:
Steps: 2 Marks
Answer: 1 Mark
$75p+50p=125p$
$\Rightarrow Re1+25p=Rs1.25$
Now, on subtracting Rs 1.25from Rs 10, we get
$\Rightarrow Rs(10-1.25)=Rs\mathrm{8.75.}$
Thus, after her purchase, the money left with Priya is $Rs\mathrm{8.75.}$

Answer: Option B. -> -1 and +1  
:
B
Observe a number line.

In negative numbers, as magnitude increases, value decreases.
Therefore, thelargest negative integer is -1.
Similarly, inpositive numbers, as magnitude increases, value increases.
Therefore,the smallest positive integer is 1.

:
Each option: 1 Mark
(i) $+20$
$\Rightarrow \text{Walking 20 km towards north}$
(ii) $-30$
$\Rightarrow \text{Walking 30 km towards south}$
(iii) $-70$
$\Rightarrow \text{Walking 70 km towards south}$
(iv) $+45$
$\Rightarrow \text{Walking 45 km towards north}$

:
Number line: 2 Marks
Answers: 2 Marks
(a). – 8 – (– 10) is equal to – 8 + 10 as additive inverse of –10 is 10. On the number line, from – 8 we will move 10 steps towards the right.

We reach at 2. Thus, –8 – (–10) = 2 Hence, to subtract an integer from another integer it is enough to add the additive inverse of the integer that is being subtracted, to the other integer.
(b) In the number line, it has tomove two steps left from 6. We reach at 4. Therefore, $6−2=4$

Answer: Option B. -> -1 and +1  
:
B
$(-3)-(-4)=-3+4=+1(-4)+(-3)=-4-3=-7$
Since$+1>-7$,$(-3)-(-4)>(-4)+(-3)$

Answer: Option A. -> -28
:
A
$(-12)+\left(12\right)+(-6)+(-5)+(-7)+(-10)$
$=(-12)+\left(12\right)+(-28)$
$=0-28$
$=-28$

Answer: Option C. -> -6, -5, -4, -3, -2
:
C
-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6............ and so on, are greater than -10.

Answer: Option A. -> 2
:
A
In the number line when we move towards right, the value increases.
Consider that we are at (-7) on the number line. If we go 9 units to the right then, we will reach 2 i.e. (-7) + 9 = 2.

Answer: Option C. -> -8
:
C
In a vertical number line, the numbers above 0 are positive and the numbers below zero are negative.
Given, point D = +8. We can conclude that each division is 1 unit.
Point F is also 8 units away from '0' and below zero.
Hence the number represented by the point F is -8.

Answer: Option A. -> larger, smaller
:
A
As you move towards the right on the number line, the value increases and as you move towards the left on the numberline, the value decreases.
Hence,
farther a number is from 0 on the right, largeris its value.
Farther a number is from 0 on the left, smalleris its value.