| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
Convert 0.000171 to scientific notation.
| 17.1 x 10-5 | |
| 1.71 x 105 | |
| 1.71 x 10-3 | |
| 1.71 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:
0.000171 in scientific notation is 1.71 x 10-4
What is the least common multiple of 2 and 6?
| 6 | |
| 8 | |
| 1 | |
| 10 |
The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 have in common.
How many 2 gallon cans worth of fuel would you need to pour into an empty 16 gallon tank to fill it exactly halfway?
| 2 | |
| 3 | |
| 4 | |
| 8 |
To fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:
cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4
| 4.0 | |
| 3.0 | |
| 1 | |
| 2.1 |
1
If a mayor is elected with 85% of the votes cast and 69% of a town's 43,000 voters cast a vote, how many votes did the mayor receive?
| 23,439 | |
| 18,989 | |
| 21,066 | |
| 25,220 |
If 69% of the town's 43,000 voters cast ballots the number of votes cast is:
(\( \frac{69}{100} \)) x 43,000 = \( \frac{2,967,000}{100} \) = 29,670
The mayor got 85% of the votes cast which is:
(\( \frac{85}{100} \)) x 29,670 = \( \frac{2,521,950}{100} \) = 25,220 votes.