Integers Test

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Integers Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following numbers will succeed – 5 and – 3, respectively?

A
– 4 and – 2

B
– 6 and – 4

C
– 4 and – 4

D
– 6 and – 2

Solution

The number succeeding – 5 is 1 number greater than – 5.
So, the number succeeding – 5 = – 5 + 1 = – 4
Similarly, the number succeeding – 3 is 1 number greater than – 3.
So, the number succeeding – 3 = – 3 + 1 = – 2
Hence, (1) is the correct option.
Question 2
1 / -0

What is the collection of numbers called if we put whole numbers and negative natural numbers together?

A
Natural numbers

B
Integers

C
Whole numbers

D
Even numbers

Solution

Whole numbers are: 0, 1, 2, 3, 4, 5.....
Negative natural numbers are: ..... - 5, - 4, - 3, - 2, - 1
Collecting them together we get:
..... - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5 .... which are integers.
Hence, collection of whole numbers and negative natural numbers is called integers.
Question 3
1 / -0

Which of the following numbers is the greatest?

A
– 28

B
– 29

C
– 27

D
– 30

Solution

Arranging the numbers in ascending order, we get
– 30 < – 29 < – 28 < – 27
So, – 27 is the greatest among the given numbers.
Question 4
1 / -0

Among the integers that lie between - 9 and - 1, identify the largest integer and the smallest integer, respectively.

A
- 8 and - 2

B
- 9 and - 1

C
- 1 and - 9

D
- 2 and - 8

Solution

The integers that lie between - 9 and - 1, arranged in ascending order are:
- 8, - 7, - 6, - 5, - 4, - 3, - 2
The largest integer among them is - 2.
The smallest integer among them is - 8.
Hence, option (4) is correct.
Question 5
1 / -0

Which is the only positive integer lying between – 18 and 2?

A
No integer

B
1

C
2

D
0

Solution

Numbers between – 18 and 2 in ascending order are:
– 17, – 16, – 15, – 14, – 13, – 12, – 11, – 10, – 9, – 8, – 7, – 6, – 5, – 4, – 3, –2, – 1
The only positive number lying between – 18 and 2 is 1.
Question 6
1 / -0

Which integer on the number line represents 5 less than – 2?

A
+ 3

B
– 3

C
+ 7

D
– 7

Solution

5 less than - 2. Moving 5 steps to the left of - 2

We reach at - 7.
Question 7
1 / -0

What is the sum of – 18, + 6, – 10 and + 12?

A
– 10

B
+ 10

C
– 46

D
+ 46

Solution

Sum of – 18, + 6, – 10 and + 12
= – 18 + 6 – 10 + 12
= (6 + 12) – 18 – 10
= 18 – 28
= – 10
Question 8
1 / -0

What is the value of (39) + (– 46) + (– 10) + (79)?

A
62

B
– 62

C
+ 76

D
– 76

Solution

Value of (39) + (– 46) + (– 10) + (79)
= 39 – 46 – 10 + 79
= (79 + 39) + (– 46 – 10)
= 118 – 56
= 62
Question 9
1 / -0

Which of the following is the result of adding two negative integers?

A
Positive integer

B
Negative integer

C
Zero

D
Sometimes a positive integer and sometimes a negative integer

Solution

On adding two negative integers, we will always get a negative integer.
For example:- – 4 and – 9 are both negative integers.
Add – 4 and – 9.
= – 4 + (– 9)
= – 4 – 9
= – 13
– 13 is a negative integer. Hence, (2) is the correct option.
Question 10
1 / -0

When a positive integer is added to an integer, the resulting integer is

A
sometimes greater than the given integer

B
always less than the given integer

C
the same as the given integer

D
always zero

Solution

Let us go through the answer by taking examples:
Example:
(i) Add 4 to 9 (4 is the positive integer and 9 is the given integer)
= 4 + 9 = 13
13 > 9
(ii) Add 4 to -7 (4 is the positive integer and - 7 is the given integer)
= 4 + (- 7) = 4 - 7 = - 3
- 3 < 4
Thus, we see in the above cases, adding positive integer (4) to both positive and negative integers results in an integer which can be both smaller than and greater than the given number.
So, when a positive integer is added to an integer, the resulting integer is sometimes greater than the given integer. (Not always)
Question 11
1 / -0

What is the additive inverse of 6?

A
6

B
1

C
0

D
– 6

Solution

Additive inverse is a number when added to any number, results in zero.
Every number has a number with same value but opposite sign. This number is additive inverse.
So, additive inverse of 6 is – 6
because: 6 + (– 6) = 6 – 6 = 0
Question 12
1 / -0

What is the sum of – a, – a, + 1, and 0?

A
– 2a + 1

B
1

C
0

D
– a + 1

Solution

Sum of – a, – a, + 1, 0
= – a – a + 1 + 0
= – 2a + 1 or 1 – 2a
Question 13
1 / -0

If we subtract – 18 from – 86, what is the result?

A
– 68

B
+ 68

C
– 104

D
+ 104

Solution

Subtract – 18 from – 86
= – 86 – (– 18)
= – 86 + 18 = – 68
Question 14
1 / -0

What should be added to – 4 to get – 12?

A
– 16

B
+ 16

C
+ 8

D
– 8

Solution

Let the number to be added be x.
– 4 + x = – 12
x = – 12 – (– 4)
= – 12 + 4
x = – 8
Therefore – 8 should be added to – 4 to get – 12
Question 15
1 / -0

Which of the following expressions is true?

A
(– 5) – (– 4) = (– 4) – (– 5)

B
(– 5) – (– 4) > (– 4) – (– 5)

C
(–5) – (– 4) < (– 4) – (– 5)

D
(– 5) – (– 4) = 0 = (– 4) – (– 5)

Solution

(i) (– 5) – (– 4) = (– 4) – (– 5)
– 5 + 4 = (– 4) + 5
– 1 ≠ 1 (False)
(ii) (– 5) – (– 4) > (– 4) – (– 5)
– 5 + 4 > – 4 + 5
– 1 > 1 (False)
(iii) (– 5) – (– 4) < (– 4) – (– 5)
– 1 < 1 (True)
(iv) (– 5) – (– 4) = 0 = (– 4) – (– 5)
– 1 ≠ 0 ≠ 1 (False)

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Integers Test - 4

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Integers Test - 4

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Question 1

– 4 and – 2

– 6 and – 4

– 4 and – 4

– 6 and – 2

Solution

Question 2

Natural numbers

Integers

Whole numbers

Even numbers

Solution

Question 3

– 28

– 29

– 27

– 30

Solution

Question 4

- 8 and - 2

- 9 and - 1

- 1 and - 9

- 2 and - 8

Solution

Question 5

No integer

1

2

0

Solution

Question 6

+ 3

– 3

+ 7

– 7

Solution

Question 7

– 10

+ 10

– 46

+ 46

Solution

Question 8

62

– 62

+ 76

– 76

Solution

Question 9

Positive integer

Negative integer

Zero

Sometimes a positive integer and sometimes a negative integer

Solution

Question 10

sometimes greater than the given integer

always less than the given integer

the same as the given integer

always zero

Solution

Question 11

6

1

0

– 6

Solution

Question 12

– 2a + 1

1

0

– a + 1

Solution