sarah is given the numbers 4, 1, 2, and 4 to make 6. she has entered the following number sentence on her calculator. 4+(1+4)/2.
will she get the expected 6? if not, how can she correct her mistake?
show your work
Let's solve the number sentence step by step:
First, we solve the expressions inside the parentheses: 1 + 4 = 5.
Then, we divide 5 by 2: 5 / 2 = 2.5.
Finally, we add 4 to 2.5: 4 + 2.5 = 6.5.
Therefore, Sarah will not get the expected 6 with her current number sentence of 4 + (1 + 4) / 2. To correct her mistake, Sarah needs to change her number sentence.
One possible correct number sentence could be: (4 + 1 + 4) / 2.
Let's solve the corrected number sentence step by step:
First, we add 4, 1, and 4: 4 + 1 + 4 = 9.
Then, we divide 9 by 2: 9 / 2 = 4.5.
Therefore, by using the corrected number sentence, Sarah will get the expected 6 by calculating (4 + 1 + 4) / 2.
To determine if Sarah will get the expected result of 6, let's evaluate the given number sentence step-by-step:
Step 1: Evaluate the expression inside parentheses:
(1 + 4) = 5
Step 2: Divide the result from Step 1 by 2:
5/2 = 2.5
Step 3: Add 4 to the result from Step 2:
4 + 2.5 = 6.5
Based on the calculations, Sarah would not get the expected result of 6 from the given number sentence.
To correct her mistake, Sarah can rearrange the number sentence to ensure the correct calculation. One possible correction could be:
(4 + 1 + 4) / 2
= 9 / 2
= 4.5
If Sarah wants to achieve the expected result of 6, she can try a different combination of the given numbers or use different operators.