review the problem that george worked on he was simplifying an expression but made a mistake working on the following problem what mistake did he make when applying the steps of pemdas,
8 ÷ 2³ - 16 ÷ 2
4³ - 16 ÷ 2
64 - 16 ÷ 2
48 ÷ 2
24
Im real bad at Pemdas stuff, I'd be real grateful if someone could help me out D:
Certainly! I'd be happy to help you out with the problem George worked on.
To review, George was simplifying the expression: 8 ÷ 2³ - 16 ÷ 2.
The mistake George made when applying the steps of PEMDAS (or the order of operations) is in the first step.
According to PEMDAS, you need to start with any operations inside parentheses, then evaluate exponents, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Let's break down the correct steps:
1. Exponents: Evaluate any exponents in the expression.
- 2³ = 2 * 2 * 2 = 8.
So the expression becomes: 8 ÷ 8 - 16 ÷ 2.
2. Division: Perform any divisions from left to right.
- 8 ÷ 8 = 1 (since 8 divided by 8 is equal to 1).
- 16 ÷ 2 = 8 (since 16 divided by 2 is equal to 8).
Now the expression becomes: 1 - 8.
3. Subtraction: Perform subtraction from left to right.
- 1 - 8 = -7 (since 1 minus 8 equals -7).
Therefore, the correct simplification of the expression is -7.
So, the mistake that George made was not evaluating the exponent (2³) correctly. Instead of getting 8, he mistakenly treated it as 4³. This resulted in an incorrect simplification of the expression and gave him the answer of 24 instead of the correct answer of -7.
The problem has no parentheses, so start with the exponent.
parentheses
exponents
multiply
divide
add
subtract