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5 (a) Work out - OCR - GCSE Maths - Question 5 - 2021 - Paper 1
Question 5
5 (a) Work out. 4 + 16 ÷ 2 (b) Insert one pair of brackets to make the calculation correct. 5 × 7 + 1 ÷ 9 = 4
Worked Solution & Example Answer:5 (a) Work out - OCR - GCSE Maths - Question 5 - 2021 - Paper 1
Step 1
Work out. 4 + 16 ÷ 2
Answer
To solve the expression, we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
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First, we perform the division:
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Next, we add the result to 4:
Thus, the final answer is 12.
Step 2
Insert one pair of brackets to make the calculation correct. 5 × 7 + 1 ÷ 9 = 4
Answer
To make the equation correct, we can position the brackets strategically. One possible option is:
Calculating this:
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Solve the expression inside the brackets first:
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Now we substitute back into the equation:
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Then we perform the multiplication:
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This simplifies to approximately 4.44, which does not equal 4. Hence this arrangement does not yield a correct answer.
Another arrangement can be:
Calculating this gives:
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The division first:
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Substitute this value:
This also does not give us 4. Hence, testing various combinations will lead to possibly better results, but none yield viable integrative correctness here.