1

Problem

Subtraction of integers:
(-21) - (+5) - (-10).

2

Step

The three integers are

\$ -21, 5, -10 \$

3

Step

Subtraction problem turns into an addition problem

\$ (- 21) + ( - 5 ) + 10 \$

4

Step

After subtraction problem turns into an addition problem

\$ ((- 21) + ( - 5 )) + 10 \$

5

Step

Here we apply the rule of addition of negative integers

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

6

Step

Let us add both the negative integers

\$ (- 21 + (- 5)) + 10 \$

7

Step

After adding both negative integers

\$(- 21 - 5) + 10 \$

8

Step

After simplification

\$- 26 + 10 \$

9

Formula

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

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

10

Step

Let us add both the negative integers

\$ - 26 + 10 \$

11

Step

After adding we get

\$ - 16 \$

13

Solution

Therefore, the subtraction of integers is \$-16\$.

14

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

15

Choice-A

The result is incorrect as it yields a negative value instead of a positive one

Wrong 16

16

Choice-B

This choice is inaccurate as it applies the rules of subtracting integers wrongly

Wrong -22

17

Choice-C

This is the correct result, as explained above

Correct -16

18

Choice-D

The subtraction yields a negative outcome, not a positive one. Therefore, it is incorrect

Wrong 22

19

Answer

Option

C

20

Sumup

Please Summarize Choices