myhelper: Integers

Showing posts with label Integers. Show all posts

SChand Smart Mathematics Class 7 Chapter 1 Integers Exercise 1.1

Exercise 1.1

Question 1

Find in the blanks :

(a) 1+(-1)+(-1)+1+1+(-1)

Sol :

=1-1-1+1+1-1=3-3=0

(b) (-60)+(-11)+(-9)+100

Sol :

=-60-11-9+100

=100-80=20

(c) The additive inverse of (3-8)-(-4) is

Sol :

=-5+4=-1 ∵additive inverse=+1

(d) The sum of an integer and its additive inverse is always zero

Question 2

Compare the following integers using > , < or =

(a) 7 __ -6

Sol : >

(b) -2 __ 0

Sol : <

(c) |-8-3| __ -4

Sol :

|-8-3| __ -4

|-11| __ -4

11 > -4

(d) -19 __ |-20-1|

Sol :

-19 __ |-21|

-19 > 21

Question 3

Arrange the following integers in ascending order.

(a) -8,7,-5,13,0,4

Sol :

= -8,-5,0,4,7,13

(b) -13 , 25 , 7 , 15 , 1 , -7

Sol :

= -13 , -7 , 1 , 7, 15 , 25

Question 4

(a) -15-(-40)

Sol :

-15+40=25

(b) 136+(-127)

Sol :

=136-127=9

(c) 19-(-5)+17+0

Sol :

=36+5=41

(e) (-50)+(-150)+200

Sol :

=-50-150+200

=-200+200=0

Question 5

Verify a-(-b)=a+b far the following values of a and b

(a) a=3 , b=-5

⇒3-(-(-5))=3-(5)

=3-5=-2

a+b=3+(-5)=3-5=-2

(b) a=18 , b=25

a-(-b)=18-(-25)

=18+25=43

a+b=18+25=43

Question 6

Subtract the sum of -110 and 235 from the sum of 103 and -117

Sol :

-110+235=125

103+(-117)=103-117=-14

-14-125=-139

Question 7

Write True (T) or false (F)

(a) Additive inverse of a positive integer is always negative. (T)

(b) The sum of two integers is always positive. (F)

(c) 0 is a positive integer. (F)

(d) The sum of four different integers can never be zero. (F)

(e) -1 is the greatest negative integers. (T)

Question 8

Two cyclists start from the same point on a mountain. One travels 1200 m downward the mountain in 20 minutes, and the other travels 350 m upward the mountain in the same time. How far they from each other after 20 minutes?

Sol :

=1200+350=1550 m

Question 9

The sum of two integers is -51. If one of the integers is 14, find the other integer.

Sol :

Let the other integer =x

∵x+14=-51

x=-51-14=-65

Question 10

SChand New Learning Composite Mathematics Class 7 Chapter 1 Integers Exercise 1F

Exercise 1F

Question 1

A submarine submerged at a depth of -15 m, dives 20m more. What is the new depth of the submarine.

Sol :

Question 2

The temperature was -3°C in the morning and rose by 10°C by the non. What was the temperature at the noon?

Sol :

Question 3

The day time temperature on Mercury can reach 430°C. The night time temperature can drop to -180°C how much can the temperature change during one day?

Sol :

Question 4

The lowest point of the Japanese trench in Pacific Ocean -10372 m. The lowest point of the Puerto Rico trench in the Atlantic Ocean is 1172 m higher . What is the depth of the Puerto Rico trench?

Sol :

Question 5

A submarine at -250 m dives to a depth of 6 times its initial depth. To what depth does the submarine dive?

Sol :

Question 6

The Temperature at 12 noon was 10°C above zero. If it decreases at the rate of 2°C/h until midnight at what time would be the temperature at midnight?

Sol :

Question 7

A multi-storey building has 25 floor above the ground level, each of height 5 m. It also has 3 floor in the basement each of height 5m. A lift in the building moves at the rate of 1m/s. If a man start from 50 m above the ground how long will it take to him to reach the second floor of the basement?

Sol :

Question 8

Ar a target shooting star in a fair , for every chance a person got he was paid 15 if he hit the target, and would have to pay 5 to the store keeper for every shot he missed how much money did Manish make if his shot a total of 25 times and missed 5 times?

Sol :

Question 9

A person earned 400 per day and out of this he is spent 225 per day. Calculate his savings for the month of June.

Sol :

SChand New Learning Composite Mathematics Class 7 Chapter 1 Integers Exercise 1E

Exercise 1E

Question 1

Verify and name the property used.

(a) 18×(-15)=(-15)×18

(b) 15×[3×(-12)]=(15×3)×-12

(d) -12×[(-7)+5]=(-12)×(-7)+(-12)×5

Sol :

Question 2

Fill in the blanks :

(a) 28×__=28

(b) -16×__=16

(d) 0÷63=__

(e) -95÷__=-1

(f) -50×__=50

Question 3

Evaluate by using suitable properties:

(a) 37×(-58)+(-58)×(-27)

(b) -45×(103)

(d) 19×(-25)×(-4)×(-8)

(e) (-16)×(-39)

(f) (-68)×(-19)+68

SChand New Learning Composite Mathematics Class 7 Chapter 1 Integers Exercise 1D

Exercise 1D

Question 1

Determine whether each quotient is positive or negative.

(a) 18÷9

(b) -32÷9

(d) -65÷(-13)

(e) -62÷7

(f) 28÷(-7)

(g) -56÷(-8)

(h) -91÷(-7)

Sol :

Question 2

Divide and find each quotient :

(a) 38÷2

(b) -6÷3

(d) 36÷-4

(e) 49÷(-7)

(f) -70÷14

(g) -100÷10

(h) 80÷(-16)

Sol :

Question 3

Divide and find each quotient

(a) -8÷(-4)

(b) -63÷(-9)

(d) -52÷(-13)

(e) -27÷3

(f) 84÷(-14)

(g) -126÷(-18)

(h) -400÷(-16)

Question 4

Evaluate :

(a) 10÷(-40)÷8

(b) -7×15÷(-5)

(d) 20÷(7)×8÷(-2)

SChand New Learning Composite Mathematics Class 7 Chapter 1 Integers Exercise 1C

Exercise 1C

Question 1

Determine whether the product is positive or negative

(a) 2×5

(b) -2×5

(d) -2×-5

(e) -25×-16

(f) -80×14

(g) -803×-17

(h) 38×(-11)

Question 2

Find each product

(a) 8×5

(b) 6×(-7)

(d) -9×10

(e) 9×(-8)

(f) 4×(-15)

(g) -23×5

(h) -12×7

Question 3

(a) -7×-8

(b) -9×-10

(d) -19×5

(e) -12×-12

(f) 23×-30

(g) -16×-12

(h) -50×-50

Question 4

(a) 2×5×6

(b) 8×-6×-7

(d) -4×-6×-10

(e) -5×4×-9

(f) -2×3×-4×-5

(g) -1×-2×3×-4

(h) -1×-1×-1×-1

SChand New Learning Composite Mathematics Class 7 Chapter 1 Integers Exercise 1B

Exercise 1B

Fill in the blanks and name the property used

OPEN IN YOUTUBE

Question 1

5+(-3)=(-3)+__

Sol :

OPEN IN YOUTUBE

Question 2

37+0=__

Sol :

OPEN IN YOUTUBE

Question 3

(-18)+0=__

Sol :

OPEN IN YOUTUBE

Question 4

-25+__=0

Sol :

OPEN IN YOUTUBE

Question 5

0+__=-68

Sol :

OPEN IN YOUTUBE

Question 6

27-__=27

Sol :

OPEN IN YOUTUBE

Question 7

24+[(-15+2)]=[24+__]+2

Sol :

OPEN IN YOUTUBE

Question 8

(59+11)+(-30)=__+[11+(-30)]

Sol :

OPEN IN YOUTUBE

Question 9

-9+[17+(-4)]=(-9+17)+__

Sol :

OPEN IN YOUTUBE

Question 10

Predecessor of -12 is __

Sol :

SChand New Learning Composite Mathematics Class 7 Chapter 1 Integers Exercise 1A

Exercise 1A

Question 1

Write each number as an integer in the following situations.

(a) Profit of ₹ 17,000 in the first year and a loss of ₹ 5,000 in the second year.

Sol :

Profit=+17000

Loss=-5000

(b) Withdrawal of ₹ 800 from the bank

Sol :

=-800

(c) 5 degrees above zero degree

Sol :

=+5

(d) 2000 m above sea level

Sol :

=+2000

(e) 500 m below sea level

Sol :

=-500 m

(f) Increase in weight by 5 kg

Sol :

=+5 kg

(g) Decrease in weight by 2 kg

Sol :

= -2 kg

Question 2

Graph each integer and its opposite on a number line

(a) 7

Sol :

Opposite=-7

(b) -5

Sol :

Opposite=+5

(c) -1

Sol :

Opposite=+1

(d) 4

Sol :

Opposite=-4

(e) -8

Sol :

Opposite=+8

Question 3

Compare the integers. Use > or < .

(a) -10 __ -15

(b) -29 __ -19

(d) 7 __ -7

(e) -8700 __ -8000

Sol :

Question 4

Use a number line to order the integers from the least to the greatest.

(a) -4 , 3 , -6 , -7 , 6

Sol :

(b) -8 , -10 , -3 , 0 , -6

Sol :

Question 5

Write the absolute value of each

(a) |-27|

Sol :

(b) |18|

Sol :

(c) |-509|

Sol :

509

(d) |306|

Sol :

306

Question 6

Compare , write > or < or =

(a) 35 __ |35|

(b) -19 __ |-27|

(d) |-200| __ -300

(e) |-25| __ 25

(f) -|-39| __ -35

Sol :

Question 7

Write the opposite of

(a) |45|

(b) |50|

(d) -|18|

Sol :

Question 8

The table shows the average temperate in Vostok, Antarctica, from March to October . List the months in order from coldest to warmest.

Month	March	April	May	June	July	August	September	October
Temperature <0°f	-72	-84	-86	-85	-88	-90	-87	-71

Question 9

Use number line to find each sum

(a) 6+2

(b) -4+(-3)

(d) -4+7

Question 10

Find each sum

(a) -15+(-7)

(b) 13+27

(d) 36+(-60)

(e) -94+(-6)

(f) 39+(-9)

(g) 50-|-50|

Question 11

Find each sum

(a) -18+29+(-11)

(b) |-25|+9-|-4|

Question 12

(a) 8-15

(b) -7-(-12)

(d) 8-(-15)

(e) -8-12

(f) 9-(-9)

(g) 89-(-11)

(h) -129-(-130)

Question 13

If the deepest point in the sea is 11600 m below sea level and the highest mountain top is 8846 m above sea level, then the difference in their elevation is

(a) 2754 m

(b) 20446 m

(d) 2952 m

Sol :

Question 14

The sum of two integers is 50. If one of them is -38, the other is

(a) 88

(b) 12

(d) -12

Question 15

If p and q are two integers such that p is the predecessor of q, then p - q is equal to

(a) 1

(b) 0

(d) -1

Sol :

Question 16

Which sum is not negative?

(a) -40+(-30)

(b) -70+65

(d) -49+0

Sol :

SChand Composite Mathematics Class 7 Chapter 1 Integers Exercise 1A

Exercise 1A

OPEN IN YOUTUBE

Question 1

(i) The greatest negative integer is -1 .

(ii) 0 is greater than every negative integer.

(iii) The absolute value of an integer is either equal to or greater than the integer, but never less than the integer.

(iv) The successor of -91 is -90 .

(v) The predecessor of -380 is -381.

OPEN IN YOUTUBE

Question 2

Replace each blank by < or > to make the given statement true.

(i) -8 ___ -18

Sol : >

(ii) -4 ___ 0

Sol : <

(iii) -357 ____ -537

Sol : >

(iv) -71 ____ 17

Sol : <

OPEN IN YOUTUBE

Question 3

(i) Arrange the following integers in ascending order

-8,-4,0,-11,9,4,6,13,-27,19

Sol :

-27,-11,-8,-4,0,4,6,9,13,19

(ii) Arrange the following integers in descending order

-6,-11,12,-32,-23,14,0,32,16,-19,-18

Sol :

32,16,14,12,0,-6,-11,-18,-19,-23,-32

OPEN IN YOUTUBE

Question 4

Add :

(i) -18 , 14

Sol :

=-18+14

=-4

(ii) -26, -3

Sol :

=-26+(-3)

=-26-3=-29

(iii) 46, -46

Sol :

=+46-46=0

(iv) 400, -31, -71

Sol :

=400+(-31)+(-71)

=400-31-71

=400-102

=298

(v) -613, -421, -700

Sol :

=-613+(-421)+(-700)

=-613-421-700

=-1034-700

=-1734

OPEN IN YOUTUBE

Question 5

Subtract the first integer from the second in each case:

(i) 6, 18

Sol :

=18-6=12

(ii) -3, 6

Sol :

=6-(-3)

=6+3=9

(iii) -27, -54

Sol :

=-54-(-27)

=-54+27=-27

(iv) 12, -7

Sol :

=-7-12

=-19

OPEN IN YOUTUBE

Question 6

Find the value of :

(i) -37-(-15)-2

Sol :

=-37+15-2

=-37+13

=-24

(ii) 16-[14-(-2)-(-6)]

Sol :

=16-[+14+2+6]

=16-14-2-6

=16-14-8

=+2-8

=-6

Exercise 1.1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 1F

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Exercise 1E

Question 1

Question 2

Question 3

Exercise 1D

Question 1

Question 2

Question 3

Question 4

Exercise 1C

Question 1

Question 2

Question 3

Question 4

Exercise 1B

Fill in the blanks and name the property used

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Exercise 1A

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Exercise 1A

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Contact Form