| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.45 |
| Score | 0% | 69% |
If all of a roofing company's 12 workers are required to staff 3 roofing crews, how many workers need to be added during the busy season in order to send 7 complete crews out on jobs?
| 9 | |
| 16 | |
| 5 | |
| 18 |
In order to find how many additional workers are needed to staff the extra crews you first need to calculate how many workers are on a crew. There are 12 workers at the company now and that's enough to staff 3 crews so there are \( \frac{12}{3} \) = 4 workers on a crew. 7 crews are needed for the busy season which, at 4 workers per crew, means that the roofing company will need 7 x 4 = 28 total workers to staff the crews during the busy season. The company already employs 12 workers so they need to add 28 - 12 = 16 new staff for the busy season.
Convert 0.0005395 to scientific notation.
| 5.395 x 105 | |
| 5.395 x 104 | |
| 5.395 x 10-3 | |
| 5.395 x 10-4 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0005395 in scientific notation is 5.395 x 10-4
Which of the following is not an integer?
0 |
|
1 |
|
\({1 \over 2}\) |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{2}{5} \) ÷ \( \frac{4}{9} \)?
| \(\frac{9}{10}\) | |
| 3\(\frac{3}{5}\) | |
| \(\frac{1}{4}\) | |
| 4\(\frac{1}{2}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{5} \) ÷ \( \frac{4}{9} \) = \( \frac{2}{5} \) x \( \frac{9}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{5} \) x \( \frac{9}{4} \) = \( \frac{2 x 9}{5 x 4} \) = \( \frac{18}{20} \) = \(\frac{9}{10}\)
A factor is a positive __________ that divides evenly into a given number.
mixed number |
|
improper fraction |
|
fraction |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.