| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.82 |
| Score | 0% | 76% |
Which of the following is a mixed number?
\({7 \over 5} \) |
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\({5 \over 7} \) |
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\(1 {2 \over 5} \) |
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\({a \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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integer |
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mixed number |
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.
If a car travels 525 miles in 7 hours, what is the average speed?
| 75 mph | |
| 40 mph | |
| 15 mph | |
| 50 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Convert y-2 to remove the negative exponent.
| \( \frac{2}{y} \) | |
| \( \frac{-1}{-2y} \) | |
| \( \frac{1}{y^2} \) | |
| \( \frac{-1}{-2y^{2}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Solve for \( \frac{4!}{3!} \)
| 210 | |
| 15120 | |
| 4 | |
| 9 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{4!}{3!} \)
\( \frac{4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{4}{1} \)
4