| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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absolute value |
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least common factor |
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greatest common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
The total water usage for a city is 20,000 gallons each day. Of that total, 11% is for personal use and 24% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,000 | |
| 4,950 | |
| 3,600 | |
| 2,600 |
24% of the water consumption is industrial use and 11% is personal use so (24% - 11%) = 13% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{13}{100} \) x 20,000 gallons = 2,600 gallons.
Which of the following is a mixed number?
\({5 \over 7} \) |
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\({7 \over 5} \) |
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\(1 {2 \over 5} \) |
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\({a \over 5} \) |
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.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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mixed number |
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integer |
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fraction |
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.
What is the least common multiple of 6 and 8?
| 4 | |
| 24 | |
| 21 | |
| 28 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 6 and 8 have in common.