| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
What is \( \frac{4}{6} \) x \( \frac{4}{7} \)?
| 2\(\frac{2}{3}\) | |
| \(\frac{2}{15}\) | |
| \(\frac{3}{14}\) | |
| \(\frac{8}{21}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{6} \) x \( \frac{4}{7} \) = \( \frac{4 x 4}{6 x 7} \) = \( \frac{16}{42} \) = \(\frac{8}{21}\)
A triathlon course includes a 200m swim, a 40.3km bike ride, and a 11.8km run. What is the total length of the race course?
| 58.8km | |
| 52.3km | |
| 46.9km | |
| 65.4km |
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 + 40.3km + 11.8km
total distance = 52.3km
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
|
distributive |
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associative |
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commutative |
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.
What is \( \frac{6a^6}{8a^2} \)?
| \(\frac{3}{4}\)a12 | |
| \(\frac{3}{4}\)a8 | |
| \(\frac{3}{4}\)a\(\frac{1}{3}\) | |
| \(\frac{3}{4}\)a4 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{6a^6}{8a^2} \)
\( \frac{6}{8} \) a(6 - 2)
\(\frac{3}{4}\)a4
Which of the following is not an integer?
\({1 \over 2}\) |
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0 |
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-1 |
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1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.