Maths Wiz Solutions Class 7 Chapter 4 Integers
Welcome to NCTB Solutions. Here with this post we are going to help 7th class students for the Solutions of Maths Wiz Class 7 Math Book, Chapter 4, Integers. Here students can easily find step by step solutions of all the problems for Integers, Self Practice 4A, 4B, 4C and 4D 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 4 solutions. Here in this post all the solutions are based on ICSE latest Syllabus.
Integers Self Practice 4A Solution :
Question no – (1)
Solution :
(a) The opposite of 5 km north is 5 km south.
(b) The opposite of 100 metres down is 100 metres up.
(c) The opposite of up 5 floors is 5 floors down.
(d) The opposite of Increase of 10°C is decrease of 10°C.
(e) The opposite of Withdrawal of Rs 500 is deposit of Rs 500.
Question no – (2)
Solution :
(a) A victory by 15 runs
= + 15
(b) A defeat by 3 goals
= – 3
(c) Saving of ₹ 200
= + 200
(d) Spending ₹70
= – 70
(e) 20° below zero
= – 20
(f) 100 m above the sea level
= + 100
Question no – (3)
Solution :
(a) Opposite of 2 is -2
(b) Opposite of -17 is 17
(c) Opposite of 30 is -30
(d) Opposite of -437 is 437
(e) Opposite of 0 is 0
Question no – (4)
Solution :
Given numbers are,
(a) -2
(b) 4
(c) -7
Now on number line :
Question no – (7)
Solution :
(a) All the Integers between -3 and 2 are -2, -1, 0, 1
(c) All the integers between -5 and 3 are -4, -3, -2, -1, 0, 1, 2
(s) All the integers between -15 and -12 are -14, -13
Question no – (8)
Solution :
Given,
-7, -3, 0, 3, 7, -5 and 6 on the number line,
Required number line :
Integers Self Practice 4B Solution :
Question no – (1)
Solution :
(a) 2, 9
Right on the number line = 9
(b) -3, -8
Right on the number line = -3
(c) -6, 5
Right on the number line = 0
(d) -6, 5
Right on the number line = 5
Question no – (2)
Solution :
(a) 7, -7
Smaller integer = -7
(b) 0, -10
Smaller integer = -10
(c) -13, -5
Smaller integer = -13
(d) 327, -492
Smaller integer = -492
Question no – (3)
Solution :
(a) – 4 _ 0
= – 4 < 0
(b) – 3 _ 7
= – 3 < 7
(c) 8 _ – 5
= 8 > – 5
(d) – 8 _ – 5
= – 8 < – 5
(e) – 4 _ – 8
= – 4 > – 8
(f) – 13 _ – 9
= – 13 < – 9
Question no – (4)
Solution :
(a) –23, 15, -15, 0
Least to the greatest = -23, -15, 0, 15
(b) –8, -10, -6, -1, 4
Least to the greatest = -10, -8, -6, –1, 4
Question no – (5)
Solution :
(a) -12, -95, -82, 0, 8, -4
Greatest to the least = 8, 0, -4, -12, -82, -95
(b) -65, 23, -13, 7, -25
Greatest to the least = 23, 7, -13, -25, -65
Question no – (6)
Solution :
(a) | – 5 |
= – (- 5)
= 5
(b) | 8 |
= 8
(c) | 0 |
= 0
(d) | – 20 |
= – (20)
= 20
(e) | – 100 |
= – (- 100)
= 100
Question no – (7)
Solution :
(a) |- 2| + |2|
= – 2 + 2
= 0 …(Simplified)
(b) |- 5| + |- 5|
= 5 + 5
= 10 …(Simplified)
(c) 5 ×|- 3|
= 5 × 3
= 15 …(Simplified)
(d) |- 30| ÷ |- 6|
= 30 ÷ 6
= 5 …(Simplified)
Question no – (8)
Solution :
= No Never,
Because, The absolute value of a number never be negative.
Integers Self Practice 4C Solution :
Question no – (1)
Solution :
(a) 20 + 16
= 36 (positive)
(b) -21 + (-9)
= -21 – 9
= -30 (negative)
(c) 70 + (-22)
= 70 – 22
= 8 (positive)
(d) -100 + 80
= -20 (negative)
(e) -15 + 15
= 0 (Zero)
(f) -4 + (-7) + (-8)
= -4 – 7 – 8
= – 22 (negative)
Question no – (2)
Solution :
(a) Figure – (a)
= 5 + 3
(b) Figure – (b)
= 4 + (- 7)
(c) Figure – (c)
= – 3 + 9
(d) Figure – (d)
= – 4 + (- 7)
(e) Figure – (e)
= – 5 + 5
(f) Figure – (f)
= – 3 + 11 + (- 6)
Question no – (3)
Solution :
(a) 5 more than 2
= Start at 2, move 5 units to the right.
(b) 7 more than – 2
= Start at -2, move 7 units to the right.
(c) 8 less than 3
= Start at 3, move 8 units to the left.
(d) 4 less than – 5
= Start at -5, move 4 units to the left.
Question no – (4)
Solution :
The sum of the given numbers on the number line are as follows
Question no – (5)
Solution :
(a) 7 + 5
= 12
(b) – 5 + (- 5)
= – 10
(c) – 8 + (- 1)
= – 9
(d) 8 + (- 5)
= 3
(e) 10 + (- 4)
= 6
(f) – 9 + 7
= – 2
(g) – 3 + 10
= 7
(h) – 6 + 6
= 0
(i) – 5 + 12 + (- 8)
= – 1
(j) – 3 + (- 7) + (- 4)
= – 14
(k) 14 + 7 + (- 9)
= 12
Question no – (6)
Solution :
(a) -10 + 6 ….. 5 + (-8)
= – 4 < – 3
(b) -18 + 24 ….. -25 + 18
= 7 = 7
(c) -8 (- 17) ….. -9 + (-11)
= – 25 < – 20
(d) -8 + 8 ….. 17 + (-20)
= 0 > – 3
Question no – (7)
Solution :
(a) The additive inverse of 15 is -15.
(b) The additive inverse of -6 is 6.
(c) The additive inverse of -29 is 29
(d) The additive inverse of 0 is 0.
(e) The additive inverse of 38 is -38
Integers Self Practice 4D Solution :
Question no – (1)
Solution :
(a) 9 – 4
= 9 + (- 4)
(b) 7 – (- 3)
= 7 + (3)
(c) 8 – (- 15)
= 8 + (15)
(d) – 7 – 9
= – 7 + (- 9)
(e) -7 – (-4)
= – 7 + (-4)
(f) 20 – 14
= 20 + (-14)
Question no – (2)
Solution :
(a) 15 – 8
= 7
(b) 8 – (- 3)
= 11
(c) 16 – (- 5)
= 21
(d) 12 – 17
= -5
(e) -7 – 4
= -11
(f) – 18 – 6
= -24
(g) 17 – (- 19)
= 36
(h) 20 – 4
= 16
(i) 8 – (-8)
= 16
(j) -7 – (- 27)
= 20
(k) -60 – (-8)
= -52
Question no – (3)
Solution :
(a) -300, -200
According to question,
= (-300) – (-200)
= 100
(b) 270, – 10
According to question,
= 270 – (- 10)
= – 280
(c) 7985, -5
According to question,
= 7985 – (- 5)
= 7990
(d) 0, -2009
According to question,
= 0 – (- 2009)
= – 2009
(e) -275, 0
According to question,
= – 275 – 0
= – 275
(f) -2910, -3920
According to question,
= – 2910 – (- 3920)
= – 1010
Question no – (4)
Solution :
(a) 6 – (- 2) _ 7 – 5
= 6 + 2 _ 7 – 5
= 8 > 2
(b) – 2 – (- 8) _ 7 – (- 3)
= – 2 + 8 __ 7 + 3
= 6 < 10
(c) – 7 + (- 10) __ – 7 – (- 10)
= – 7 = 10 __ – 7 + 10
= – 17 < – 3
(d) (- 15) – (- 15) _ – 15 – 15
= – 15 + 15 +__ – 30
= 0 > – 30
Question no – (5)
Solution :
(a) According to the question,
The sum of two integers = 50
One of the integers = -30
Other integer = ?
∴ Other integers,
= 50 – (30)
= 50 + 30
= 80
Therefore, the other integer will be 80.
(b) According to the question,
The sum of two integers = -567
One of integer = 33
Other integer = ?
∴ Other integers,
= -567 – 33
= -600
Therefore, the other integer will be -600.
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