| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
| 1.5 | |
| 1 | |
| 1.2 | |
| 4.0 |
1
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common factor |
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least common multiple |
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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.
A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 9 parts per hour. Yesterday the machine was shut down for 2 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 180.2 | |
| 130.2 | |
| 121.4 | |
| 157.9 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{9}{100} \) x 9 = \( \frac{9 \times 9}{100} \) = \( \frac{81}{100} \) = 0.81 errors per hour
So, in an average hour, the machine will produce 9 - 0.81 = 8.19 error free parts.
The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 8.19 = 180.2 error free parts were produced yesterday.
Which of the following statements about exponents is false?
b1 = 1 |
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all of these are false |
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b1 = b |
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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 an improper fraction?
\({a \over 5} \) |
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\({7 \over 5} \) |
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\({2 \over 5} \) |
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\(1 {2 \over 5} \) |
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.