To understand which situation the expression \(20 - 8 \times 2\) represents, we need to evaluate the order of operations (PEMDAS/BODMAS). The multiplication is performed before the subtraction.
- Evaluate the multiplication: \(8 \times 2 = 16\)
- Perform the subtraction: \(20 - 16 = 4\)
Now, let's analyze each provided situation:
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Rupert has $20. He gives $8 to one friend and $2 to another friend. How much money does Rupert have left?
- This situation translates to \(20 - 8 - 2\), which is not represented by the expression \(20 - 8 \times 2\).
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Martin has $20. He buys 2 shirts that cost $8 each. How much money does Martin have left?
- This situation also translates to \(20 - (8 \times 2)\) which simplifies to \(20 - 16\), aligning perfectly with the expression \(20 - 8 \times 2\).
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Brennan has $20. He gives a friend $8. And another friend gives him $2. How much money does Brennan have now?
- This translates to \(20 - 8 + 2\), which does not match the expression \(20 - 8 \times 2\).
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Malik has $20. He spends $8 and then doubles what he has left. How much money does Malik have now?
- This would represent \(20 - 8\) followed by doubling, not a direct representation of \(20 - 8 \times 2\).
The situation that best corresponds to the expression \(20 - 8 \times 2\) is:
Martin has $20. He buys 2 shirts that cost $8 each. How much money does Martin have left?
1 answer