| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
A triathlon course includes a 300m swim, a 40.3km bike ride, and a 12.8km run. What is the total length of the race course?
| 34km | |
| 45.3km | |
| 53.4km | |
| 40.9km |
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 + 40.3km + 12.8km
total distance = 53.4km
What is (z5)4?
| z | |
| z20 | |
| 4z5 | |
| z-1 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)4Convert 5,747,000 to scientific notation.
| 5.747 x 105 | |
| 5.747 x 106 | |
| 57.47 x 105 | |
| 5.747 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
5,747,000 in scientific notation is 5.747 x 106
| 6.4 | |
| 1 | |
| 2.0 | |
| 1.5 |
1
Which of the following statements about exponents is false?
b1 = b |
|
b0 = 1 |
|
b1 = 1 |
|
all of these are false |
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).