| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common multiple |
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absolute value |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
4! = ?
3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 |
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4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
What is \( \frac{2}{5} \) x \( \frac{1}{9} \)?
| \(\frac{1}{40}\) | |
| \(\frac{4}{21}\) | |
| \(\frac{2}{5}\) | |
| \(\frac{2}{45}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{5} \) x \( \frac{1}{9} \) = \( \frac{2 x 1}{5 x 9} \) = \( \frac{2}{45} \) = \(\frac{2}{45}\)
Simplify \( \sqrt{45} \)
| 7\( \sqrt{5} \) | |
| 7\( \sqrt{10} \) | |
| 9\( \sqrt{10} \) | |
| 3\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{45} \)
\( \sqrt{9 \times 5} \)
\( \sqrt{3^2 \times 5} \)
3\( \sqrt{5} \)
If a car travels 360 miles in 9 hours, what is the average speed?
| 55 mph | |
| 40 mph | |
| 25 mph | |
| 45 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)