example
Translate and simplify: the product of [latex]12[/latex] and [latex]27[/latex].
Solution:
The word
product tells us to multiply. The words
of [latex]12[/latex]
and [latex]27[/latex] tell us the two factors.
|
the product of [latex]12[/latex] and [latex]27[/latex] |
| Translate. |
[latex]12\cdot 27[/latex] |
| Multiply. |
[latex]324[/latex] |
example
Translate and simplify: twice two hundred eleven.
Answer:
Solution:
The word twice tells us to multiply by [latex]2[/latex].
|
twice two hundred eleven |
| Translate. |
[latex]2(211)[/latex] |
| Multiply. |
[latex]422[/latex] |
example
Humberto bought [latex]4[/latex] sheets of stamps. Each sheet had [latex]20[/latex] stamps. How many stamps did Humberto buy?
Answer:
Solution:
We are asked to find the total number of stamps.
| Write a phrase for the total. |
the product of [latex]4[/latex] and [latex]20[/latex] |
| Translate to math notation. |
[latex]4\cdot 20[/latex] |
| Multiply. |
 |
| Write a sentence to answer the question. |
Humberto bought [latex]80[/latex] stamps. |
example
When Rena cooks rice, she uses twice as much water as rice. How much water does she need to cook [latex]4[/latex] cups of rice?
Answer:
Solution:
We are asked to find how much water Rena needs.
| Write as a phrase. |
twice as much as 4 cups |
| Translate to math notation. |
[latex]2\cdot 4[/latex] |
| Multiply to simplify. |
[latex]8[/latex] |
| Write a sentence to answer the question. |
Rena needs [latex]8[/latex] cups of water for cups of rice. |
example
Van is planning to build a patio. He will have [latex]8[/latex] rows of tiles, with [latex]14[/latex] tiles in each row. How many tiles does he need for the patio?
Answer:
Solution:
We are asked to find the total number of tiles.
| Write a phrase. |
the product of [latex]8[/latex] and [latex]14[/latex] |
| Translate to math notation. |
[latex]8\cdot 14[/latex] |
| Multiply to simplify. |
[latex]\begin{array}{c}\\ \stackrel{3}{1}4\hfill \\ \underset{\text{___}}{\times 8}\hfill \\ 112\hfill \end{array}[/latex] |
| Write a sentence to answer the question. |
Van needs [latex]112[/latex] tiles for his patio. |
If we want to know the size of a wall that needs to be painted or a floor that needs to be carpeted, we will need to find its area. The area is a measure of the amount of surface that is covered by the shape. Area is measured in square units. We often use square inches, square feet, square centimeters, or square miles to measure area. A square centimeter is a square that is one centimeter (cm.) on a side. A square inch is a square that is one inch on each side, and so on.
example
Jen’s kitchen ceiling is a rectangle that measures [latex]9[/latex] feet long by [latex]12[/latex] feet wide. What is the area of Jen’s kitchen ceiling?
Answer:
Solution:
We are asked to find the area of the kitchen ceiling.
| Write a phrase for the area. |
the product of [latex]9[/latex] and [latex]12[/latex] |
| Translate to math notation. |
[latex]9\cdot 12[/latex] |
| Multiply. |
[latex]\begin{array}{c}\\ \stackrel{1}{1}2\hfill \\ \underset{\text{___}}{\times 9}\hfill \\ 108\hfill \end{array}[/latex] |
| Answer with a sentence. |
The area of Jen's kitchen ceiling is [latex]108[/latex] square feet. |
In the following video we show another example of using multiplication to solve application problems.
https://youtu.be/xTX4pVOblnA
For a rectangular figure, the area is the product of the length and the width. The figure below shows a rectangular rug with a length of [latex]2[/latex] feet and a width of [latex]3[/latex] feet. Each square is [latex]1[/latex] foot wide by [latex]1[/latex] foot long, or [latex]1[/latex] square foot. The rug is made of [latex]6[/latex] squares. The area of the rug is [latex]6[/latex] square feet.
The area of a rectangle is the product of its length and its width, or [latex]6[/latex] square feet.
