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Published on: 05/09/2019
Integers
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Questions + Answers key
Take MCQ Mathematics Test
1.
Write opposites of the following.
326 BC
2.
Compare the following pairs of numbers using > or <.
\(5\ \Box\ -5\)
3.
Write all the integers between -15 and -5.
4.
Represent -6 and +4(4) on the number line.
5.
Complete each of the following:
(a) 30 + (-50) + (-20)
(b) 40 + (-10) + (-15)
(c) 45 - (-5) + 10
(d) 60 - 10 + 5 = 5 - (-5)
(e)16 + (-13) + (-10)
(f) 0 + 5 - (-6) + (-7)
6.
Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points.
(a) If point D is + 8, then which point is -8?
(b) Is point G, a negative integer or a positive integer?
(c) Write integers for points B and E.
(d) Which point marked on this number line has the least value?
(e) Arrange all the points in decreasing order of value?
7.
Write the following numbers (integers) in decreasing order with using inequality sign' >' .
-99,98,-97,97,4,1,90
8.
Write the following numbers (integers) in decreasing order with using inequality sign' >' .
8, 6, -136, 32, -80,120,1
9.
By using '+' or '-' sign indicate the following.
1 km below the sea level.
10.
By using '+' or '-' sign indicate the following
2 km above the Earth surface.
11.
(-11) + (-3) + (-1) = ________
12.
6 - (- 89) = (...)
13.
25+ (... ) = 20
14.
99 - ( ... ) = 105
15.
( ... ) -(-7) = 10
16.
The sum of any two positive integers is greater than both the integers.
17.
The sum of any two negative integers is always smaller than both the integers.
18.
The sum of any two negative integers is always greater than both the integers.
19.
Every positive integer is greater than every negative integer.
20.
|29-9|=|29|+|-9|
21.
Which of the following shows the maximum rise in temperature?
0°C to 10°C
-4°C to 8°C
-15°C to -8°C
-70C to 0°C
22.
When a negative integer is subtracted from another negative integer, the sign of the result
is always negative
is always positive
is never negative
depends on the numerical value of the integers
23.
Amulya and Amar visited two places A and B, respectively in Kashmir and recorded the minimum temperatures on a particular day as - 4° C at A and -1° Cat B. Which of the following statements is true?
A is cooler than B
B is cooler than A
There is a difference of 2° C in the temperature
The temperature at A is 4°C higher than that at B
24.
The predecessor of the integer -1 is
0
0
-2
1
25.
Every integer less than 0 has the sign
+
-
\(\times\)
÷
26.
Absolute value of sum of predecessor and successor of -1
27.
The smallest integer greater than every negative integer
28.
The smallest positive integer
29.
The greatest negative integer
30.
The additive inverse of + 2
1.
Opposite of 326 BC is 326 AD.
2.
According to the ordering of the integers,
We know that, 5 is to right of - 5. So, \(5\ \boxed {>} -5\)
3.
Integers between -15 and -5 are -14, -13:-12, -11, -10, - 9, - 8, - 7, - 6.
4.
To represent -6 on the number line, we move 6 points to the left of zero.
5.
According to the rules of addition and subtraction of integers,
(a) 30 + (-50) + (-20) = 30 -(50 + 20) = 30 -70 = -40
(b) 40 + (-10) + (-15) = 40 -(10 + 15) = 40 - 25 = 15
(c) 45 - (-5) + 10 = 45 + 5 + 10 = 60
(d) 60 - 10 + 5 - (-5 ) = 60 + 5 + 5 - 10 = 70 -10 = 60
(e) 16 + (-13) + (-10) =16 -(13 + 10) =16 - 23 = -7
(f) 0 + 5 - (-6) + (-7) = 0 + 5 + 6 - 7 ⇒ 11 - 7 = 4
6.
(a) Now, from the figure, it is clear that +8 is on point D, then forgetting - 8, we should move below to O. After moving 8 steps below 0, we reach at point F So, point F represents - 8.
(b) We know that, points lie above zero are positive integers and lie below zero are negative integers. Here, we see that point G lies below zero. So, G is a negative integer.
(c) On the given number line, point B lies above zero and point E lies below zero. So, it is clear that point B is a positive integer and point E is a negative integer. Now, counting from 0, the distance of B = +4 units, because it is on right of zero and counting from 0, the distance of E = -10 units because it is on left of zero.
∴ Integer B = + 4 and integer E = -10
(d) Here, we see that the distance of point E is far from 0 and below from 0 and we know that on vertical number line below from 0 the value of integers are negative. Hence, point E has the least value.
(e) We know that, on a number line the number decreases as we move to left. Here, vertical number line is given to us, so the number decreases as we move to down. So, decreasing order of values of all points is given here. D, C, B, A, O, H, G, F, E
7.
98 > 97 > 90 > 4 > 1 > - 97 > - 99
8.
120 > 32 > 8 > 6 > 1 > - 80> - 136
9.
-1 km
10.
+ 2 km
11.
(-11) + (-3) + (-1) = - (11 + 3 + 1) = -15
12.
( )
95
13.
( )
-5
14.
( )
-6
15.
( )
3
16.
(a)
17.
(a)
18.
(b)
19.
(a)
20.
(b)
21.
0°C to 10°C = +10° C -4° C to 8° C = +12°C (max.)
-15°C to -8°C = +7°C -7°C to 0°C = +7°C
22.
Suppose, we take two negative integers -2 and -3.
Now, -2 - (-3) = -2 + 3 = 1 and -3 - (-2) = -3 + 2 = -1
So, the sign of the result dedpends on the numerical value of the integers.
23.
Temperature at A = -4° C
Temperature at B = -1° C
We know that, -4 < -1 So, A is cooler than B.
24.
The predecessor of -1 = -1 - 1 = -2
\(\therefore\) The required predecessor is -2.
25.
We know that, all the negative integers are less than zero and they have '-' sign.
26.
( )
2
27.
( )
0
28.
( )
1
29.
( )
-1
30.
( )
-2
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