 ### Integers (Class VI)

 Description: Integers Class 6 - 1 Number of Questions: 15 Created by: Palash Sundaram Tags: Integers Ordering the Integers Addition of Integers Without Using Number Line Representation of Numbers on a Number Line
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Arrange the following integers in the descending order:

10, 0, - 20, 3, - 10 and 1

1. 20, 3, 1, 0, - 10 and 10

2. 10, 3, 1, 0, - 10 and - 20

3. 10, 0, - 20, 3, - 10 and 1

• 20, - 10, 0, 1, 3 and 10

Correct Option: B
Explanation:

The correct descending order is: 10, 3, 1, 0, - 10 and - 20.

Arrange the following integers in ascending order:

5, 0, - 3, 1, - 5 and 3

• 5, - 3, 0, 1, 3 and 5
1. 0, 1, 3, - 3, 5 and - 5

2. 1, 3, 5, - 5, - 3 and 0

• 3, - 5, 0, 3, 5 and 1

Correct Option: A
Explanation:

The correct ascending order is: - 5, - 3, 0, 1, 3 and 5.

What are the two integers whose difference is 12 and sum is 14?

1. 10 and 4

2. 11 and 3

3. 12 and 2

4. 13 and 1

Correct Option: D
Explanation:

Let one integer be z. Let the other integer be y. z – y = 12 z + y = 14 By using eleminating method, we get z = 13 and y = 1

Write four integers which are more than - 200 and less than - 140.

• 150, - 160, - 170, - 180
1. 150, 210, 220, - 130

• 130, - 120, - 110, - 100
2. 100, 110, 120, 130

Correct Option: A
Explanation:
• 150, - 160, - 170, - 180 lie between - 140 and - 200.

What would be the sum of 1st five prime numbers?

1. 20

2. 24

3. 28

4. 30

Correct Option: C
Explanation:

Sum of first 5 prime numbers = 2 + 3 + 5 + 7 + 11 = 28

The number line can be used to

1. compare two negative numbers

2. compare two positive numbers

3. compare one positive and one negative number

4. All of the above

5. None of these

Correct Option: D
Explanation:

We can compare negative and positive numbers in all possible ways on a number line.

Adding which two integers would give the same sum as one of the integers?

• 7 and 6
• 6 and 7
• 7 and 0
1. 4 and 5

2. None of these

Correct Option: C
Explanation:

If we look for the sum of - 7 and 0, that will be - 7 + 0 = - 7.

• 7 is equal to one integer out of the two and no other pair of integers gives the same sum as one of the integers.

Arrange the following integers in descending order:

24, 8, 12, 0, - 45 and - 24

• 45, - 24, 0, 8, 12 and 24
1. 24, 8, 12, 0, - 24 and - 45

2. 24, 12, 8, 0, - 24 and - 45

3. 24, - 24, 12, 8, 0 and - 45

4. None of these

Correct Option: C
Explanation:

Arranging in descending order means to write numbers in an order starting from the largest to the smallest. So, the descending order for the given integers is: 24, 12, 8, 0, - 24 and - 45.

Find two integers whose sum is 8 and product is 0.

• 8 and 8
1. 16 and - 8

2. 8 and 0

3. 8 and - 16

4. None of these

Correct Option: C
Explanation:

8 and 0 Sum of 8 and 0 = 8 + 0 = 8 Product of 8 and 0 = 8 x 0 = 0

When 9 is multiplied with its multiplicative inverse, it gives

1. 1

• 9
2. 9

• 1

Correct Option: A
Explanation:

9 x 1/9 = 1

What is the number of integers between - 12 and 7?

1. 15

2. 16

3. 18

4. 20

5. None of these

Correct Option: C
Explanation:

The integers between - 12 and 7 are - 11, - 10, - 9, - 8, - 7, - 6, - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5 and 6. So, the number of integers between - 12 and 7 is 18.

Arrange the following integers in ascending order:

8, 5, - 7, - 12, 0 and - 9

• 12, - 7, - 9, 0, 5 and 8
1. 0, - 12, - 9, - 7, 5 and 8

• 12, - 9, - 7, 0, 5 and 8
2. 8, 5, 0, - 7, - 9 and - 12

3. None of these

Correct Option: C
Explanation:

Arranging in ascending order means to write numbers in an order starting from the smallest to the largest. So, ascending order for the given integers is: - 12, - 9, - 7, 0, 5 and 8.

Which two integers are at an equal distance from 6 on the number line?

• 1 and 14
• 2 and 14
1. 14 and - 14

• 14 and 2
2. None of these

Correct Option: B
Explanation:

On a number line, - 2 is 8 steps behind 6 and 14 is 8 steps ahead of 6. That means both integers are at the same distance from 6 on the number line.

Solve: - 2 + - 1 + 0 x 4 + - 7

• 11
1. 12

2. 10

• 10

Correct Option: D
Explanation:
• 2 + - 1 + 0 x 4 + - 7  = - 2 + (- 1) + (0 x 4) + (- 7) = - 2 - 1 + 0 - 7 = - 10

Write the integer which is six less than the additive inverse of - 10.

• 4
• 16
1. 16

2. 4

Correct Option: D
Explanation:

Additive inverse of - 10 = 10 Six less than 10 is 4.

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