| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
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.
11 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 1 | |
| 9 | |
| 2 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 11 people needing transportation leaving 11 - 10 = 1 who will have to find other transportation.
4! = ?
3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
If \( \left|b + 0\right| \) - 5 = -1, which of these is a possible value for b?
| -4 | |
| -11 | |
| 0 | |
| -3 |
First, solve for \( \left|b + 0\right| \):
\( \left|b + 0\right| \) - 5 = -1
\( \left|b + 0\right| \) = -1 + 5
\( \left|b + 0\right| \) = 4
The value inside the absolute value brackets can be either positive or negative so (b + 0) must equal + 4 or -4 for \( \left|b + 0\right| \) to equal 4:
| b + 0 = 4 b = 4 + 0 b = 4 | b + 0 = -4 b = -4 + 0 b = -4 |
So, b = -4 or b = 4.
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication |
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commutative property for division |
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commutative 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.