Stephen tried to evaluate the expression [8+6\times 2] \div 4[8+6×2]÷4open bracket, 8, plus, 6, times, 2, close bracket, divided by, 4. His work is below.
\begin{aligned} &\phantom{=}[8+6\times 2] \div 4\\\\ \text{Step }1:\quad&=[8 +12] \div 4 \\\\ \text{Step }2:\quad&=8+3 \\\\ \text{Step }3:\quad&=11 \end{aligned}
Step 1:
Step 2:
Step 3:
=[8+6×2]÷4
=[8+12]÷4
=8+3
=11
In which step did Stephen first make a mistake?
Answers
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Step-by-step explanation:
Answer:
Heya Here's your answer mate
The answer is 16
The expression can be simplified by the order of operations, often remembered by the acronyms PEMDAS/BODMAS.
First evaluate Parentheses/Brackets, then evaluate Exponents/Orders, then evaluate Multiplication-Division, and finally evaluate Addition-Subtraction.
The answer is 16
If you type 8÷2(4) into a calculator, the input has to be parsed and then computed. Most calculators will convert the parentheses into an implied multiplication, so we get
8÷2(4)
= 8÷2×4
According to the order of operations, division and multiplication have the same precedence, so the correct order is to evaluate from left to right. First take 8 and divide it by 2, and then multiply by 2.
8÷2×4
= 4×4
= 16
This gets to the correct answer of 16.
hope it helps you
Step-by-step explanation:
Stephen made mistake in third step because according to bodmas , first have to solve the number inside the bracket ..
Soln is ,
=>[8+6×2]÷4
=>[8+12]÷4
=>20/4
=>5
5 is the answer