42+22–46÷32

Question

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Step 162–46÷32
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Step 236–46÷32
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Step 336–24÷32
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Step 436–82
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Step 536–16
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Step 620
Is Leroy's work correct?

Answer 1

Let's evaluate the expression \(42 + 22 - 46 \div 32\) step by step and check Leroy's work.

1. First, we need to follow the order of operations (PEMDAS/BODMAS). We handle division before addition and subtraction:

   • Calculate \(46 \div 32\): \[ 46 \div 32 = 1.4375 \]

2. Now, substitute that back into the expression: \[ 42 + 22 - 1.4375 \]

3. Perform the addition: \[ 42 + 22 = 64 \]

4. Then perform the subtraction: \[ 64 - 1.4375 = 62.5625 \]

So, the final result of the expression \(42 + 22 - 46 \div 32\) is \(62.5625\).

Now, let's review Leroy's steps:

1. \(42 + 22 - 46 \div 32\): This step should begin the calculation, correct.
2. \(42 + 22\) and when simplifying to \(62 - 46 \div 32\): This is incorrect; he should have performed the division before the addition.
3. The subsequent steps appear to misunderstand both the order of operations and the actual computations due to discrepancies.

In conclusion, Leroy's work is not correct; the final evaluation of the expression should yield \(62.5625\), and his steps do not appropriately follow the order of operations or yield the correct results.