**Test Your Skill**

**Exercise 1**. Arrange the following integers in the ascending order: –2, 1, 0, –3, +4, –5.

**Exercise 2**. Arrange the following integers in the descending order: –3, 0, –1, –4, –3, –6.

**Exercise 3**. Calculate: 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9 – 10

**Exercise 4**. Observe the following: 1 + 2 – 3 + 4 + 5 – 6 – 7 + 8 – 9 = –5. Change one – sign as + sign to get the sum 9.

**Exercise 5**. The sum of two integers is 47. If one of the integers is – 24, find the other.

**Exercise 6**. Write the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in this order and insert ‘+ ‘or ‘–’ between them to get the result (**a**) 5 (**b**) –3 (**c**) 3.

**Exercise 7**. Write two integers whose sum is less than both the integers.

**Exercise 8**. Write two distinct integers whose sum is equal to one of the integers.

**Exercise 9**. The sum of two integers is 30. If one of the integers is –42, then find the other.

**Exercise 10**. Sum of two integers is –80. If one of the integers is –90, then find the other.

**Exercise 11**. Write the opposite of each of the following:

- (
**a**) Increase in class strength - (
**b**) Going north - (
**c**) A loss of Rs. 1000 - (
**d**) Decrease in size - (
**e**) Failure - (
**f**) Profit of Rs.10 - (
**g**) 1000 A.D. - (
**h**) Rise in water level - (
**i**) 60 km south - (
**j**) 10 m above the danger mark of river Ganga - (
**k**) 20 m below the danger mark of the river Brahmaputra - (
**l**) Winning by a margin of 2000 votes - (
**m**) Depositing Rs.100 in the Bank account - (
**n**) 20°C rise in temperature.

**Exercise 12**. Represent the following using integers with proper sign:

- (
**a**) 25° above zero - (
**b**) 5° below zero - (
**c**) 300m above the sea level - (
**d**) 250m below the sea level - (
**e**) A profit of Rs. 2000 - (
**f**) 3 km above sea level - (
**g**) A loss of Rs. 500

**Exercise 13**. If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, write the following using integers with the appropriate signs:

- (
**a**) 200 m above sea level - (
**b**) 100 m below sea level - (
**c**) 10 m above sea level - (
**d**) sea level

**Exercise 14**. How many integers are between:

- (
**i**) – 4 and 3 - (
**ii**) 5 and 12 - (
**iii**) –9 and –2

**Exercise 15**. Find the following products using number line:

- (
**a**) 4 × (– 8) - (
**b**) 8 × (–2) - (
**c**) 3 × (–7) - (
**d**) 10 × (–1)

**Exercise 16**. Compute each of the following:

- (
**a**) 30 + (–25) + (–10) - (
**b**) (–20) + (–5) - (
**c**) 70 + (–20) + (–30) - (
**d**) –50 + (–60) + 50 - (
**e**) 1 + (–2) + (– 3) + (– 4) - (
**f**) 0 + (– 5) + (– 2) - (
**g**) 0 – (–6) – (+6) - (
**h**) 0 – 2 – (–2)

**Exercise 17**. Evaluate each of the following:

- (
**a**) (–30) ÷ 10 - (
**b**) 50 ÷ (–5) - (
**c**) (–36) ÷ (–9) - (
**d**) (– 49) ÷ (49) - (
**e**) 13 ÷ [(–2) + 1] - (
**f**) 0 ÷ (–12) - (
**g**) (–31) ÷ [(–30) + (–1)] - (
**h**) [(–36) ÷ 12] ÷ 3 - (
**i**) [(– 6) + 5)] ÷ [(–2) + 1]

**Exercise 18**. Find each of the following products:

- (
**i**) (–18) × (–10) × 9 - (
**ii**) (–20) × (–2) × (–5) × 7 - (
**iii**) (–1) × (–5) × (– 4) × (– 6)

**Exercise 19**. Find the value of the following expressions, using suitable properties:

- (
**a**) 7 × (50 – 2) - (
**b**) (– 41) × 102 - (
**c**) (–17) × (–29) - (
**d**) 8 × 53 × (–125) - (
**e**) 15 × (–25) × (– 4) × (–10) - (
**f**) 26 × (– 48) + (– 48) × (–36) - (
**g**) 625 × (–35) + (– 625) × 65 - (
**h**) (–57) × (–19) + 57 - (
**i**) 81265 × 169 – 81265 × 69 - (
**j**) 3845 × 5 × 782 + 769 × 25 × 218

**Exercise 20**. Verify the following results:

- (
**a**) 18 × [7 + (–3)] = [18 × 7] + [18 × (–3)] - (
**b**) (–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)] - (
**c**) 10 × [(6 + (–2)] = 10 × 6 + 10 × (–2) - (
**d**) 11 × (6 – (–2)] = 11 × 6 – 11 × (–2) - (
**e**) (–15) × [(–7) + (–1)] = (–15) × (–7) + (–15) × (–1) - (
**f**) (–16) × [(–7) – (–1)] = (–16) × (–7) – (–16) × (–1) - (
**g**) (–30) × [13 + (–3)] = [(–30) × 13] + [(–30) × (–3)]

Excellent post as usual sir.

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Thank you so much.

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The post become most attractive due to additional exercise…or skill development…super sir!!

Thank you

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Thank you so much.

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Sir , I am from class 8

Maths was really easy

I solved all in first attempt

Plz upload more interesting maths for us , as I have shared the post with my friends

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Thank you so much. More things will come up shortly.

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