| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
What is \( \frac{2}{5} \) x \( \frac{3}{6} \)?
| \(\frac{3}{56}\) | |
| \(\frac{1}{5}\) | |
| \(\frac{3}{64}\) | |
| 1\(\frac{1}{5}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{5} \) x \( \frac{3}{6} \) = \( \frac{2 x 3}{5 x 6} \) = \( \frac{6}{30} \) = \(\frac{1}{5}\)
Which of the following statements about exponents is false?
b1 = 1 |
|
all of these are false |
|
b1 = b |
|
b0 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
| 3.2 | |
| 1.5 | |
| 1 | |
| 5.6 |
1
A triathlon course includes a 500m swim, a 20.8km bike ride, and a 13.0km run. What is the total length of the race course?
| 61.9km | |
| 46.5km | |
| 34.3km | |
| 40.5km |
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 + 20.8km + 13.0km
total distance = 34.3km
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
|
a = 7 |
|
a = 7 or a = -7 |
|
a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).