1

Problem

Subtraction of integers:
(-10) - (-3) - (+2).

2

Step

The three integers are

\$ - 10, - 3, 2 \$

3

Step

Subtraction problem turns into an addition problem

\$ ((- 10) - ( - 3 )) + (- 2) \$

4

Step

After subtraction problem turns into an addition problem

\$ ((- 10) + 3) + (- 2) \$

5

Formula

If we follow the addition rule of positive and negative integers:

\$ (-) + (+) = "use the sign of larger absolute value number" \$.

6

Step

Let us add both the positive and negative integers

\$( -10 + 3 ) + (-2) \$

7

Step

After adding both positive and negative integers

\$(- 7) + (- 2) \$

8

Step

Here we apply the rule of addition of negative integers

\$ (-) + (-) = (-)\$

9

Step

Let us add both the negative integers

\$ (- 7) + (- 2) \$

10

Step

After adding both negative integers

\$-7 - 2 \$ = -9

12

Solution

Therefore, the subtraction of integers is \$ - 9 \$.

13

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

14

Choice-A

This option is correct: When you add (+5) and subtract (-7), the result (-2) aligns with our calculation

Correct -9

15

Choice-B

This option is incorrect; integer subtraction doesn’t involve subtracting the absolute value of 2 from the result

Wrong -5

16

Choice-C

This claims (+5) − (+7) equals -1, yet our calculation reveals it equals -2, rendering it wrong

Wrong -7

17

Choice-D

This choice falsely states that adding 5 to -7 equals -3, conflicting with our precise result of -2

Wrong -11

18

Answer

Option

A

19

Sumup

Please Summarize Choices