| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
What is \( \frac{5}{2} \) - \( \frac{4}{4} \)?
| 2 \( \frac{5}{8} \) | |
| 1 \( \frac{7}{4} \) | |
| 1\(\frac{1}{2}\) | |
| \( \frac{1}{4} \) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]. The first few multiples they share are [4, 8, 12, 16, 20] making 4 the smallest multiple 2 and 4 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{5 x 2}{2 x 2} \) - \( \frac{4 x 1}{4 x 1} \)
\( \frac{10}{4} \) - \( \frac{4}{4} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{10 - 4}{4} \) = \( \frac{6}{4} \) = 1\(\frac{1}{2}\)
A factor is a positive __________ that divides evenly into a given number.
integer |
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mixed number |
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fraction |
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improper 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.
Find the average of the following numbers: 17, 13, 17, 13.
| 20 | |
| 15 | |
| 10 | |
| 13 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{17 + 13 + 17 + 13}{4} \) = \( \frac{60}{4} \) = 15
Which of the following statements about exponents is false?
b1 = 1 |
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b0 = 1 |
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b1 = b |
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all of these are false |
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).
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
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a = 7 |
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a = 7 or a = -7 |
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none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).