| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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greatest common factor |
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absolute value |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A triathlon course includes a 100m swim, a 40.9km bike ride, and a 6.4km run. What is the total length of the race course?
| 26.3km | |
| 58.1km | |
| 58.9km | |
| 47.4km |
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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 40.9km + 6.4km
total distance = 47.4km
Convert x-2 to remove the negative exponent.
| \( \frac{-2}{x} \) | |
| \( \frac{-1}{-2x} \) | |
| \( \frac{1}{x^2} \) | |
| \( \frac{-1}{x^{-2}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is the greatest common factor of 72 and 72?
| 62 | |
| 72 | |
| 64 | |
| 7 |
The factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 12 factors [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72] making 72 the greatest factor 72 and 72 have in common.
Which of the following is a mixed number?
\({7 \over 5} \) |
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\(1 {2 \over 5} \) |
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\({5 \over 7} \) |
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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.