Representing Integers on the Number Line

Q.

Zero is a positive integer since it doesn't carry any negative sign.

1. True

2. False

Q.

Among the following pairs, in which pairs, 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. (3, 7), (-4, -8) and (1, -10)

2. (0, -4), (-4, -8) and (1, -10)

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

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

Q. _______ and _______ are the smallest positive integer and largest negative integer respectively?

1. 0 and 1
2. 1 and 0
3. 1 and -1
4. -1 and 1

Q.

Zero is a positive integer since it doesn't carry any negative sign.

1. False

2. True

Q.

Find the value if you add -6 to 7 and then subtract -8 from the result.

1. 9

2. 7

3. 10

4. -7

Q.

Draw a number line and answer the following:

(c) If we are at -8 on the number line, in which direction should we move to reach -13?

Q.

(a) In the figure given below, normally in two jumps frog covers the distance of 9m. One day on seeing the snake frog jumped $\frac{1}{5}$ times more than his normal jump and again he jumped with full strength and covered $\frac{1}{2}$ times more distance than he normally covers in the second jump. Find the distance covered by frog in the second jump and in total.

(b) Are the statements below correct?

(i) The rational numbers $\frac{-21}{5}$ and $\frac{7}{-31}$ are on the opposite sides of 0 on the number line.

(ii) The rational number $\frac{-3}{-5}$ is on the right of $\frac{-4}{7}$ on the number line.

[4 MARKS]

Q. When a negative integer is subtracted from another negative integer, the sign of the result

1. is always positive
2. is never negative
3. depends on the numerical value of the integers
4. is always negative

Q.

The adjacent figure is a vertical number line, representing integers.

Observe it and locate the following points :

Which point marked on this number line has the least value?

Q.

I will reach __ if I move 5 units to the left starting from 2.

1. Unequal intervals.

2. Approximate equal intervals.

3. Exactly equal intervals

4. Randomly

Q.

Fill in the blanks

(1) +4 one the number line will be to ……… of zero.

(2) Total number of integers from −2 to +5 is …….

(3) ……. is the only number which has no positive or negative sign.

(4) {−1, −2, −3, ……} are …….integers.

(5) …….is the next number greater than −5

Q.

When you explained the solution to their problem by drawing this diagram, Shubhlin asked you: 'Why have you coloured all the stations' locations with different shades?' You answered: The colour shades become darker -

1. as the numbers decrease in order

2. as the numbers increase in order

3. as the numbers come close to zero

4. as the numbers go away from zero

Q.

Fill in the blank:

Farther a number from 0 on the right hand side on a number line, ___ will be its value.

Q.

If we want to mark +3 on a number line, we will move 3 units to the ___ of zero on the number line.

Q. Satish was standing on number -2 on a number line and moved 4 units right to reach his home. So, his home is on number.

1. 4
2. 2
3. -6
4. -4

Q. How many such $7s$ are there in the following number sequence each of which is immediately preceded by $1$ or $3$?
$17385713771739062973173$

1. $4$
2. $3$
3. $5$
4. $6$

Q.

Which integer in $0,12$ is to the right of the other on the number line?

Q.

If you add -6 to 7 and then subtract -8 from the result, what will be the answer?

1. 10

2. -7

3. 7

4. 9

Q.

After playing, Ted remembered that he doesn’t have a home there. Luckily, number $13$ was passing by and asked him if he wanted to stay at its place. Having no other option (and surprised that number $13$ brought good luck), Ted went with $13$. When he reached the house, he was surprised to see that all the houses were placed in a straight line at equal separation. Neighbors of $13$ were $12$ and $14$; similarly $14$ had $13$ and $15$ as neighbors. $13$ said, “This line, mathematically, is called ______.”

1. Home Line

2. Help Line

3. Number Line

4. Numeral Line