| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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commutative |
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PEDMAS |
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distributive |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
What is \( \frac{4}{5} \) ÷ \( \frac{2}{8} \)?
| \(\frac{4}{15}\) | |
| \(\frac{1}{16}\) | |
| 3\(\frac{1}{5}\) | |
| \(\frac{6}{25}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{5} \) ÷ \( \frac{2}{8} \) = \( \frac{4}{5} \) x \( \frac{8}{2} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{5} \) x \( \frac{8}{2} \) = \( \frac{4 x 8}{5 x 2} \) = \( \frac{32}{10} \) = 3\(\frac{1}{5}\)
How many hours does it take a car to travel 240 miles at an average speed of 40 miles per hour?
| 7 hours | |
| 6 hours | |
| 8 hours | |
| 9 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 = \( \frac{240mi}{40mph} \)
6 hours
Simplify \( \sqrt{12} \)
| 2\( \sqrt{3} \) | |
| 9\( \sqrt{3} \) | |
| 5\( \sqrt{6} \) | |
| 6\( \sqrt{6} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{12} \)
\( \sqrt{4 \times 3} \)
\( \sqrt{2^2 \times 3} \)
2\( \sqrt{3} \)
Which of these numbers is a factor of 20?
| 4 | |
| 3 | |
| 22 | |
| 2 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.