Question

Abott simplified an expression. His work is shown below.




Step 1

Step 2

Step 3

Step 4
45.5



In which step did Abott make his first mistake?
step 1
step 2
step 3
step 4
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Answer 1

Abott make his first mistake in step 2

Further explanation

Calculation operations include multiply, divide, add, substract, etc.

In mathematical operations we can use the order of operation / calculation according to the principle of PEMDAS

• P: Parentheses ⇒ ( )
• E: Exponents (powers, square roots, etc.)⇒√,²
• MD: Multiplication and Division ⇒ x and :
• AS: Addition and Subtraction ⇒ + and -

Multiplication and division or addition and subtraction are interchangeable/rank equally so the calculations/equation operations should be done from left to right

Abbot expression :

9.5 : 0.25 + + 4(0.25+0.5) + 6

Step 1 : 9.5 : 0.25 + + 4(0.75) + 6

Step 2 : 38 + 10(0.75)

Step 3 : 38 + 7.5

Step 4 : 45.5

From the Abott steps it can be concluded that the error occurred in step 2, because the number 4 must be multiplied first with the number in parentheses (ie 0.75)

The correct steps should:

step 1: Step 1: 9.5: 0.25 + 4 (0.75) + 6

Step 2: 38 + 3 + 6

Step 3: 38 + 9

Step 4: 47

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PEMDAS

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Keywords : PEMDAS, an expression, Abott, step, mistake

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Answer 2

Answer:

Its B

Step-by-step explanation: