Writing Numerical Expressions

Foundational

Learn to translate word phrases into mathematical expressions using numbers and operation symbols.

Writing Numerical Expressions

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Write an expression for: "the sum of $8$ and $7$"

$$ 8 + 7 $$

Write an expression for: "the difference between $15$ and $6$"

$$ 15 - 6 $$

Write an expression for: "the product of $9$ and $5$"

$$ 9 \times 5 $$

Write an expression for: "the quotient of $45$ and $9$"

$$ 45 \div 9 $$

Write an expression for: "subtract $4$ from $12$"

$$ 12 - 4 $$

Write an expression for: "$20$ divided by $5$"

$$ 20 \div 5 $$

Write an expression for: "add $6$ to the product of $3$ and $7$"

The product is found first, so the expression is: $$ (3 \times 7) + 6 $$ or simply $$ 3 \times 7 + 6 $$

Write an expression for: "multiply the sum of $4$ and $2$ by $8$"

The sum must be found first, so you need parentheses: $$ (4 + 2) \times 8 $$

Write an expression for: "subtract $10$ from the quotient of $50$ and $5$"

The quotient is found first: $$ (50 \div 5) - 10 $$

Write an expression for: "divide $24$ by the difference of $10$ and $4$"

The difference must be found first, so use parentheses: $$ 24 \div (10 - 4) $$

Write an expression for: "twice the sum of $9$ and $1$"

'Twice' means to multiply by $2$. The sum is done first: $$ 2 \times (9 + 1) $$

Write an expression for: "half of the difference between $20$ and $10$"

'Half of' means to divide by $2$. The difference is done first: $$ (20 - 10) \div 2 $$

Write an expression for: "the sum of $5$ times $2$ and $3$ times $4$"

This involves two separate products that are then added: $$ (5 \times 2) + (3 \times 4) $$

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