| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
Convert b-2 to remove the negative exponent.
| \( \frac{1}{b^2} \) | |
| \( \frac{-1}{-2b^{2}} \) | |
| \( \frac{1}{b^{-2}} \) | |
| \( \frac{-1}{b^{-2}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
What is \( \sqrt{\frac{36}{4}} \)?
| 1 | |
| 3 | |
| \(\frac{2}{7}\) | |
| 4\(\frac{1}{2}\) |
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:
\( \sqrt{\frac{36}{4}} \)
\( \frac{\sqrt{36}}{\sqrt{4}} \)
\( \frac{\sqrt{6^2}}{\sqrt{2^2}} \)
\( \frac{6}{2} \)
3
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Bob buys two shirts, each with a regular price of $46, how much will he pay for both shirts?
| $71.30 | |
| $20.70 | |
| $59.80 | |
| $50.60 |
By buying two shirts, Bob will save $46 x \( \frac{45}{100} \) = \( \frac{$46 x 45}{100} \) = \( \frac{$2070}{100} \) = $20.70 on the second shirt.
So, his total cost will be
$46.00 + ($46.00 - $20.70)
$46.00 + $25.30
$71.30
Convert 4,787,000 to scientific notation.
| 47.87 x 105 | |
| 4.787 x 105 | |
| 4.787 x 106 | |
| 4.787 x 107 |
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:
4,787,000 in scientific notation is 4.787 x 106
A triathlon course includes a 300m swim, a 20.5km bike ride, and a 5.9km run. What is the total length of the race course?
| 26.7km | |
| 44.3km | |
| 50.8km | |
| 35.2km |
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 + 20.5km + 5.9km
total distance = 26.7km