[2 Mark Question Answer]

Question 12 Marks

Using a number line, evaluate:
(-7) – (-2)

Answer

$
(-7)-(-2)
$

Mark the points $(-7)$ and $(-2)$ on the same number line, we see that $(-2)$ is 5 units on the left
$
(-2)-7-(-2)=-7+2=-5
$

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Question 22 Marks

Using a number line, evaluate:
(+4) – (-1)

Answer

$
(+4)-(-1)
$

Mark the points $(+4)$ and $(-1)$ on the same number line, we see that the position of $(-1)$ is 5 units from $(+4)$ to its right
$
(+4)-(-1)=4+1=5
$

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Question 32 Marks

Using a number line, evaluate:
(+5) – (-3)

Answer

$
(+5)-(-3)
$

Mark the points $(+5)$ and $(-3)$ on the same number line. We see that the position of $(-3)$ is 8 units from $(+5)$ to its right 3 .
$
(+5)-(-3)=5+3=8
$

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Question 42 Marks

Using a number line, evaluate:
(+6) – (+2)

Answer

$
(+6)-(+2)
$

First of all for $(+6)$ we move 6 units right of 0 and then for $(+2)$, we move 2 units left of 6 reaching 4
$
(+6)-(+2)=6-2=4
$

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Question 52 Marks

Using a number line, evaluate:
(-7) + (-1)

Answer

$
(-7)+(-1)
$

First of all for -7 , we move 7 units left of zero and then for ( -1 ) we move 1 unit left of -7 reaching -8
$
(-7)+(-1)=-8
$

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Question 62 Marks

Using a number line, evaluate:
(-5) + (-5)

Answer

$
(-5)+(-5)
$

First of all, for -5 , we move 5 units to left of zero and then for $(-5)$, we move 5 units to left of $(-5)$ reaching at -10
$
(-5)+(-5)=-10
$

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Question 72 Marks

Using a number line, evaluate:
(-3) + (+3)

Answer

$
(-3)+(+3)
$

First of all for (-3), we move 3 units left of zero and then for (+3) we move 3 unit right of $(-3)$ reaching at 0 So, $(-3)+(+3)=0$

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Question 82 Marks

Using a number line, evaluate:
(+6) + (-2)

Answer

$
(+6)+(-2)
$

First of all, we move for $(+6), 6$ units to the right of zero and then for (-2), move 2 units to the left of 6 , then we reach 4 Then $(+6)+(-2)=6-2=4$

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Question 92 Marks

Using a number line, evaluate:
(-3) + (+7)

Answer

$
(-3)+(+7)
$

First of all, we move for (-3) 3 unit to the left of zero and then for (+7), we move 7 units to the right of $(-3)$ reaching +4 Then $(-3)+(+7)=+4$

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Question 102 Marks

Using a number line, evaluate:
(-3) + (+5)

Answer

$
(-3)+(+5)
$

First of all for $(-3)$ we move, 3 units to the left of zero, then move $(+5)$ units to the right of 5 , then we reach at $(+2)$, then
$
(-3)+(+5)=-3+5=2
$

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Question 112 Marks

Using a number line, evaluate:
(+6) + (+8)

Answer

$
(+6)+(+8)
$

First of all, we move 6 units to the right of zero then for (+8), we move 8 units to the right of (+6)
Then we reach at +14 , then
$
(+6)+(+8)=+14
$

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Question 122 Marks

Using a number line, evaluate:
(+5) + (+4)

Answer

$
(+5)+(+4)
$

First of all, we move 5 units to the right of zero then for $(+4)$, move 4 units right of 5 , then we reach at 9 , then $(+5)+(+4)=+9$

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Question 132 Marks

Using a number line, write the numbers 8, -6, 2 -12, 0, 15 and -1 in descending order of value.

Answer

$
\text { On the given number line, we mark the numbers } 8,-6,2,-12,0,15 \text { and }-1 \text { on it }
$

We see that
$
15>8>2>0>-1>-6>-12
$
$15,8,2,0,-1,-6,-12$ are in descending order

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Question 142 Marks

Using a number line, write the numbers -15, 7, 0, -8, and -3 in ascending order of value.

Answer

On the given number line, we mark the numbers $-15,7,0,-8$ and -3 on it, we see that

We see that $-15<-8<-3<0<7$ $-15,-8,-3,0,7$ are in ascending order

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Question 152 Marks

Using a number line, find the integer which is 7 less than -8.

Answer

7 less than -8
To get 7 less than -8 , start from -8 and then move 7 units to the left of -8 to get $-15$

$
\therefore 7 \text { less than }-8 \text { is }-15
$

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Question 162 Marks

Using a number line, find the integer which is 7 more than 0.

Answer

7 more than 0
To get 7 more than 0 , start from 0 and then move 7 units to the right of 0 to get 7

$
\therefore 7 \text { more than } 0 \text { is } 7
$

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Question 172 Marks

Using a number line, find the integer which is 4 less than -4.

Answer

4 less than -4
To get 4 less than -4 , start from -4 and then move 4 units to the left of -4 to get -8

$
\therefore 4 \text { less than }-4 \text { is }-8
$

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Question 182 Marks

Using a number line, find the integer which is 5 more than -9.

Answer

5 more than -9
To get 5 more than -9 , start from -9 and then move 5 units to the right of -9 to get $-4$

$
\therefore 5 \text { more than }-9 \text { is }-4
$

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Question 192 Marks

Using a number line, find the integer which is 5 less than 2.

Answer

5 less than 2
To get 5 less than 2, start from 2 and then move 5 units to the left of 2 to get -3

$
\therefore 5 \text { less than } 2 \text { is }-3
$

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Question 202 Marks

Using a number line, find the integer which is 3 more than -1.

Answer

3 more than -1
To get 3 more than -1 , start from -1 and then move 3 units to the right of -1 to get 2.

$
\therefore 3 \text { more than }-1 \text { is } 2
$

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Question 212 Marks

Use a number line to evaluate the following:
(-8) – (-4)

Answer

$
(-8)-(-4)
$
draw a number line and mark (-8) on it.
Now mark (-4) on the same line. Now count from -8 to -4 , which is -4 as shown.

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Question 222 Marks

Use a number line to evaluate the following:
(+4) – (-2)

Answer

$
(+4)-(-2)
$

Marking +4 and -2 , from +4 position count steps towards the left to 2 , there are 6 steps
$
\therefore(+4)-(-2)=+6
$

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Question 232 Marks

Use a number line to evaluate the following:
(-7) – (+5)

Answer

$
(-7)-(+5)
$

Marking -7 and +5 , from +5 position count steps towards the left to -7 , there are 12 steps
$\therefore(-7)-(+5)=-12$.

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Question 242 Marks

Use a number line to evaluate the following:
(-6) – (+2)

Answer

$
(-6)-(+2)
$

Marking the position of 6 , and +2 on the number line count step from position +2 to left -6 , there are 8 steps
$
\therefore(-6)-(+2)=-8
$

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Question 252 Marks

Use a number line to evaluate the following:
(+8)- (-5)

Answer

$
(+8)-(-5)
$

Starting from the position of -5 , count the number of steps needed to reach +8 , we fine 13 steps towards the right.
$
\therefore(+8)-(-5)=+13 \text {. }
$

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Question 262 Marks

Use a number line to evaluate the following:
(+ 10) – (+2)

Answer

$
(+10)-(+2)
$

for +2, to reach the position of number +10 , we find 8 steps to the rights.
$
\therefore(+10)-(+2)=+8 \text {. }
$

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Question 272 Marks

Use a number line to evaluate the following:
(-3) + (-4)

Answer

$
(-3)+(-4)
$

for -3 , start from zero and move 3 units to the left and then again for -4 , move 4 units to left of -3 .
$
\therefore(-3)+(-4)=-7 \text {. }
$

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Question 282 Marks

Use a number line to evaluate the following:
(-2) + (-5)

Answer

$
(-2)+(-5)
$

for -2 , start from zero and move 2 units to the left and then again for -5 , move 5 units to left of -2 .
$
\therefore(-2)+(-5)=-7 \text {. }
$

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Question 292 Marks

Use a number line to evaluate the following:
(-1) + (-2)

Answer

$
(-1)+(-2)
$

for -1 , start from zero and move one units to the left and then again for -2 , move 2 units to left of -1 .
$
\therefore(-1)+(-2)=-3 \text {. }
$

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Question 302 Marks

Use a number line to evaluate the following:
3 + (-7)

Answer

$
3+(-7)
$

For 3 , move 3 units right of 0 and then, for (-7) move 7 units to left of 3
$
\therefore 3+(-7)=-4 \text {. }
$

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Question 312 Marks

Use a number line to evaluate the following:
(+3) + (-6)

Answer

$
(+3)+(-6)
$

For (+3) move 3 units to the right of 0 , then for $(-6)$ move 6 units to the left of 3
$
\therefore(+3)+(-6)=-3 \text {. }
$

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Question 322 Marks

Use a number line to evaluate the following:
(+ 4) + (-2)

Answer

$
(+4)+(-2)
$

For +4 move 4 units to the right of 0 , then for -2 move 2 units to the left of +4
$
\therefore(+4)+(-2)=+2 \text {. }
$

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Question 332 Marks

Use a number line to evaluate the following:
(-1) + (+4)

Answer

$
(-1)+(+4)
$

For -1 move 1 unit to the left of 0 , then for +4 move 4 units to the right of -1
$
\therefore(-1)+(+4)=+3 \text {. }
$

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Question 342 Marks

Use a number line to evaluate the following:
0 + (-2)

Answer

$
0+(-2)
$

For 0 no movement them for -2 move 2 units to left of 0
$
\therefore(0)+(-2)=-2 \text {. }
$

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Question 352 Marks

In the following case, arrange the given integers in descending order using a number line.
12, 23, -11, 0, 7, 6

Answer

$12,23,-11,0,7,6$
Draw a number line and mark these numbers on it. Arranging in descending order. 23, 12, 7, 6, $0,-1$ as shown on the number line

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Question 362 Marks

In the following case, arrange the given integers in descending order using a number line.
-5, -3, 8, 15, 0, -2

Answer

$
-5,-3,8,15,0,-2
$
Draw the number line and mark these numbers on it. Arranging in descending order $15,8,0-2,-3,-5$ as shown on the number line

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Question 372 Marks

In the following case, arrange the given integers in ascending order using a number line.
3, – 3, 4, – 7, 0, – 6, 2

Answer

3, -3, 4, -7, 0, -6, 2
Draw the number line and mark the numbers on it. Arranging in ascending order as shown on the number line. -7, -6, -3, 0, 2, 3, 4

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Question 382 Marks

In the following case, arrange the given integers in ascending order using a number line.
– 8, 0, – 5, 5, 4, – 1

Answer

– 8, 0, – 5, 5, 4, – 1
Draw a number line and mark the numbers on it. Arranging in ascending order, as shown -8,-5,-1, 0, 4, 5 as on the number line

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