| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
Solve for \( \frac{5!}{3!} \)
| \( \frac{1}{3024} \) | |
| 20 | |
| \( \frac{1}{6} \) | |
| 5 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{5!}{3!} \)
\( \frac{5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{5 \times 4}{1} \)
\( 5 \times 4 \)
20
Which of these numbers is a factor of 20?
| 4 | |
| 10 | |
| 40 | |
| 6 |
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.
What is (y5)4?
| y | |
| y9 | |
| y20 | |
| 4y5 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(y5)4What is \( \frac{2}{8} \) ÷ \( \frac{4}{6} \)?
| 1\(\frac{1}{2}\) | |
| \(\frac{3}{8}\) | |
| \(\frac{1}{18}\) | |
| \(\frac{1}{28}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{8} \) ÷ \( \frac{4}{6} \) = \( \frac{2}{8} \) x \( \frac{6}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{8} \) x \( \frac{6}{4} \) = \( \frac{2 x 6}{8 x 4} \) = \( \frac{12}{32} \) = \(\frac{3}{8}\)
| 0.9 | |
| 2.5 | |
| 1 | |
| 4.2 |
1