| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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fraction |
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mixed number |
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integer |
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.
Which of the following statements about exponents is false?
b0 = 1 |
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b1 = b |
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all of these are false |
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b1 = 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).
Ezra loaned Diane $1,400 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,498 | |
| $1,456 | |
| $1,442 | |
| $1,512 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,400
i = 0.04 x $1,400
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,400 + $56What is \( \frac{1}{9} \) ÷ \( \frac{1}{7} \)?
| \(\frac{7}{9}\) | |
| \(\frac{1}{9}\) | |
| \(\frac{3}{10}\) | |
| 7 |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{9} \) ÷ \( \frac{1}{7} \) = \( \frac{1}{9} \) x \( \frac{7}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{9} \) x \( \frac{7}{1} \) = \( \frac{1 x 7}{9 x 1} \) = \( \frac{7}{9} \) = \(\frac{7}{9}\)
Which of the following is an improper fraction?
\({2 \over 5} \) |
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\({a \over 5} \) |
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\({7 \over 5} \) |
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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.