| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
Find the average of the following numbers: 17, 11, 18, 10.
| 19 | |
| 14 | |
| 15 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{17 + 11 + 18 + 10}{4} \) = \( \frac{56}{4} \) = 14
Solve 4 + (3 + 5) ÷ 4 x 3 - 42
| -6 | |
| \(\frac{1}{4}\) | |
| \(\frac{1}{2}\) | |
| 1 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (3 + 5) ÷ 4 x 3 - 42
P: 4 + (8) ÷ 4 x 3 - 42
E: 4 + 8 ÷ 4 x 3 - 16
MD: 4 + \( \frac{8}{4} \) x 3 - 16
MD: 4 + \( \frac{24}{4} \) - 16
AS: \( \frac{16}{4} \) + \( \frac{24}{4} \) - 16
AS: \( \frac{40}{4} \) - 16
AS: \( \frac{40 - 64}{4} \)
\( \frac{-24}{4} \)
-6
If a mayor is elected with 62% of the votes cast and 78% of a town's 27,000 voters cast a vote, how many votes did the mayor receive?
| 17,901 | |
| 13,057 | |
| 18,112 | |
| 12,425 |
If 78% of the town's 27,000 voters cast ballots the number of votes cast is:
(\( \frac{78}{100} \)) x 27,000 = \( \frac{2,106,000}{100} \) = 21,060
The mayor got 62% of the votes cast which is:
(\( \frac{62}{100} \)) x 21,060 = \( \frac{1,305,720}{100} \) = 13,057 votes.
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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commutative property for division |
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distributive property for multiplication |
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distributive 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.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
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associative |
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commutative |
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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.