Translate Word Phrases to Math

Translating Word Phrases to Math Notation: In a previous lesson, we translated math notation into words. Now we’ll reverse the process and translate word phrases into math notation. Some of the words that indicate multiplication are given in the table ...

Translate Word Phrases to Math Notation

In a previous lesson, we translated math notation into words. Now we’ll reverse the process and translate word phrases into math notation. Some of the words that indicate multiplication are given in the table below.

Operation Word Phrase Example Expression
Multiplication times
product
twice
\(3\) times \(8\)
the product of \(3\) and \(8\)
twice \(4\)
\(3\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}8,3·8,\left(3\right)\left(8\right),\)
\(\left(3\right)8,\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}3\left(8\right)\)
\(2·4\)

Example

Translate and simplify: the product of \(12\) and \(27.\)

Solution

The word product tells us to multiply. The words of \(12\) and \(27\) tell us the two factors.

the product of 12 and 27
Translate. \(12\cdot 27\)
Multiply. \(324\)

Extra:

Translate and simplify the product of \(13\) and \(28.\)

Answer

13 · 28; 364

Extra:

Translate and simplify the product of \(47\) and \(14.\)

Answer

47 · 14; 658

Example

Translate and simplify: twice two hundred eleven.

Solution

The word twice tells us to multiply by \(2.\)

twice two hundred eleven
Translate. 2(211)
Multiply. 422

Extra:

Translate and simplify: twice one hundred sixty-seven.

Answer

2(167); 334

Extra:

Translate and simplify: twice two hundred fifty-eight.

Answer

2(258); 516

This lesson is part of:

Introducing Numbers

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