Interpreting Numerical Expressions

Core Concepts

Practice reading mathematical expressions and describing them with words, like telling a story.

Next Steps in Simple Algebraic Expressions
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Using Parentheses in Expressions
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Evaluating Numerical Expressions
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Interpreting Numerical Expressions

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How would you describe the expression \(14 + 7\) in words?
"The sum of \(14\) and \(7\)", or "\(7\) more than \(14\)".
How would you describe the expression \(30 - 12\) in words?
"The difference between \(30\) and \(12\)", or "\(12\) less than \(30\)".
How would you describe the expression \(6 \times 9\) in words?
"The product of \(6\) and \(9\)", or "\(6\) times \(9\)".
How would you describe the expression \(48 \div 8\) in words?
"The quotient of \(48\) and \(8\)", or "\(48\) divided by \(8\)".
How would you describe the expression \(5 \times (2 + 4)\) in words?
"Five times the sum of \(2\) and \(4\)". You find the sum first because it's in parentheses.
How would you describe the expression \((18 - 3) \div 5\) in words?
"The difference of \(18\) and \(3\), divided by \(5\)". You find the difference first.
How would you describe the expression \(7 + (8 \times 2)\) in words?
"Seven added to the product of \(8\) and \(2\)".
How does the expression \(2 \times 3 + 4\) differ from \(2 \times (3 + 4)\)?
\(2 \times 3 + 4\) means "add \(4\) to the product of \(2\) and \(3\)", which equals \(10\). \(2 \times (3 + 4)\) means "multiply \(2\) by the sum of \(3\) and \(4\)", which equals \(14\).
How would you describe \((9 + 3) \div (2 + 2)\) in words?
"The sum of \(9\) and \(3\) divided by the sum of \(2\) and \(2\)".
What calculation is performed first in the expression \(100 - 5 \times 10\)?
Multiplication is performed before subtraction, so you would calculate \(5 \times 10\) first.
What calculation is performed first in the expression \((100 - 5) \times 10\)?
The operation in the parentheses is performed first, so you would calculate \(100 - 5\) first.
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