| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.91 |
| Score | 0% | 78% |
4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
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.
a(b + c) = ab + ac defines which of the following?
commutative property for division |
|
distributive property for division |
|
distributive property for multiplication |
|
commutative 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.
Simplify \( \frac{16}{44} \).
| \( \frac{1}{3} \) | |
| \( \frac{4}{11} \) | |
| \( \frac{1}{2} \) | |
| \( \frac{9}{17} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{16}{44} \) = \( \frac{\frac{16}{4}}{\frac{44}{4}} \) = \( \frac{4}{11} \)
What is 5b2 x 6b2?
| 30b0 | |
| 11b2 | |
| 30b4 | |
| 30b2 |
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:
5b2 x 6b2
(5 x 6)b(2 + 2)
30b4
What is (z5)2?
| 5z2 | |
| 2z5 | |
| z10 | |
| z7 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)2