| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
4! = ?
4 x 3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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3 x 2 x 1 |
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4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
| 1 | |
| 1.8 | |
| 5.6 | |
| 2.1 |
1
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
PEDMAS |
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distributive |
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associative |
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commutative |
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.
Solve for \( \frac{4!}{2!} \)
| 9 | |
| 12 | |
| 840 | |
| 6720 |
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:
\( \frac{4!}{2!} \)
\( \frac{4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{4 \times 3}{1} \)
\( 4 \times 3 \)
12
What is \( \frac{1}{9} \) x \( \frac{4}{5} \)?
| \(\frac{8}{35}\) | |
| \(\frac{1}{12}\) | |
| \(\frac{4}{25}\) | |
| \(\frac{4}{45}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{4}{5} \) = \( \frac{1 x 4}{9 x 5} \) = \( \frac{4}{45} \) = \(\frac{4}{45}\)