| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
4! = ?
4 x 3 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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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.
A triathlon course includes a 500m swim, a 20.5km bike ride, and a 11.700000000000001km run. What is the total length of the race course?
| 61.9km | |
| 32.7km | |
| 35.7km | |
| 62.9km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 20.5km + 11.700000000000001km
total distance = 32.7km
What is \( \frac{2}{8} \) x \( \frac{2}{6} \)?
| \(\frac{4}{27}\) | |
| \(\frac{1}{12}\) | |
| \(\frac{2}{3}\) | |
| \(\frac{1}{14}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{2}{6} \) = \( \frac{2 x 2}{8 x 6} \) = \( \frac{4}{48} \) = \(\frac{1}{12}\)
Convert 7,959,000 to scientific notation.
| 79.59 x 105 | |
| 7.959 x 107 | |
| 7.959 x 106 | |
| 7.959 x 10-6 |
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:
7,959,000 in scientific notation is 7.959 x 106
A factor is a positive __________ that divides evenly into a given number.
fraction |
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mixed number |
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improper fraction |
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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.