Earlier in this section, we translated math notation for division into words. Now we’ll translate word phrases into math notation. Some of the words that indicate division are given in
[link] .
Operation
Word Phrase
Example
Expression
Division
divided by
quotient of
divided into
divided by
the quotient of
and
divided into
Translate and simplify: the quotient of
and
Solution
The word
quotient tells us to divide.
We could just as correctly have translated
the quotient ofand
using the notation
We will use the same strategy we used in previous sections to solve applications. First, we 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 it to get the answer. Finally, we write a sentence to answer the question.
Cecelia bought a
box of oatmeal at the big box store. She wants to divide the
ounces of oatmeal into
servings. She will put each serving into a plastic bag so she can take one bag to work each day. How many servings will she get from the big box?
Solution
We are asked to find the how many servings she will get from the big box.
Marcus is setting out animal crackers for snacks at the preschool. He wants to put
crackers in each cup. One box of animal crackers contains
crackers. How many cups can he fill from one box of crackers?
Andrea is making bows for the girls in her dance class to wear at the recital. Each bow takes
feet of ribbon, and
feet of ribbon are on one spool. How many bows can Andrea make from one spool of ribbon?
Changing the order of the factors does not change their product.
Multiply two whole numbers to find the product.
Write the numbers so each place value lines up vertically.
Multiply the digits in each place value.
Work from right to left, starting with the ones place in the bottom number.
Multiply the bottom number by the ones digit in the top number, then by the tens digit, and so on.
If a product in a place value is more than 9, carry to the next place value.
Write the partial products, lining up the digits in the place values with the numbers above. Repeat for the tens place in the bottom number, the hundreds place, and so on.
Insert a zero as a placeholder with each additional partial product.
Add the partial products.
Questions & Answers
if three forces F1.f2 .f3 act at a point on a Cartesian plane in the daigram .....so if the question says write down the x and y components ..... I really don't understand
a fixed gas of a mass is held at standard pressure temperature of 15 degrees Celsius .Calculate the temperature of the gas in Celsius if the pressure is changed to 2×10 to the power 4