| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
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\({5 \over 7} \) |
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\({7 \over 5} \) |
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\({a \over 5} \) |
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.
Convert b-5 to remove the negative exponent.
| \( \frac{1}{b^5} \) | |
| \( \frac{-1}{-5b^{5}} \) | |
| \( \frac{-5}{b} \) | |
| \( \frac{5}{b} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
Which of the following is an improper fraction?
\({2 \over 5} \) |
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\(1 {2 \over 5} \) |
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\({7 \over 5} \) |
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\({a \over 5} \) |
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.
What is 3\( \sqrt{2} \) x 5\( \sqrt{5} \)?
| 15\( \sqrt{10} \) | |
| 8\( \sqrt{5} \) | |
| 15\( \sqrt{7} \) | |
| 8\( \sqrt{10} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
3\( \sqrt{2} \) x 5\( \sqrt{5} \)
(3 x 5)\( \sqrt{2 \times 5} \)
15\( \sqrt{10} \)
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication |
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distributive property for division |
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commutative property for multiplication |
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commutative property for division |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.