| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.80 |
| Score | 0% | 76% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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least common factor |
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greatest common factor |
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absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
4! = ?
4 x 3 x 2 x 1 |
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3 x 2 x 1 |
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4 x 3 |
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5 x 4 x 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.
What is 6x3 x x4?
| 7x4 | |
| 6x-1 | |
| 6x7 | |
| 7x12 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
6x3 x x4
(6 x 1)x(3 + 4)
6x7
What is the greatest common factor of 36 and 76?
| 29 | |
| 14 | |
| 4 | |
| 1 |
The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 the greatest factor 36 and 76 have in common.
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 9 | |
| 14 | |
| 11 | |
| 6 |
The equation for this sequence is:
an = an-1 + 1
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 1
a6 = 5 + 1
a6 = 6