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Which step is incorrect?

Step 1: [tex]-3(2-3 \cdot 5)-4 \div 4[/tex]

Step 2: [tex]-3(2-15)-4 \div 4[/tex]

Step 3: [tex]-3(-13)-4 \div 4[/tex]

Step 4: [tex]39-4 \div 4[/tex]

Step 5: [tex]35 \div 4[/tex]

Step 6: [tex]\frac{35}{4}=8.75[/tex]

A. Step 1
B. Step 2
C. Step 3
D. Step 4
E. Step 5
F. Step 6

Sagot :

GinnyAnsweridn
To determine which step is incorrect, let’s analyze the expression step-by-step.

1. Step 1: [tex]\( -3(2 - 3 \cdot 5) - 4 \div 4 \)[/tex]
- Calculate inside the parentheses first: [tex]\( 2 - 3 \cdot 5 = 2 - 15 = -13 \)[/tex]
- So, it simplifies to: [tex]\( -3(-13) - 4 \div 4 \)[/tex]

2. Step 2: [tex]\( -3(2 - 15) - 4 \div 4 \)[/tex]
- Already simplified from Step 1, it should be: [tex]\( -3(-13) - 4 \div 4 \)[/tex]

3. Step 3: [tex]\( -3(-13) - 4 \div 4 \)[/tex]
- Multiply [tex]\(-3\)[/tex] and [tex]\(-13\)[/tex]: [tex]\( -3 \cdot (-13) = 39 \)[/tex]
- So, it simplifies to: [tex]\( 39 - 4 \div 4 \)[/tex]

4. Step 4: [tex]\( 39 - 4 \div 4 \)[/tex]
- Division first: [tex]\( 4 \div 4 = 1 \)[/tex]
- So, it simplifies to: [tex]\( 39 - 1 = 38 \)[/tex]

5. Step 5: [tex]\( 35 \div 4 \)[/tex]
- This step is incorrect because the previous result was [tex]\( 38 \)[/tex], not [tex]\( 35 \)[/tex].

6. Step 6: [tex]\( \frac{35}{4} = 8.75 \)[/tex]
- The calculation here is correct, but it’s based on an incorrect previous step.

Therefore, Step 5 is the incorrect step. The result of the previous step should have been [tex]\( 38 \)[/tex], not [tex]\( 35 \)[/tex].
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