| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Convert y-4 to remove the negative exponent.
| \( \frac{-1}{-4y} \) | |
| \( \frac{-1}{y^{-4}} \) | |
| \( \frac{1}{y^4} \) | |
| \( \frac{4}{y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
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.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
commutative property for division |
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commutative property for multiplication |
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distributive property for division |
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distributive property for multiplication |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).
The total water usage for a city is 45,000 gallons each day. Of that total, 16% is for personal use and 39% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 10,350 | |
| 2,200 | |
| 2,300 | |
| 6,000 |
39% of the water consumption is industrial use and 16% is personal use so (39% - 16%) = 23% more water is used for industrial purposes. 45,000 gallons are consumed daily so industry consumes \( \frac{23}{100} \) x 45,000 gallons = 10,350 gallons.
Convert 2,388,000 to scientific notation.
| 2.388 x 106 | |
| 2.388 x 105 | |
| 23.88 x 105 | |
| 0.239 x 107 |
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:
2,388,000 in scientific notation is 2.388 x 106