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I can add 3 and 7 to make 10 then 5 to make 15. Or I can add 7 and 5 to make 12 then 3 to make 15. The order does not matter.
The order does matter. (3 + 2) x 4 = 5 x 4 = 20 and 3 + (2 x 4) = 3 + 8 = 11.
4 + 2 x 5
Sample answer: Scientists need to evaluate expressions to calculate important numbers. If two scientists do the same calculation, they need to get the same answer.
Sample answer: I multiply and divide first. If there is more than one multiplication or division I calculate left to right. Then I add or subtract, left to right.
(5 – 2) – 1 = 2 and 5 – (2 – 1) = 4. You do not get the same value. In the first example, you subtract 2 from 5 first and then subtract 1. In the second example, you subtract 1 from 2 and then you subtract that answer from 5. This results in different answers for the two expressions.
Add 6 + 2 to get 8. Subtract 3 from 8 to get 5. Multiply 5 x 8 to get 40.
(5 + 3) x (15 – 13)
6 6/8 or 6 3/4
65 – (15 + 30)
The order of operations is a set of rules for deciding in what order to perform the operations when evaluating an expression.
Parentheses are used to show grouping in an expression.
Brackets are used to show grouping in an expression.
An expression is a mathematical sentence with numbers, variables, and/or operations.
The operations are addition, subtraction, multiplication, and division.
Evaluate this expression: (7 + 3) x (6 ÷ 3)
What is the numerical expression for four times the result of subtracting four from seven?
Put parentheses in this expression so it has a value of 2: 7 + 5 ÷ 6
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