| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
Solve 2 + (3 + 5) ÷ 2 x 3 - 32
| 1\(\frac{1}{2}\) | |
| \(\frac{5}{8}\) | |
| 5 | |
| \(\frac{4}{5}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (3 + 5) ÷ 2 x 3 - 32
P: 2 + (8) ÷ 2 x 3 - 32
E: 2 + 8 ÷ 2 x 3 - 9
MD: 2 + \( \frac{8}{2} \) x 3 - 9
MD: 2 + \( \frac{24}{2} \) - 9
AS: \( \frac{4}{2} \) + \( \frac{24}{2} \) - 9
AS: \( \frac{28}{2} \) - 9
AS: \( \frac{28 - 18}{2} \)
\( \frac{10}{2} \)
5
| 3.6 | |
| 1 | |
| 0.6 | |
| 1.0 |
1
Find the average of the following numbers: 9, 5, 10, 4.
| 11 | |
| 5 | |
| 3 | |
| 7 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 5 + 10 + 4}{4} \) = \( \frac{28}{4} \) = 7
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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PEDMAS |
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commutative |
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distributive |
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.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for multiplication |
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commutative property for multiplication |
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commutative property for division |
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distributive property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).