| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
absolute value |
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least common factor |
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least common multiple |
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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.
What is the least common multiple of 4 and 8?
| 8 | |
| 25 | |
| 18 | |
| 32 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] 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 [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.
A tiger in a zoo has consumed 50 pounds of food in 10 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 75 pounds?
| 15 | |
| 14 | |
| 5 | |
| 8 |
If the tiger has consumed 50 pounds of food in 10 days that's \( \frac{50}{10} \) = 5 pounds of food per day. The tiger needs to consume 75 - 50 = 25 more pounds of food to reach 75 pounds total. At 5 pounds of food per day that's \( \frac{25}{5} \) = 5 more days.
| 1.8 | |
| 8.1 | |
| 3.2 | |
| 1 |
1
Simplify \( \sqrt{48} \)
| 5\( \sqrt{6} \) | |
| 6\( \sqrt{3} \) | |
| 7\( \sqrt{6} \) | |
| 4\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{48} \)
\( \sqrt{16 \times 3} \)
\( \sqrt{4^2 \times 3} \)
4\( \sqrt{3} \)