We appreciate your visit to Mary solved the following problem tex 57 6 2 10 2 tex tex 57 6 2 12 tex tex 57 36 12 tex tex 57. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Let's analyze the expression step by step. The original expression is
[tex]$$
57 - 6^2 + (10+2).
$$[/tex]
1. First, we compute the exponent:
[tex]$$
6^2 = 36.
$$[/tex]
2. Next, we compute the addition inside the parentheses:
[tex]$$
10 + 2 = 12.
$$[/tex]
3. At this stage, the expression becomes
[tex]$$
57 - 36 + 12.
$$[/tex]
4. The proper order of operations (also known as PEMDAS/BODMAS) dictates that we perform the subtraction and addition from left to right. This means we first do
[tex]$$
57 - 36 = 21,
$$[/tex]
and then
[tex]$$
21 + 12 = 33.
$$[/tex]
Mary, however, proceeded by first combining [tex]$36 + 12$[/tex] to get [tex]$48$[/tex], and then computing
[tex]$$
57 - 48 = 9.
$$[/tex]
This is an error because it incorrectly groups the subtraction and addition. The subtraction should have been performed before adding [tex]$12$[/tex].
Thus, the mistake is that the subtraction should have been done before the addition.
[tex]$$
57 - 6^2 + (10+2).
$$[/tex]
1. First, we compute the exponent:
[tex]$$
6^2 = 36.
$$[/tex]
2. Next, we compute the addition inside the parentheses:
[tex]$$
10 + 2 = 12.
$$[/tex]
3. At this stage, the expression becomes
[tex]$$
57 - 36 + 12.
$$[/tex]
4. The proper order of operations (also known as PEMDAS/BODMAS) dictates that we perform the subtraction and addition from left to right. This means we first do
[tex]$$
57 - 36 = 21,
$$[/tex]
and then
[tex]$$
21 + 12 = 33.
$$[/tex]
Mary, however, proceeded by first combining [tex]$36 + 12$[/tex] to get [tex]$48$[/tex], and then computing
[tex]$$
57 - 48 = 9.
$$[/tex]
This is an error because it incorrectly groups the subtraction and addition. The subtraction should have been performed before adding [tex]$12$[/tex].
Thus, the mistake is that the subtraction should have been done before the addition.
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