Simplify the expression 82+9(12÷3×2)−7. Explain each of your steps.
thank you
ok so it 147
I agree with oobleck
multiplication and division, if shown as consecutive operations, are done in the
order the come from left to right.
Even Google has been programmed in that correct way:
https://www.google.ca/search?rlz=1C6CHFA_enCA690CA691&sxsrf=ACYBGNSo3XeY417ZG1VFcS5yyuWFIYgCAw%3A1579819610444&source=hp&ei=WiIqXr-7GOTs_Qbq_pfgAQ&q=82%2B9%2812%C3%B73%C3%972%29%E2%88%927&oq=82%2B9%2812%C3%B73%C3%972%29%E2%88%927&gs_l=psy-ab.3...2022.2022..3755...1.0..0.178.178.0j1......0....2j1..gws-wiz.4S-qfU5skNM&ved=0ahUKEwi_0L_V5prnAhVkdt8KHWr_BRwQ4dUDCAg&uact=5
To simplify the expression 82 + 9(12 ÷ 3 × 2) − 7, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division – left to right, Addition and Subtraction – left to right). Let's break down each step:
Step 1: Begin with the parentheses.
Inside the parentheses, we have the expression 12 ÷ 3 × 2. According to the order of operations, we need to perform the division first, and then multiplication.
12 ÷ 3 × 2 = 4 × 2 = 8
So, the expression now becomes 82 + 9(8) - 7.
Step 2: Perform the multiplication.
Multiply 9 by 8.
9(8) = 72
The expression now becomes 82 + 72 - 7.
Step 3: Perform the addition and subtraction, from left to right.
82 + 72 - 7 equals 154.
So, the final simplified expression is 154.
review the order of operations, sometimes called PEMDAS
82+9(12÷3×2)−7
inside parens first:
82+9(4×2)−7
82+9(8)−7
82+72-7
154-7
147