| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.51 |
| Score | 0% | 70% |
4! = ?
4 x 3 |
|
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 |
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.
Simplify \( \frac{20}{68} \).
| \( \frac{5}{8} \) | |
| \( \frac{9}{20} \) | |
| \( \frac{8}{17} \) | |
| \( \frac{5}{17} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{20}{68} \) = \( \frac{\frac{20}{4}}{\frac{68}{4}} \) = \( \frac{5}{17} \)
Which of the following statements about exponents is false?
b1 = 1 |
|
all of these are false |
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b0 = 1 |
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b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
What is the least common multiple of 8 and 12?
| 69 | |
| 1 | |
| 85 | |
| 24 |
The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 have in common.
Find the average of the following numbers: 9, 7, 12, 4.
| 8 | |
| 4 | |
| 3 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 7 + 12 + 4}{4} \) = \( \frac{32}{4} \) = 8