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Marianna [84]
3 years ago
8

Unit test Problem Becky tried to evaluate an expression step by step. \quad\begin{aligned} &\dfrac{4}{5} +7 -\dfrac{5}{4}\\\

\ \\ =&\dfrac{4}{5} -\dfrac{5}{4}+7&\green{\text{Step } 1} \\\\ \\ \\ =&0+7&\blue{\text{Step } 2}\\\\ \\ \\ =&7&\purple{\text{Step } 3} \\\\ \\ \\ \end{aligned} = = = ​ 5 4 ​ +7− 4 5 ​ 5 4 ​ − 4 5 ​ +7 0+7 7 ​ Step 1 Step 2 Step 3 ​ Find Becky's mistake.
Mathematics
1 answer:
vladimir2022 [97]3 years ago
3 0

Answer:

Becky's mistake was that she said \frac{4}{5} - \frac{5}{4}  = 0, while it's actually equal to -\frac{9}{4}.

Step-by-step explanation:

\quad\begin{aligned} &\dfrac{4}{5} +7 -\dfrac{5}{4}\\\\ \\ =&\dfrac{4}{5} -\dfrac{5}{4}+7&\green{\text{Step } 1} \\\\ \\ \\ =&0+7&\blue{\text{Step } 2}\\\\ \\ \\ =&7&\purple{\text{Step } 3} \\\\ \\ \\ \end{aligned}

Step 1 looks fine as she just rearranged the equation, keeping the negatives and positives right.

Step 2 is where she said that  \frac{4}{5} - \frac{5}{4}  = 0. This would only be true if we were multiplying one of the numbers by 0. So Step 2 was wrong.

Step 3 is right, as 0+7 = 7.

Hope this helped!

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Answer:

(There's a confusion here, is x 2 x times 2? The answer and explanation are based on x multiply by 2)

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Step-by-step explanation:

Substitution Method-

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y = (-2) 2 - 4

PEMDAS - parentheses; exponents; Multiplication & Division; Addition & Subtraction

we are going to multipl -2 and 2 together ---> -4

y = -4 - 4

Same sign add, different sign subtract.

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3 0
2 years ago
What are two fractions in between 3/5 and 4/5
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8 0
4 years ago
The top and bottom margins of a poster are 6 ft and the side margins are each 8 ft. If the area of printed material on the poste
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Answer:

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Step-by-step explanation:

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