| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
Solve for \( \frac{3!}{4!} \)
| 504 | |
| 42 | |
| \( \frac{1}{4} \) | |
| 3024 |
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:
\( \frac{3!}{4!} \)
\( \frac{3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4} \)
\( \frac{1}{4} \)
What is (a3)3?
| a9 | |
| a0 | |
| 3a3 | |
| a6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(a3)3\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for division |
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commutative property for multiplication |
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distributive property for multiplication |
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commutative property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
Find the average of the following numbers: 11, 7, 12, 6.
| 4 | |
| 6 | |
| 9 | |
| 7 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 7 + 12 + 6}{4} \) = \( \frac{36}{4} \) = 9
Which of the following is not an integer?
1 |
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\({1 \over 2}\) |
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-1 |
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0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.