Addition and Subtraction of Integers

Q.

Verify $a–(–b)=a+b$ for the following values of $a$and $b$.

$a=21,b=18$

Q.

What is the additive inverse of 0

Q.

Additive inverse of 2/3 lies between ______ .

1. Between -1 and -2

2. Between 1 and 2

3. Between 0 and -1

4. Between 0 and1

Q.

Represent $\frac{-2}{11}$, $\frac{-11}{11}$ and $\frac{5}{11}$ on the number line. [2 MARKS]

Q.

Represent the following numbers as integers with appropriate signs.

An air plane is flying at a height of two thousand meters above the ground.

Q. Represent each of the following numbers on the number line:
$\frac{-3}{4}$

Q.

If $+42$ represents $42m$ above the water surface, then what does $+98-115$ represent:

1. 17 m below the water surface
2. 27 m below the water surface
3. 27 m above the water surface
4. 17 m above the water surface

Q. Question 99
Rational numbers can be added (or multiplied) in any order
$\frac{-4}{5}\times \frac{-6}{5}=\frac{-6}{5}\times \frac{-4}{5}$

Q. Find the missing term : 15, 79, 322, 578, 703, ? (1) 739 (2) 751 (3) 855 (4) 860

Q.

Subtract the sum of $156\mathrm{and}-213$ from the sum of $-117$and $-516$

Q.

With all the numbers celebrating the return of $0$, the sun began to rise in the new world as morning approached. Suddenly, Ted heard his mom’s voice “Wake up.. You are going to be late for school today..” What? When? How?"
Yeah, you guessed it right, it was a dream. Ted got ready for school, his bus arrived. His house is beside MG Road, which leads straight to school. His school is $19$ blocks forward from Forum mall and his house is $5$ blocks backward to Forum mall. What is the expression that will give the distance between Ted's house and his school?

1. (19 + 5) blocks

2. (19×5) blocks

3. (19 - (-5)) blocks

4. (19 ÷ 5) blocks

Q. Compare the following numbers.
(1) −7, −2

(2) 0, $\frac{-9}{5}$

(3) $\frac{8}{7}$, 0

(4) $\frac{-5}{4}$, $\frac{1}{4}$

(5) $\frac{40}{29}$, $\frac{141}{29}$

(6) −$\frac{17}{20}$, $\frac{-13}{20}$

(7) $\frac{15}{12}$, $\frac{7}{16}$

(8) $\frac{-25}{8}$, $\frac{-9}{4}$

(9) $\frac{12}{15}$, $\frac{3}{5}$

(10) $\frac{-7}{11}$, $\frac{-3}{4}$

Q.

Write the predecessor of $94$.

Q. 16, 33, 65, 131, (?), 523

Q.

Four alternative options are given for each of the following statements. Select the correct option.

Sum of two negative integers is:

A. negative

B. positive

C. zero

D. infinite

Q. Radhika walks $92km$ towards South, turns her right and walks $8km$, turns right and walks $10km,$ the turns left and walks $9km$, again turns her left and walks $62km$. Now in which direction and how far away she is from her starting point?

1. $149\text{km Northeast}$
2. $149\text{km Southwest}$
3. $145\text{km Southwest}$
4. $149\text{km Northeast}$

Q. Tick (✓) the correct answer
Additive inverse of $\frac{-5}{9}$ is
(a) $\frac{-9}{5}$
(b) 0
(c) $\frac{5}{9}$
(d) $\frac{9}{5}$

Q. The difference of two integers is -8. If one them is -5. Find the other.

Q.

Negative of a no. is also called____

Q.

$-2+4-3=$ ___

Q. 51.10+221 + 10-221

Q.

Food (x)	2	4	7
Price (y)	$12	$24	$42

The equation for the relationship between the given two quantities is y = 6x.

1. False
2. True

Q. Find the value of x in the following expression:
$\text{5x - 1}>\text{x + 5}$

1. $\text{x}>3$
2. $\text{x}>-3$
3. $\text{x}<3$
4. $\text{x}<-3$

Q.

Write two integers whose sum is $6$

Q. $\text{In the function y}=3.5x+30,\text{y represents the}$ number of production of an item and x represents the time (in days).
On which day the number of production will be more than 121?

1. 26th day
2. 25th day
3. 27th day
4. Can't be determined

Q. Tick (✓) the correct answer
${\left[{\left\{{\left(-\frac{1}{2}\right)}^2\right\}}^{-2}\right]}^{-1}=?$
(a) $\frac{1}{16}$
(b) 16
(c) $-\frac{1}{16}$
(d) −16

Q. $\text{In the function y}=3.5x+30,\text{y represents the}$ number of production of an item and x represents the time (in days).
On which day the number of production will be more than 121?

1. 25th day
2. 26th day
3. Can't be determined
4. 27th day

Q. If the sum of three consecutive integers is $21$, then the sum of the two smaller integers is

1. $11$
2. $5$
3. $12$
4. $13$

Q.

If $+42$ represents $42m$ above the water surface, then what does $+98-115$ represent:

1. 17 m above the water surface
2. 27 m below the water surface
3. 17 m below the water surface
4. 27 m above the water surface

Q. Choose the correct option in place of “?”

$5368:3856::9271:2197::4583:$ ?

1. 5348
2. 4853
3. 5438
4. 5483