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Published on: 28/08/2019
Integers
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Questions + Answers key
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1.
(-8)-(-6)<(-6)+6
2.
Smallest negative integer is -1.
3.
-100 is to the right of -50 on a number line.
4.
-26 is greater than -25.
5.
-8 is to the right of -10 on a number line.
6.
(-8)+______ =0
7.
(-25)- (-42) ____ (-42) - (-25)
8.
45- (-11)____57+ (-4)
9.
(-21)- (-10)____(-31)+ (-11)
10.
(-3)+ (-6)____(-3)- (-6)
11.
Number of whole numbers lying between -7 and 6 is
2
4
5
6
12.
Number of integers lying between -2 and 2 is
3
4
2
1
13.
The predecessor of the integer -1 is
0
0
-2
1
14.
The integer '5 units to the right of 0 on the number line' is
+ 5
-5
+4
-4
15.
Every integer less than 0 has the sign
+
-
\(\times\)
÷
16.
Absolute value of sum of predecessor and successor of -1
17.
The smallest integer greater than every negative integer
18.
The smallest positive integer
19.
The greatest negative integer
20.
The additive inverse of + 2
1.
(a)
2.
(b)
3.
(b)
4.
(b)
5.
(a)
6.
We have, (-8) + ______ = 0
(-8) + 8 = 0 [ \(\because\) additive inverse of -8 is 8 ]
7.
LHS = (-25) - (-42) = -25 + (additive inverse of -42)
= -25 + 42 = 17
RHS = (-42) - (-25) = -42 + (additive inverse of -25)
= -42 + 25 = -17
Here, 17 is a positive integer and -17 is a negative integer.
\(\therefore\) 17 > -17
8.
LHS = 45 - (-11) = 45 + 11 [ \(\because\) additive inverse of -11 is 11 ]
= 56
RHS = 57 + (-4) = 53 + 4 + (-4) = 53 + 0 = 53
Here, both are posiive integers, but 56 is to the right of 53.
\(\therefore\) 56 > 53
9.
LHS = (-21) - (-10) = -21 + (Additive inverse of -10)
= -21 + 10 = -11
RHS = (-31) + (-11) = -42
Here, both are negative inegers, but -42 is to the left of -11
\(\therefore\) -11 > -42
10.
LHS = (-3) + (-6) = -9
RHS = (-3) + (-6) = (-3) + (Additive inverse of -6)
= -3 + 6 = 3
Since, -9 is a negative integer and 3 is a positive integer.
\(\therefore\) -9 < 3.
11.
The integers lying between -7 and 6 are -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5. Whole number are 0, 1, 2, 3, 4 and 5.
\(\therefore\) The number of whole numbers = 6
12.
The integers lying between -2 and 2 are -1, 0 and 1. So, there are 3 integers.
13.
The predecessor of -1 = -1 - 1 = -2
\(\therefore\) The required predecessor is -2.
14.
5 units to the right of 0 is +5.

15.
We know that, all the negative integers are less than zero and they have '-' sign.
16.
( )
2
17.
( )
0
18.
( )
1
19.
( )
-1
20.
( )
-2
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