Solved on Jan 09, 2024

Find the issue with the equation $4+(10 / 5)=6-2$ . The correct answer is (C) The two sides do not evaluate to the same value.

STEP 1

Assumptions
1. The equation given is $4+(10 / 5)=6-2$ .
2. We need to determine what is wrong with the equation.
3. The operations involved are addition ( $+$ ), division ( $/$ ), and subtraction ( $-$ ).
4. The equation is expected to have the same value on both sides for it to be correct.

STEP 2

Evaluate the left side of the equation by performing the operations in the correct order according to the order of operations (PEMDAS/BODMAS).
$4+(10 / 5)$

STEP 3

Perform the division first.
$10 / 5 = 2$

STEP 4

Now, add the result of the division to 4.
$4 + 2$

STEP 5

Calculate the sum.
$4 + 2 = 6$

STEP 6

Evaluate the right side of the equation by performing the subtraction.
$6 - 2$

STEP 7

Calculate the difference.
$6 - 2 = 4$

STEP 8

Compare the results from the left and right sides of the equation.
Left side: $6$ Right side: $4$

STEP 9

Determine the correctness of the equation by checking if both sides are equal.
Since $6 \neq 4$ , the two sides do not evaluate to the same value.

STEP 10

Identify the correct option based on the evaluation.
Option (C) states "The two sides do not evaluate to the same value," which is consistent with our findings.
The problem with the equation $4+(10 / 5)=6-2$ is that the two sides do not evaluate to the same value.

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Find the issue with the equation $4+(10 / 5)=6-2$ . The correct answer is (C) The two sides do not evaluate to the same value.

STEP 1

Assumptions
1. The equation given is $4+(10 / 5)=6-2$ .
2. We need to determine what is wrong with the equation.
3. The operations involved are addition ( $+$ ), division ( $/$ ), and subtraction ( $-$ ).
4. The equation is expected to have the same value on both sides for it to be correct.

STEP 2

Evaluate the left side of the equation by performing the operations in the correct order according to the order of operations (PEMDAS/BODMAS).
$4+(10 / 5)$

STEP 3

Perform the division first.
$10 / 5 = 2$

STEP 4

Now, add the result of the division to 4.
$4 + 2$

STEP 5

Calculate the sum.
$4 + 2 = 6$

STEP 6

Evaluate the right side of the equation by performing the subtraction.
$6 - 2$

STEP 7

Calculate the difference.
$6 - 2 = 4$

STEP 8

Compare the results from the left and right sides of the equation.
Left side: $6$ Right side: $4$

STEP 9

Determine the correctness of the equation by checking if both sides are equal.
Since $6 \neq 4$ , the two sides do not evaluate to the same value.

STEP 10

Identify the correct option based on the evaluation.
Option (C) states "The two sides do not evaluate to the same value," which is consistent with our findings.
The problem with the equation $4+(10 / 5)=6-2$ is that the two sides do not evaluate to the same value.

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Find the issue with the equation 4+(10/5)=6−24+(10 / 5)=6-24+(10/5)=6−2. The correct answer is (C) The two sides do not evaluate to the same value.

STEP 1

STEP 2

Evaluate the left side of the equation by performing the operations in the correct order according to the order of operations (PEMDAS/BODMAS).4+(10/5)4+(10 / 5)4+(10/5)

STEP 3

Perform the division first.10/5=210 / 5 = 210/5=2

STEP 4

Now, add the result of the division to 4.4+24 + 24+2

STEP 5

Calculate the sum.4+2=64 + 2 = 64+2=6

STEP 6

Evaluate the right side of the equation by performing the subtraction.6−26 - 26−2

STEP 7

Calculate the difference.6−2=46 - 2 = 46−2=4

STEP 8

Compare the results from the left and right sides of the equation.Left side: 666 Right side: 444

STEP 9

Determine the correctness of the equation by checking if both sides are equal.Since 6≠46 \neq 46=4, the two sides do not evaluate to the same value.

STEP 10

Identify the correct option based on the evaluation.Option (C) states "The two sides do not evaluate to the same value," which is consistent with our findings.The problem with the equation 4+(10/5)=6−24+(10 / 5)=6-24+(10/5)=6−2 is that the two sides do not evaluate to the same value.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the issue with the equation $4+(10 / 5)=6-2$ . The correct answer is (C) The two sides do not evaluate to the same value.

Evaluate the left side of the equation by performing the operations in the correct order according to the order of operations (PEMDAS/BODMAS).
$4+(10 / 5)$

Perform the division first.
$10 / 5 = 2$

Now, add the result of the division to 4.
$4 + 2$

Calculate the sum.
$4 + 2 = 6$

Evaluate the right side of the equation by performing the subtraction.
$6 - 2$

Calculate the difference.
$6 - 2 = 4$

Compare the results from the left and right sides of the equation.
Left side: $6$ Right side: $4$

Determine the correctness of the equation by checking if both sides are equal.
Since $6 \neq 4$ , the two sides do not evaluate to the same value.

Identify the correct option based on the evaluation.
Option (C) states "The two sides do not evaluate to the same value," which is consistent with our findings.
The problem with the equation $4+(10 / 5)=6-2$ is that the two sides do not evaluate to the same value.