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Number Line Prime Class 7 Solutions Chapter 2 Integers
Welcome to NCTB Solutions. Here with this post we are going to help 7th class students for the Solutions of Number Line Prime Class 7 Math Book, Chapter 2, Integers. Here students can easily find step by step solutions of all the problems for Integers, Exercise 2A, 2B, 2C and 2D Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 2 solutions. Here in this post all the solutions are based on latest Syllabus.
Integers Exercise 2A all Question Solutions :
Question no – (1)
Solution :
-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4
Question no – (2)
Solution :
| Predecessor :
(Predecessor = -1) (From the original number) |
Successor :
(Successor = +1 ) |
|
| (a) 56 | 55 | 57 |
|
(b) -205 |
-206 | -204 |
|
(c) 13 |
12 |
14 |
|
(d)-56 |
-57 |
-55 |
Question no – (3)
Solution :
Given, -15, -29, -67, 0, 562, 7010
|-15| =15, |-29| =29, |-67| =67, |0| =0, |562| =562, |7010|= 7010
Question no – (4)
Solution :
Question no – (5)
Solution :
(a) 12 – 16 _____ 6 – 16
= 6 > -12
(b) 24 + (-16) ____ -10
= 8 > -10
(c) 7 × 8 _____ 50 – (-6)
= 56 = 56
(d) -115 ____ 105
= -115 < 105
Question no – (6)
Solution :
(a) -9, 4, 5, -4, 0
= -9, -4, 0, 4, 5
(b) 35, -86, -27, 65, -44
= -86, -44, -27, 35, 65
Question no – (7)
Solution :
(a) 74, -73, -48, 34, 107
= 107, 74, 34, -48, -73
(b) 4, -84, 72, -43, 59, 0
= 72, 59, 4, 0, -43, -84
Question no – (8)
Solution :
Solution :
Question no – (9)
Solution :
(a) |-3|
= |-3| = 3
(b) -| -10|
= -|-10| = -10
(c) |-15| – |5|
= |-15| – |5| = 15 – 5 =10
(d) |0| – |5|
= 0 – |5| = -5
(e) 7 – |-4|
= 7 -|-4| = 7-4 = 3
(f) |3| + |-3|
= |3|+ |-3| = 3 + 3 = 6
Integers Exercise 2B all Question Solutions :
Question no – (1)
Solution :
115, -20, -569, 75
Additive inverse –
115 = -115
-20 = 20
-569 = 569
75 = -75
Question no – (2)
Solution :
(a) 21 and -15
21 + (-15)
= 21 -15
= 6
(b) -168 and -656
– 168 + (-656)
= -168 – 656
= – 824
(c) -76 and 162
– 76 + 162
= 162 – 76
= 86
(d) – 56, 102 and – 256
– 56 + 102 + (- 256)
= – 56 + 102 – 256
= – 56 – 154
= – 210
Question no – (3)
Solution :
(a) 3337 from -1425
– 1425 – 3337
= – 4762
(b) -5936 from 8145
8145 – (-5936)
= 8145 + 5936
= 14081
(c) -621 from -990
– 990 – (-621)
= – 990+621
= – 369
(d) 0 from -480
– 480 – 0
= – 480
Question no – (4)
Solution :
Let we should subtracted –x
∴ x + 1545 = 537
X = -1545 + 537
= – 1008
Question no – (5)
Solution :
75 – (-41) = 75 + 41 = 116
then, -41 -(75) = -41 – 75 = -116
∴ No they are not equal
Question no – (6)
Solution :
(a) -7 + 19 + 12 = -7 + 12 + ______
= -7 + 19 + 12 = -7 + 12 + 19
(b) 169105 + ______= 169105
= 169105 + 0 = 169105
(c) 539 + _____= 0
= 539 + (-539) = 0
(d) 74 + _____= -35 + 74
= 74 + (-35) = -35 + 74
Question no – (7)
Solution :
(a) 6, 9
= 6 + 9
= 15
(b) -2, 7
= -2 + 7
= 5
(c) -5, 5
= -5 + 5
= 0
(d) -6, -3
= -6 – 3
= -9
(e) 5, -2, -1
= 5 – 2 – 1
= 2
(f) -3, -1 -2
= -3 -1, -2
= -6
Question no – (8)
Solution :
(a) (-5) -5 – (-15)
(-5) -5 – (-15)
=-5 – 5 + 15
= 5
(b) (-18) + 12 – 15 + 3
(-18) + 12 – 15 + 3
= -18 + 12 – 12
= -18
(c) 30 – [(-12) + 15]
30 – [(-12) + 15]
= 30- [-12 + 15]
=30 – 3
= 27
(d) 15 – [-4 + 3 – (-4)]
15 – [-4 + 3 – (-4)]
= 15 – [4 +3 +4]
=15 – 11
=4
Question no – (9)
Solution :
Temperature of the coldest day – (-8°c) ×2,-16°c
Question no – (10)
Solution :
5-(-2)
=5+2
= 7 more points.
Integers Exercise 2C all Question Solutions :
Question no – (1)
Solution :
(a) (-217) × 15 = ____
(-217) × 15 = – 3255
(b) 0 × -41 = _____
0 × -41 = 0
(c) ____ × 11 = -2651
-241 × = -2651
X × 11 = -2651
X = -2651/11
= -241
(d) (-25) × ____ = -1450
(-25) × 58 = -1450
-25 × x= -1450
X = -1450/25
= 58
(e) (-37750) ÷ 25b = ____
= (-37750) ÷ 25b = -1510
(f) (-621) ÷ _____ = 621
= (-621) ÷ -1 = 621
(g) ___ ÷ 6 = 356
= 2136 ÷ 6 = 356
X ÷ 6 = 356
x/6 = 356
x = 2136
(h) 31857 ÷ ____ = -31857
31857 ÷ (-1) = -31857
Question no – (2)
Solution :
(a) -129 and -68
= (-129) × (-68)
= 8772
(b) 406 and -63
= 406 × (-63)
= -25578
(c) 372 and -85
= 372 × (-85)
= -31620
(d) -510 and -74
Solution :
= (-510) × (-74)
= 37740
Question no – (3)
Solution :
(a) -94832 by 16
= -94832/16
= -5927
(b) -4578 by -14
= -4578/-14
= 327
(c) 7583 by -1
= 7583/ -1
= -7583
(d) – 6196 by 0
= -6196/ 0
= (undefined)
Question no – (4)
Solution :
(a) (-11) × 200 × (-20) × (-1)
= (-11) × 200 × (-20) × (-1)
= 2200 × 20
= – 44000
(b) 120 × (-9) × (-400)
= 120 × (-9) × (-400)
= 120 × 3600
= 432000
(c) (-3) × (-3)
= (-3) × (-3)
= 9
(d) (-9) × (12) × (-1)
(-9) × (12) × (-1)
= (-9) × (-12)
= 108
(e) (-1) × (-1) × (-1) × (-1) × (-1)
(-1) × (-1) × (-1) × (-1) × (-1) = -1
(f) 0 × (-451) × (-134|) × (-30)
0 × (-451) × (-134|) × (-30) = 0
Question no – (5)
Solution :
(a) -27 × -25 × -23 × -21
The resultant integer will be positive
(b) 65 × -83 × 48 × 56
The resultant integer will be negative
(c) -57 × -45 × -71 × 39
The resultant integer will be negative
(d) -21 × -21 × -21 … 20 times
The resultant integer will be positive
Question no – (6)
Solution :
After one hour – (5 × 60) = 300m
Position after 30 min- 300/2 = 150m
It begins from 35m
∴ (1500 – 35)
= 115 m
Therefore, its position will be 115 m after 30 minutes.
Integers Exercise 2D all Question Solutions :
Question no – (1)
Solution:
Given, 15 ÷ 3 + 8 × 4 -9
= 5 + 8 × 4 – 9
= 5 + 32 – 9
= 37 – 9
= 28 …(Simplified)
Question no – (2)
Solution :
Given, – 2 × 6 – 13 + {15 × (21÷3)}
= – 2 × 6 -13 + {15 × 7}
= – 2 × 6 – 13 + 105
= – 12 – 13 + 105
= – 12 + 92
= 80 …(Simplified)
Question no – (3)
Solution :
Given, {(64 ÷ 2) – 32} × 8 – 6
= {32 – 32} × 8 -6
= 0 × 8 – 6
= 0 – 6
= – 6 …(Simplified)
Question no – (4)
Solution :
Given, 156 – 248 ÷ 8 × (-19) -87
= 156 – 31 × (- 19) – 87
= 156 + 589 – 87
= 745 – 87
= 658 …(Simplified)
Question no – (5)
Solution :
Given, 82 – [8 + 9 of (24 – 2 × 12)]
= 82 – [8 + 9 of (24 – 24)]
= 82 – [8 + 9 of 0]
= 82 – 8
= 74 …(Simplified)
Question no – (6)
Solution :
Given, 4482 ÷ 9 – 837 × (- 4) + 2964
= 498 – 837 × (- 4) = 2946
= 498 + 3348 + 2964
= 6792 …(Simplified)
Question no – (7)
Solution :
According to the question,
{513 ÷ 3 × (- 3) + 720} ÷ 3 – (- 1092)
= {171 × (- 3) + 720} ÷ 3 – (- 1092)
= {-513 + 720} ÷ 3 + 1092
= 207 ÷ 3 + 1092
= 69 + 1092
= 1161 …(Simplified)
Question no – (8)
Solution :
12 + 6 ÷ (-9) × 4
= 18 ÷ (-9) × 4
= – 2 × 4
= – 8 …(Simplified)
Question no – (9)
Solution :
As per the question,
[{4 + 2 × 13 – 10 ÷ 2} + (5 + 4) ÷ 3]
= [{4+ 2 × 13 – 5} + 9 ÷ 3]
= [{4 + 26 – 5} + 3]
= [{30 – 5} + 3]
= [25 + 3]
= 28 …(Simplified)
Question no – (10)
Solution :
Given, [2000 ÷ {(90 ÷ 2 + 5) × (2 + 6 × 3)}] × 4
= [2000 ÷ {(45 + 5) × (2 + 18)}] × 4
= [2000 ÷ {50 × 20}] × 4
= [2000 ÷ 1000] × 4
= 2 × 4
= 8 …(Simplified)
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