| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
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a(b + c) = ab + ac defines which of the following?
distributive property for division |
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commutative property for division |
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commutative property for multiplication |
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distributive property for multiplication |
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.
Find the average of the following numbers: 11, 7, 11, 7.
| 9 | |
| 10 | |
| 6 | |
| 5 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 7 + 11 + 7}{4} \) = \( \frac{36}{4} \) = 9
What is \( \frac{14\sqrt{28}}{2\sqrt{4}} \)?
| 7 \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{7}} \) | |
| 7 \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{14\sqrt{28}}{2\sqrt{4}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{28}{4}} \)
7 \( \sqrt{7} \)
What is \( \frac{2}{7} \) x \( \frac{3}{5} \)?
| \(\frac{6}{35}\) | |
| \(\frac{2}{9}\) | |
| 1\(\frac{1}{5}\) | |
| \(\frac{4}{21}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{3}{5} \) = \( \frac{2 x 3}{7 x 5} \) = \( \frac{6}{35} \) = \(\frac{6}{35}\)
Convert c-4 to remove the negative exponent.
| \( \frac{-1}{-4c} \) | |
| \( \frac{-1}{c^{-4}} \) | |
| \( \frac{1}{c^4} \) | |
| \( \frac{4}{c} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.