| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Which of these numbers is a factor of 36?
| 18 | |
| 28 | |
| 34 | |
| 1 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
Convert 1,948,000 to scientific notation.
| 1.948 x 10-6 | |
| 1.948 x 107 | |
| 19.48 x 105 | |
| 1.948 x 106 |
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:
1,948,000 in scientific notation is 1.948 x 106
Convert c-3 to remove the negative exponent.
| \( \frac{3}{c} \) | |
| \( \frac{1}{c^3} \) | |
| \( \frac{1}{c^{-3}} \) | |
| \( \frac{-3}{-c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( \frac{6y^8}{2y^2} \)?
| 3y-6 | |
| 3y\(\frac{1}{4}\) | |
| 3y6 | |
| 3y16 |
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:
\( \frac{6y^8}{2y^2} \)
\( \frac{6}{2} \) y(8 - 2)
3y6
How many hours does it take a car to travel 385 miles at an average speed of 55 miles per hour?
| 7 hours | |
| 5 hours | |
| 3 hours | |
| 6 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{385mi}{55mph} \)
7 hours