| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Which of the following is an improper fraction?
\({a \over 5} \) |
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\(1 {2 \over 5} \) |
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\({7 \over 5} \) |
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\({2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
Which of the following statements about exponents is false?
b1 = b |
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b1 = 1 |
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all of these are false |
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b0 = 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).
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 34 | |
| 33 | |
| 29 | |
| 31 |
The equation for this sequence is:
an = an-1 + 2(n - 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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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absolute value |
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least common multiple |
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greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is the greatest common factor of 36 and 36?
| 28 | |
| 36 | |
| 34 | |
| 29 |
The factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36] and the factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36]. They share 9 factors [1, 2, 3, 4, 6, 9, 12, 18, 36] making 36 the greatest factor 36 and 36 have in common.