| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
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The __________ is the greatest factor that divides two integers.
greatest common factor |
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least common multiple |
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greatest common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \frac{2}{8} \) ÷ \( \frac{3}{7} \)?
| \(\frac{1}{8}\) | |
| \(\frac{7}{12}\) | |
| 1\(\frac{3}{4}\) | |
| \(\frac{16}{45}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{8} \) ÷ \( \frac{3}{7} \) = \( \frac{2}{8} \) x \( \frac{7}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{7}{3} \) = \( \frac{2 x 7}{8 x 3} \) = \( \frac{14}{24} \) = \(\frac{7}{12}\)
A triathlon course includes a 200m swim, a 30.5km bike ride, and a 7.5km run. What is the total length of the race course?
| 38.2km | |
| 50.5km | |
| 52.4km | |
| 43.4km |
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 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.2km + 30.5km + 7.5km
total distance = 38.2km
Which of the following is not a prime number?
5 |
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7 |
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9 |
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2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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distributive |
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PEDMAS |
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associative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.