## Writing Mathematical Expressions

Math is a language. Many problems will require you to “translate” math into words, or to express an English phrase in mathematical terms. We’ve provided a list below of the common terms and phrases used in mathematical expressions. Look it over, and then test your skills on the quiz!

* Addition*:

**added to**:*three added to two*is 3 + 2**plus**:*twelve plus seven*is 12 + 7**sum**:*the sum of six and four*is 6 + 4**more than**:*five more than three*is 3 + 5**increased by**:*eight increased by seven*is 8 + 7**total**:*the total of nineteen and six*is 19 + 6

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**Subtraction****subtracted from**:*three subtracted from six*is 6 − 3**minus**:*twelve minus eleven*is 12− 11**difference**:*the difference between eighteen and ten*is 18 − 10 (Difference is always positive, so put the bigger number first if both are positive.)**less than**:*six less than seventeen*is 17 − 6**decreased by**:*twenty decreased by six*is 20 − 6**fewer than**:*three fewer than seven*is 7 − 3

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**Multiplication****times**:*six times four*is 6 × 4 or 6(4)**multiplied by**:*ten multiplied by three*is 10 × 3 or 10(3)**product**:*the product of two and five*is 2 × 5 or 2(5)**groups of**:*five groups of six*is 5 × 6 or 5(6)**of**:*seven of a number*is 7*x*

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**Division****divided by**:*ten divided by two*is 10 ÷ 2 or 10/2**divided into**:*twelve divided into three*is 12 ÷ 3 or 12/3**quotient**:*the quotient of nine and three*is 9 ÷ 3 or 9/3**per**:*twenty per five*is 20 ÷ 5 or 20/5

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**Roots****root of**:*the root of four*is √4**square root of**:*the square root of sixteen*is √15**cube root of**:*the cube root of eight*is ∛8

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**Exponents****squared**:*seven squared*is 7^{2}**cubed**:*eleven cubed*is 11^{3}**to the ____ power**:*six to the fifth power*is 6^{5}**raised to the ____ power**: ten raised to the thirteenth power is 10^{13}

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**Variables****a number**:*fourteen less a number*is 14 −*x***an unknown number**:*an unknown number added to four*is 4 +*y***some number**:*seven multiplied by some number*is 7*b*