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When there are three or more factors, we multiply the first two and then multiply their product by the next factor. For example:
| to multiply | |
| first multiply | |
| then multiply . |
Earlier in this section, 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 [link] .
| Operation | Word Phrase | Example | Expression |
|---|---|---|---|
| Multiplication | times
product twice |
times
the product of and twice |
|
Translate and simplify: the product of and
The word product tells us to multiply. The words of and tell us the two factors.
| the product of 12 and 27 | |
| Translate. | |
| Multiply. |
Translate and simplify: twice two hundred eleven.
The word twice tells us to multiply by
| twice two hundred eleven | |
| Translate. | 2(211) |
| Multiply. | 422 |
Translate and simplify: twice one hundred sixty-seven.
2(167); 334
Translate and simplify: twice two hundred fifty-eight.
2(258); 516
We will use the same strategy we used previously to solve applications of multiplication. First, we need to determine what we are looking for. Then we write a phrase that gives the information to find it. We then translate the phrase into math notation and simplify to get the answer. Finally, we write a sentence to answer the question.
Humberto bought sheets of stamps. Each sheet had stamps. How many stamps did Humberto buy?
We are asked to find the total number of stamps.
| Write a phrase for the total. | the product of 4 and 20 |
| Translate to math notation. | |
| Multiply. | |
| Write a sentence to answer the question. | Humberto bought 80 stamps. |
Valia donated water for the snack bar at her son’s baseball game. She brought cases of water bottles. Each case had water bottles. How many water bottles did Valia donate?
Valia donated 144 water bottles.
Vanessa brought packs of hot dogs to a family reunion. Each pack has hot dogs. How many hot dogs did Vanessa bring?
Vanessa bought 80 hot dogs.
When Rena cooks rice, she uses twice as much water as rice. How much water does she need to cook cups of rice?
We are asked to find how much water Rena needs.
| Write as a phrase. | twice as much as 4 cups |
| Translate to math notation. | |
| Multiply to simplify. | 8 |
| Write a sentence to answer the question. | Rena needs 8 cups of water for cups of rice. |
Erin is planning her flower garden. She wants to plant twice as many dahlias as sunflowers. If she plants 14 sunflowers, how many dahlias does she need?
Erin needs 28 dahlias.
A college choir has twice as many women as men. There are 18 men in the choir. How many women are in the choir?
There are 36 women in the choir.
Van is planning to build a patio. He will have rows of tiles, with tiles in each row. How many tiles does he need for the patio?
We are asked to find the total number of tiles.
| Write a phrase. | the product of 8 and 14 |
| Translate to math notation. | |
| Multiply to simplify. | |
| Write a sentence to answer the question. | Van needs 112 tiles for his patio. |
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