| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Which of the following statements about exponents is false?
b1 = 1 |
|
all of these are false |
|
b0 = 1 |
|
b1 = b |
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).
Convert 0.0009745 to scientific notation.
| 0.974 x 10-3 | |
| 97.45 x 10-5 | |
| 9.745 x 10-3 | |
| 9.745 x 10-4 |
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:
0.0009745 in scientific notation is 9.745 x 10-4
What is \( \sqrt{\frac{16}{4}} \)?
| \(\frac{7}{9}\) | |
| 1 | |
| 2 | |
| \(\frac{5}{8}\) |
To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:
\( \sqrt{\frac{16}{4}} \)
\( \frac{\sqrt{16}}{\sqrt{4}} \)
\( \frac{\sqrt{4^2}}{\sqrt{2^2}} \)
\( \frac{4}{2} \)
2
If a car travels 315 miles in 9 hours, what is the average speed?
| 25 mph | |
| 20 mph | |
| 40 mph | |
| 35 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)The __________ is the greatest factor that divides two integers.
absolute value |
|
least common multiple |
|
greatest common factor |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.