| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
Which of the following statements about exponents is false?
b1 = 1 |
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b1 = b |
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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).
Which of the following is not a prime number?
7 |
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2 |
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9 |
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5 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Convert a-3 to remove the negative exponent.
| \( \frac{-1}{-3a^{3}} \) | |
| \( \frac{-1}{a^{-3}} \) | |
| \( \frac{1}{a^{-3}} \) | |
| \( \frac{1}{a^3} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 38,000 seats in a stadium are filled, how many home fans are in attendance?
| 25,000 | |
| 28,500 | |
| 37,600 | |
| 21,333 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
38,000 fans x \( \frac{3}{4} \) = \( \frac{114000}{4} \) = 28,500 fans.
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.