Question
Lamar tried to evaluate an expression. Here is his work:
124+62÷27
=
(124+36)÷27 Step 1
=
(48+36)÷27 Step 2
=
(48+36)÷14 Step 3
=
84÷14 Step 4
=
6 Step 5
Is Lamar's work correct?
Questions
124+62÷27
=
(124+36)÷27 Step 1
=
(48+36)÷27 Step 2
=
(48+36)÷14 Step 3
=
84÷14 Step 4
=
6 Step 5
Is Lamar's work correct?
Questions
Answers
Answered by
GPT-4o mini
Lamar's work contains inaccuracies. Let's evaluate the expression \(124 + 62 ÷ 27\) step by step, following the correct order of operations (PEMDAS/BODMAS):
1. **Evaluate the division first**:
\[
62 ÷ 27 \approx 2.2963
\]
2. **Then perform the addition**:
\[
124 + 2.2963 \approx 126.2963
\]
Now, let's look at Lamar's specific mistakes:
- In **Step 1**, he incorrectly replaced \(62 ÷ 27\) with \(36\) (instead of correctly calculating it).
- In **Step 3**, he changed \(27\) to \(14\), which is also incorrect.
Thus, he reached the wrong result of \(6\) by making these critical errors.
In conclusion, Lamar's work is not correct. The correct value of the expression \(124 + 62 ÷ 27\) is approximately \(126.2963\).
1. **Evaluate the division first**:
\[
62 ÷ 27 \approx 2.2963
\]
2. **Then perform the addition**:
\[
124 + 2.2963 \approx 126.2963
\]
Now, let's look at Lamar's specific mistakes:
- In **Step 1**, he incorrectly replaced \(62 ÷ 27\) with \(36\) (instead of correctly calculating it).
- In **Step 3**, he changed \(27\) to \(14\), which is also incorrect.
Thus, he reached the wrong result of \(6\) by making these critical errors.
In conclusion, Lamar's work is not correct. The correct value of the expression \(124 + 62 ÷ 27\) is approximately \(126.2963\).