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Alex has a number game - OCR - GCSE Maths - Question 3 - 2020 - Paper 3

Question 3

Alex has a number game. He must put down tiles to make two calculations with the same answer. Here is what Alex put down. 2 − 3 × 2 = 3 − 5 Is he correct? Show ho... show full transcript

Worked Solution & Example Answer:Alex has a number game - OCR - GCSE Maths - Question 3 - 2020 - Paper 3

Step 1

Is he correct?

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Answer

To determine if Alex is correct, we need to evaluate both sides of the equation he presented:

Evaluate the left side: $2 - 3 \times 2$ . According to the order of operations (BODMAS/BIDMAS), we first perform the multiplication:

$3 \times 2 = 6$

Now substituting back:

$2 - 6 = -4$
Now, evaluate the right side: $3 - 5$ :

$3 - 5 = -2$

Now we compare the results:

Left side: $-4$
Right side: $-2$

Since $-4 \neq -2$ , Alex is incorrect.

Step 2

Show how you decide.

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Answer

The calculations clearly show that the left side evaluates to $-4$ while the right side evaluates to $-2$ . Since these two values are not equal, we conclude that Alex is wrong. Furthermore, the proper application of the order of operations further confirms our evaluations.

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