 20

(ii) __________ × 5 = – 35

Answer:

-7 × 5 = – 35

(-7) × 5 = – 35

– (7 × 5) = – 35

– 35 = – 35

(iii) (-6) × __________ = 48

Answer:

(-6) × (-8) = 48

(-6) × (-8) = 48

6 × 8 = 48

48 = 48

(iv) __________ × (- 9) = 45

Answer:

(-5) × (-9) = 45

(-5) × (-9) = 45

5 × 9 = 45

45 = 45

(v) ___________ × 7 = – 42

Answer:

– (6) × 7) = – 42

– (6) × 7) = – 42

– (6 × 7) = – 42

– 42 = – 42

(vi) 8 × = – 8

Answer:

8 × (-1) = – 8

(8) × (-1) = – 8 – (8 × 1) = – 8

– 8 = – 8