Addition of Integers using a Number Line

Q.

Suppose a deep-sea diver dives from the surface to $81$ $feet$ below the surface.

He then dives down $13$ more $feet$.

The divers depth is represented by the sum $-81+\left(-13\right)$.

Find and interpret the sum to describe the divers present depth.

Q.

Write an integer for the following statement.

$23°C$above $0°C$ temperature

Q. The distance between 4 and its opposite on number line is

1. 8 units
2. 4 units
3. $-8$ units
4. $6$ units

Q. Find the value of $3+6$ using a number line.

1. $7$
2. $8$
3. $9$
4. None of the above

Q.

Add the following numbers using the number line.

$(+7)+(-3)$

Q.

Add the following integers, using number line:

$(-1)+(-2)+(-4)$.

Q. A submarine at 20 feet below the sea level suddenly moves up 5 feet. The submarine is below the sea level.

1. 15 feet
2. –15 feet
3. –25 feet
4. 25 feet

Q.

Represent $25°C$ above $0°C$ temperature as integer with appropriate sign.

Q. Eddie is a diver. He dove to a depth of 40 feet below sea level. He, then, dove down another 4 feet. How far below sea level is he now?

1. $44\text{feet}$
2. $-44\text{feet}$
3. $36\text{feet}$
4. $36\text{feet}$

Q.

Give the numbers whose absolute value is

$271$

Q. Represent the following numbers on the number line.
(a) $+5$ (b) $-6$
[2 marks]

Q. Choose the appropriate option towards the correctness of the below statement.

We travel in the $\underset{–}{\text{right}}$ direction on a number line while adding $\underset{–}{\text{positive numbers}}.$ We also travel in the $\underset{–}{\text{left}}$ direction on a number line when adding $\underset{–}{\text{negative numbers}}$.

1. True
2. False

Q. Which of the following number line(s) represent(s) the sum $4+(-5)?$

1. 
2. 
3. (a) and (b) above
4. None of the above

Q. The submarine is 5 m below sea level and the paraglider is 8 m above sea level. How far is the submarine from the paraglider?

Q.

Match column A with column B

Column 1	Column 2
In integers, $2km$ above sea level is indicated by	$-99$
Integer between $-5$ and $-3$	$-6$
Predecessor of $-18$	$+2km$
The value of $-\left|8-2\right|$	$-19$
Smallest negative integer of two digits	$-4$

Q. By addition of integers using a number line, we get the value of $(-3)+7$ as .

Q.

Represent A submarine moving at the depth of $234m$ below the sea level as integer with appropriate sign.

Q. The value of $6+(-3)$ is

Q. Which of the following is equal to $-8+\left(12\right)$?

1. 4
2. $-2$
3. 2
4. $-4$

Q.

Add the following numbers using the number line.

$(-3)+(-3)$

Q.

Complete the table with the opposite of the given quantities.

QUANTITY	OPPOSITE
____________________	$15$ units to the left on a number line

Q. The below diagram shows a flood warning post in a river. What is the water level shown in the diagram in cm ?

1. $2$
2. $-2$
3. $20$
4. $-20$