| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
| 1 | |
| 4.0 | |
| 8.0 | |
| 1.4 |
1
Which of the following statements about exponents is false?
b0 = 1 |
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b1 = b |
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all of these are false |
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b1 = 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).
Which of the following is a mixed number?
\({7 \over 5} \) |
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\(1 {2 \over 5} \) |
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\({a \over 5} \) |
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\({5 \over 7} \) |
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.
A triathlon course includes a 300m swim, a 30.1km bike ride, and a 3.3km run. What is the total length of the race course?
| 33.1km | |
| 53km | |
| 33.7km | |
| 51.5km |
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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 30.1km + 3.3km
total distance = 33.7km
What is (b5)2?
| b-3 | |
| b7 | |
| b10 | |
| 2b5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b5)2