| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common multiple |
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absolute value |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is \( \frac{4z^6}{6z^3} \)?
| \(\frac{2}{3}\)z3 | |
| \(\frac{2}{3}\)z-3 | |
| 1\(\frac{1}{2}\)z9 | |
| 1\(\frac{1}{2}\)z-3 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{4z^6}{6z^3} \)
\( \frac{4}{6} \) z(6 - 3)
\(\frac{2}{3}\)z3
The total water usage for a city is 45,000 gallons each day. Of that total, 24% is for personal use and 56% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 14,400 | |
| 2,400 | |
| 4,650 | |
| 7,750 |
56% of the water consumption is industrial use and 24% is personal use so (56% - 24%) = 32% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{32}{100} \) x 45,000 gallons = 14,400 gallons.
Which of the following is not an integer?
-1 |
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1 |
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0 |
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\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Convert 9,910,000 to scientific notation.
| 99.1 x 105 | |
| 9.91 x 106 | |
| 0.991 x 107 | |
| 9.91 x 10-6 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
9,910,000 in scientific notation is 9.91 x 106