This study notes covers Higher Example within BIDMAS for GCSE Mathematics. Revise BIDMAS in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 6 of 8 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 6 of 8
Practice
14 questions
Recall
22 flashcards
Higher Example
Calculate: 2 × (3 + 4)² ÷ 7 - √16 + 12 ÷ 3 × 2
Step 1 Brackets first
= 2 × 7² ÷ 7 - √16 + 12 ÷ 3 × 2
(3 + 4) = 7
Step 2 Indices (powers and roots)
= 2 × 49 ÷ 7 - 4 + 12 ÷ 3 × 2
7² = 49, √16 = 4
Step 3 Division and Multiplication (left to right)
= 98 ÷ 7 - 4 + 12 ÷ 3 × 2
= 14 - 4 + 4 × 2
= 14 - 4 + 8
2 × 49 = 98, 98 ÷ 7 = 14, 12 ÷ 3 = 4, 4 × 2 = 8
Step 4 Addition and Subtraction (left to right)
= 10 + 8 = 18
14 - 4 = 10, then 10 + 8 = 18
Answer:
18