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Question

Simplify:

(3) (210 – 150) + [9 × 10 + (–5 × 2)] – 100

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Solution

We follow the BODMAS rule in simplifying the expressions.
BODMAS: Brackets open, Division, Multiplication, Addition and Subtraction (in the given order)

Now, we have:
(210 – 150) + [9 × 10 + (–5 × 2)] – 100
= (210 – 150) + [9 × 10 –10] – 100 (Performing multiplication in the simple brackets first)
= (210 – 150) + [90 – 10] – 100 (Performing multiplication)
= (210 – 150) + 80 – 100 (Performing subtraction in the square brackets)
= 60 + 80 – 100 (Performing subtraction in the simple brackets)
= 140 – 100 (Performing addition)
= 40

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