Representing Integers on the Number Line

Q.

Show how $\surd 5$can be represented on the number line.

Q.

Question 1 (a)

Using the number line write the integer which is:

3 more than 5

Q.

Question 1 (d)

Using the number line write the integer which is:

3 less than –2

Q.

Question 71

Using number line, how do you compare

(a) two negative integers?

(b) two positive integers?

(c) one positive and one negative integers?

Q.

Question 2 (e)

Use number line and add the following integers:

(–1) + (–2) + (–3)

Q.

Question 4 (a)

Adjacent figure is a vertical number line, representing integers. Observe it and locate the following point:

If point D is +8 then which point is –8?

Q.

Question 81

Using the number line, write the integer which is

(a) 4 more than -5.

(b) 3 less than 2.

(c) 2 less than -2.

Q.

Question 2 (c)

Use number line and add the following integers:

(–1) + (–7)

Q.

Question 10 (a)

Draw a number line and answer the following:

Which number will we reach if we move 4 numbers to the right of –2?

Q.

Question 4

Number of integers lying between -1 and 1 is

(a) 1

(b) 2

(c) 3

(d) 0

Q.

Question 61.

If we denote the height of a place above sea level by a positive integer and depth below the sea level by a negative integer, then write the following using integers with the appropirate sign:

(a) 200 m above sea level (b)100 m above sea level

(c)10 m above sea level (d) Sea level

Q.

Question 10 (c)

Draw a number line and answer the following:

If we are at –8 on the number line, in which direction should we move to reach –13?

Q.

Question 40

On the number line, -15 is to the ........... of zero.(Right/Left)

Q.

Which is the number that divides positive and negative numbers on the number line?

1. 1

2. 0

3. -1

4. 2

Q.

Question 3 (a)

Represent the following number on a number line:
+5

Q.

Question 74

Arrange the following integers in the descending order.

-2, 0, -1, -4, -3, -6

Q.

How many natural numbers lie between 9 and 15?

1. 6

2. 5

3. 7

4. 6

Q. How many numbers lie between -2 and 6 ?

1. 7
2. 8
3. 9
4. 10

Q.

Arrange the following integers in the ascending order.

-2, 1, 0, -3, +4, -5

Q.

Question 2 (a)

Use number line and add the following integers:

9 + (–6)

Q.

Question 4 (e)

Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:

Arrange all the points in decreasing order of values.

Q.

A number line is used to represent only positive integers.

1. Negative integers

2. Positive integers

Q.

Question 77

Write four pairs of integers which are at the same distance from 2 on the number line.

Q.

Question 76

Write five integers which are less than -100 but greater than -150.

Q.

Question 55.

Fill in the blanks using >, < or =.

$-\mathrm{101......}-102$

Q.

Among the following pairs, in which pair the first number is to the right of the second number on the number line?
i. $(3,7)$
ii. $(0,-4)$
iii. $(2,5)$
iv. $(-4,-8)$
v. $(1,-10)$
vi. $(-1,3)$

1. $(0,-4),(3,7)and(1,-10)$

2. $(3,7),(-4,-8)and(1,-10)$

3. $(0,-4),(-4,-8)and(1,-10)$

4. $(0,-4),(-4,-8)and(3,7)$

Q.

Question 2

The integer '5 units to the right of 0 on the number line' is

(a)+5

(b)-5

(c)+4

(d)-4

Q. Represent $\sqrt{6}$ on the number line.

Q.

Question 51.

Fill in the blanks using >, < or =.

(-71) + (9) ___ (-81) + (-9)

Q.

Question 8

On the number line, the integer 5 is located

(a) to the left of 0

(b) to the right of 0

(c) to the left of 1

(d) to the left of -2