Exercises: Writing and Interpreting Numerical Expressions
Work through each section in order. In sections that say "without evaluating," do not compute the value
of any expression -- describe or compare its structure using words instead.
Recall / Warm-Up
Evaluate (8 + 7) x 2.
Evaluate 6 x (10 - 4).
What does "the sum of 6 and 9" mean?
6 + 9
6 x 9
6 - 9
6 / 9
Fluency Practice
Which expression matches this description? "Add 8 and 7, then multiply by 2."
2 x (8 + 7)
8 + 7 x 2
(2 x 8) + 7
2 + (8 x 7)
Which expression matches this description? "Subtract 3 from 10."
10 - 3
3 - 10
10 + 3
3 + 10
Which expression matches this description? "Divide 20 by 4."
20 / 4
4 / 20
20 x 4
20 - 4
Which expression matches this description? "The product of 6 and 9, decreased by 4."
(6 x 9) - 4
6 x (9 - 4)
4 - (6 x 9)
(6 - 9) x 4
Which expression matches this description? "The quotient of 15 and 3, plus 7."
(15 / 3) + 7
15 / (3 + 7)
7 + (3 / 15)
(7 + 15) / 3
Which expression matches this description? "Multiply the difference of 12 and 5 by 3."
(12 - 5) x 3
12 - (5 x 3)
(5 - 12) x 3
3 x 12 - 5
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