| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
What is -9y7 x 7y7?
| -63y0 | |
| -63y14 | |
| -2y7 | |
| -2y49 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-9y7 x 7y7
(-9 x 7)y(7 + 7)
-63y14
Solve 3 + (4 + 2) ÷ 4 x 2 - 42
| \(\frac{5}{6}\) | |
| 1\(\frac{4}{5}\) | |
| 1\(\frac{1}{7}\) | |
| -10 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (4 + 2) ÷ 4 x 2 - 42
P: 3 + (6) ÷ 4 x 2 - 42
E: 3 + 6 ÷ 4 x 2 - 16
MD: 3 + \( \frac{6}{4} \) x 2 - 16
MD: 3 + \( \frac{12}{4} \) - 16
AS: \( \frac{12}{4} \) + \( \frac{12}{4} \) - 16
AS: \( \frac{24}{4} \) - 16
AS: \( \frac{24 - 64}{4} \)
\( \frac{-40}{4} \)
-10
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
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distributive |
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associative |
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PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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distributive property for division |
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distributive 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.
If there were a total of 150 raffle tickets sold and you bought 13 tickets, what's the probability that you'll win the raffle?
| 6% | |
| 4% | |
| 9% | |
| 7% |
You have 13 out of the total of 150 raffle tickets sold so you have a (\( \frac{13}{150} \)) x 100 = \( \frac{13 \times 100}{150} \) = \( \frac{1300}{150} \) = 9% chance to win the raffle.