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601.

Represent the following statements with suitable integer :(i) Sneha deposited ₹ 2000 in her savings account.(ii) A submarine is in the depth of 350 feet in the sea level.(iii) The height of Mount Everest is 8848 m J 3 above the sea level.(iv) Temperature of 14 degrees below 0° C.

Answer»

(i) + 2000 Rupees.

(ii) – 350 feet.

(iii) + 8848 m.

(iv) – 14°C.

602.

Replace the blank with an integer to make it a true statement :________ ÷ (- 9) = 16

Answer»

  x    ÷ (- 9) = 16 

x = 16 × (- 9) 

We know, a × (- b) = – (a × b) 

x = – (16 × 9) 

∴ x = – 144

603.

Add without using number line. (i) 10 + (-3) (ii) 10 + (+16) (iii) (-8) + (+8)

Answer»

i) 10 + (-3) 

10 + (-3) = 7 + 3 + (-3) = 7 + (3 + (-3)) 

= 7 + 3 – 3 = 7 + 0 

∴ 10 + (-3) = +7

ii) -10 + (+16) 

-10 + (+16) 

= -10 + 10 + 6 

= (-10 + 10) + 6

= 0 + 6 

∴ -10 + (+16) = + 6

iii) (-8) + (+ 8) 

-8 + (+8) = -8 + 8 = 0 

∴ -8 + (+8) = 0

604.

Calculate : (- 96) ÷ 16

Answer»

(- a) ÷ b = – a/b

= -96/16 = -6

605.

Which is greater?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)

606.

Fill in the blanks to make the statement true. (– 25) × 30 = – 30 × _______.

Answer»

25

(– 25) × 30 = – 30 × 25.

607.

–16 ÷ [8 ÷ (–2)] is equal to (a) –1 (b) 1 (c) 4 (d) –4

Answer»

The correct option is (c) 4.

–16 ÷ [8 ÷ (–2)]

= (-16) ÷ (-4)

= 4

608.

[(– 10) × (+ 9)] + ( – 10) is equal to(a) 100 (b) –100 (c) – 80 (d) 80

Answer»

The correct option is (b) –100.

[(– 10) × (+ 9)] + ( – 10)

= (-10 x 9) - 10

= - 90 - 10

= -100

609.

Because of Covid-19 a company lockdown for 6 months and got loss of ₹1,32,000 in the year 2020. Find the average loss of each month.

Answer»

Since, company got loss of ₹1,32,000 in the year 2020.

Total no. of months in year 2020 is 12.

∵ Average loss of each month =  \(₹\left(\frac{132000}{12}\right) = ₹11000\) 

Given loss of 6 months = ₹ 1,32,000 

Average loss of each month = 1,32,000 ÷ 6 

Average loss of each month = ₹ 22,000

610.

Bhargavi lost 5700 calories in the month of June using yoga. If the calory loss is uniform, calculate the loss of calories per day ?

Answer»

Given number of calories Bhargavi lost in the month of June 

= 5700 calories 

June month has 30 days. 

So, number of calories lost in 30 days = 5700 

Number of calories lost in 1 day = 5700 ÷ 30 

Number of calories lost per day = 190 Calories.

611.

State whether the statements are True or False.(– 19) × (– 11) = 19 × 11

Answer»

(– 19) × (– 11) = 19 × 11

True

612.

Fill in the blanks to make the statements true. (–157) × (–19) + 157 = ___________

Answer»

(–157) × (–19) + 157 = 3140

613.

Observe the following patterns and fill in the blanks to make the statements true:(a) – 5 × 4 = – 20– 5 × 3 = – 15 = –20 – ( – 5)– 5 × 2 = _______ = – 15 – ( –5)– 5 × 1 = _______ = _______– 5 × 0 = 0 = _______– 5 × – 1 = 5 = _______– 5 × – 2 = _______ = _______(b) 7 × 4 = 287 × 3 = _______ = 28 – 77 × 2 = __ __ = _______– 77 × 1 = 7 = _______ – 77 × 0 = _______ = _______ –________7 × – 1 = –7 = _______ – _______7 × – 2 = _______ = _______ – _______7 × – 3 _______ = _______ – ________

Answer»

Observe the following patterns and fill in the blanks to make the statements true:

(a) – 5 × 4 = – 20

– 5 × 3 = – 15 = –20 – ( – 5)

– 5 × 2 = -10 = – 15 – ( –5)

– 5 × 1 = -5 = -10-(-5)

– 5 × 0 = 0 = -5-(-5)

– 5 × – 1 = 5 = 0-(-5)

– 5 × – 2 = 10 = 5-(-5)

(b) 7 × 4 = 28

7 × 3 = 21= 28 – 7

7 × 2 = 14 = 21 – 7

7 × 1 = 7 = 14 – 7

7 × 0 = 0 =77

7 × – 1 = –7 = 07

7 × – 2 =-14= -77

7 × – 3 = -21 = -14 - 7

614.

Fill in the blanks to make the statements true.___________× ( – 1) = – 35

Answer»

35× ( – 1) = – 35

615.

Fill in the blanks to make the statements true.___________ × ( – 1) = 47

Answer»

-47× ( – 1) = 47

616.

Write all the integers between the given pairs (write them in the increasing order.) (a) `0 and -7 ` (b) `-4 and 4` (c) `-8 and -15` (d) `-30 and -23` 2)WRITE 4 integers greater than -20 and 4 integers less than -10

Answer» (a) `-6,-5,-4,-3,-2,-1`
(b) `-3,-2,-1,0,1,2,3`
(c) `-14,-13,-12,-11,-10,-9`
(d) `-29,-28,-27,-26,-25,-24`
answer
617.

The successor of the predecessor of –50 is (A) –48 (B) –49 (C) –50 (D) –51

Answer»

The correct option is (C) -50.

618.

The successor of the predecessor of –50 is(A) –48 (B) –49 (C) –50 (D) –51

Answer»

(c) – 50

The successor of a whole number is the number obtained by adding 1 to it.

To find the predecessor of a number, subtract one from the given number.

So, predecessor of – 50 = – 50 – 1 = – 51

Then, successor of – 51 = – 51 + 1 = 50