QuestionAnalyze your friend's work to find the error in balancing the equation $16 \div 8=16 \div 8-1$ .

Studdy Solution

STEP 1

Assumptions
1. The original unbalanced equation is $16 \div 8 = 16 \div 8 - 1$ .
2. The friend's attempt at balancing the equation is $16 \div 8 + 1 = 16 \div 8 - 1$ .
3. We need to identify the error made in the attempt to balance the equation.

STEP 2

Examine the original unbalanced equation.
$16 \div 8 = 16 \div 8 - 1$

STEP 3

Evaluate both sides of the original unbalanced equation separately.
Left-hand side (LHS):
$16 \div 8 = 2$
Right-hand side (RHS):
$16 \div 8 - 1 = 2 - 1 = 1$

STEP 4

Compare the results from STEP_3.
The LHS equals 2, and the RHS equals 1, which confirms that the original equation is indeed unbalanced.

STEP 5

Examine the friend's attempt at balancing the equation.
$16 \div 8 + 1 = 16 \div 8 - 1$

STEP 6

Evaluate both sides of the friend's balanced equation separately.
New Left-hand side (LHS):
$16 \div 8 + 1 = 2 + 1 = 3$
New Right-hand side (RHS):
$16 \div 8 - 1 = 2 - 1 = 1$

STEP 7

Compare the results from STEP_6.
The new LHS equals 3, and the new RHS equals 1, which shows that the friend's attempt did not balance the equation.

STEP 8

Identify the error made by the friend.
The friend added 1 to the left side of the original unbalanced equation, which did not correct the imbalance. The correct action would have been to either add 1 to the right side of the original equation or subtract 1 from the left side to maintain equality.

STEP 9

Choose the correct option based on the error identified in STEP_8.
The friend made the error of adding 1 to the left side of the equation.
The correct answer is: C. He added 1 to the left side.

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QuestionAnalyze your friend's work to find the error in balancing the equation $16 \div 8=16 \div 8-1$ .

Studdy Solution

STEP 1

Assumptions
1. The original unbalanced equation is $16 \div 8 = 16 \div 8 - 1$ .
2. The friend's attempt at balancing the equation is $16 \div 8 + 1 = 16 \div 8 - 1$ .
3. We need to identify the error made in the attempt to balance the equation.

STEP 2

Examine the original unbalanced equation.
$16 \div 8 = 16 \div 8 - 1$

STEP 3

Evaluate both sides of the original unbalanced equation separately.
Left-hand side (LHS):
$16 \div 8 = 2$
Right-hand side (RHS):
$16 \div 8 - 1 = 2 - 1 = 1$

STEP 4

Compare the results from STEP_3.
The LHS equals 2, and the RHS equals 1, which confirms that the original equation is indeed unbalanced.

STEP 5

Examine the friend's attempt at balancing the equation.
$16 \div 8 + 1 = 16 \div 8 - 1$

STEP 6

Evaluate both sides of the friend's balanced equation separately.
New Left-hand side (LHS):
$16 \div 8 + 1 = 2 + 1 = 3$
New Right-hand side (RHS):
$16 \div 8 - 1 = 2 - 1 = 1$

STEP 7

Compare the results from STEP_6.
The new LHS equals 3, and the new RHS equals 1, which shows that the friend's attempt did not balance the equation.

STEP 8

Identify the error made by the friend.
The friend added 1 to the left side of the original unbalanced equation, which did not correct the imbalance. The correct action would have been to either add 1 to the right side of the original equation or subtract 1 from the left side to maintain equality.

STEP 9

Choose the correct option based on the error identified in STEP_8.
The friend made the error of adding 1 to the left side of the equation.
The correct answer is: C. He added 1 to the left side.

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QuestionAnalyze your friend's work to find the error in balancing the equation 16÷8=16÷8−116 \div 8=16 \div 8-116÷8=16÷8−1.

Studdy Solution

STEP 1

STEP 2

Examine the original unbalanced equation.16÷8=16÷8−116 \div 8 = 16 \div 8 - 116÷8=16÷8−1

STEP 3

Evaluate both sides of the original unbalanced equation separately.Left-hand side (LHS):16÷8=216 \div 8 = 216÷8=2Right-hand side (RHS):16÷8−1=2−1=116 \div 8 - 1 = 2 - 1 = 116÷8−1=2−1=1

STEP 4

Compare the results from STEP_3.The LHS equals 2, and the RHS equals 1, which confirms that the original equation is indeed unbalanced.

STEP 5

Examine the friend's attempt at balancing the equation.16÷8+1=16÷8−116 \div 8 + 1 = 16 \div 8 - 116÷8+1=16÷8−1

STEP 6

Evaluate both sides of the friend's balanced equation separately.New Left-hand side (LHS):16÷8+1=2+1=316 \div 8 + 1 = 2 + 1 = 316÷8+1=2+1=3New Right-hand side (RHS):16÷8−1=2−1=116 \div 8 - 1 = 2 - 1 = 116÷8−1=2−1=1

STEP 7

Compare the results from STEP_6.The new LHS equals 3, and the new RHS equals 1, which shows that the friend's attempt did not balance the equation.

STEP 8

Identify the error made by the friend.The friend added 1 to the left side of the original unbalanced equation, which did not correct the imbalance. The correct action would have been to either add 1 to the right side of the original equation or subtract 1 from the left side to maintain equality.

STEP 9

Choose the correct option based on the error identified in STEP_8.The friend made the error of adding 1 to the left side of the equation.The correct answer is: C. He added 1 to the left side.

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QuestionAnalyze your friend's work to find the error in balancing the equation $16 \div 8=16 \div 8-1$ .

Examine the original unbalanced equation.
$16 \div 8 = 16 \div 8 - 1$

Evaluate both sides of the original unbalanced equation separately.
Left-hand side (LHS):
$16 \div 8 = 2$
Right-hand side (RHS):
$16 \div 8 - 1 = 2 - 1 = 1$

Compare the results from STEP_3.
The LHS equals 2, and the RHS equals 1, which confirms that the original equation is indeed unbalanced.

Examine the friend's attempt at balancing the equation.
$16 \div 8 + 1 = 16 \div 8 - 1$

Evaluate both sides of the friend's balanced equation separately.
New Left-hand side (LHS):
$16 \div 8 + 1 = 2 + 1 = 3$
New Right-hand side (RHS):
$16 \div 8 - 1 = 2 - 1 = 1$

Compare the results from STEP_6.
The new LHS equals 3, and the new RHS equals 1, which shows that the friend's attempt did not balance the equation.

Identify the error made by the friend.
The friend added 1 to the left side of the original unbalanced equation, which did not correct the imbalance. The correct action would have been to either add 1 to the right side of the original equation or subtract 1 from the left side to maintain equality.

Choose the correct option based on the error identified in STEP_8.
The friend made the error of adding 1 to the left side of the equation.
The correct answer is: C. He added 1 to the left side.