| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
The __________ is the greatest factor that divides two integers.
absolute value |
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greatest common factor |
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least common multiple |
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greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is 5\( \sqrt{4} \) x 6\( \sqrt{4} \)?
| 11\( \sqrt{16} \) | |
| 30\( \sqrt{8} \) | |
| 120 | |
| 11\( \sqrt{4} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{4} \) x 6\( \sqrt{4} \)
(5 x 6)\( \sqrt{4 \times 4} \)
30\( \sqrt{16} \)
Now we need to simplify the radical:
30\( \sqrt{16} \)
30\( \sqrt{4^2} \)
(30)(4)
120
What is the greatest common factor of 24 and 32?
| 8 | |
| 14 | |
| 9 | |
| 4 |
The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 32 are [1, 2, 4, 8, 16, 32]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 24 and 32 have in common.
A factor is a positive __________ that divides evenly into a given number.
fraction |
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improper fraction |
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integer |
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mixed number |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
Which of the following statements about exponents is false?
b1 = b |
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all of these are false |
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b0 = 1 |
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b1 = 1 |
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).