Question

Substract the sun of -1032and878from-34

Answer 1

Question:

Subtract the sum of - 1032 and 878 from - 34.

Answer:

- 120

Step-by-step explanation:

Before reckoning anything, we've to first of all understand the rules of addition of integers.

1. Rules of addition of integers:

(i) (+) + (+) = +

For eg: - 2 + 2 = 4

(ii) (-) + (+) = the greater number's sign.

For eg: - 4 + 3 = - 1

- 2 + 3 = 1

(iii) (+) + (-) = the greater number's sign.

For eg: 4 + (-5) = - 1

4 + (-3) = 1

(iv) (-) + (-) = -

For eg: - 4 + (-3) = - 7

2. Rules for subtraction of integers:

(i) (+) - (+) = greater number's sign

For eg: 4 - (3) = 1

4 - (5) = 4 - 5 = - 1

(ii) (-) - (+) = greater number's sign

For eg: - 5 + 4 = - 1

- 5 + 6 = 1

(iii) (+) - (-) = +

For eg: 5 - (-5) = 5 + 5 = 10

(iv) (-) - (-) = greater number's sign

For eg: - 5 - (-6) = - 5 + 6 = 1

- 5 - (- 4) = - 5 + 4 = - 1

Now, we know the basic rules of addition and subtraction of integers. Now, we can solve our given question.

To solve:

(- 1032 + 878) - (- 34)

$\fbox{\bold{\mathsf{Note:}}}$

We have written - (- 34) and not simply - 34 as we have to subtract the sum of - 1032 + 878 from the given numbers i.e., - 34.

Also first of all, we've to add the numbers then we've to subtract the sum by usin' BODMAS rule.

= (- 1032 + 878) - (- 34)

= - 154 - (- 34) [- 154 => 'cause (-) + (+) = the greater number's sign]

= - 154 + 34 [+34 => 'cause (-) $\times$ (-) = greater number's sign]

= - 120