| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Which of the following statements about exponents is false?
b1 = b |
|
all of these are false |
|
b0 = 1 |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Alex buys two shirts, each with a regular price of $26, how much money will he save?
| $13.00 | |
| $6.50 | |
| $7.80 | |
| $2.60 |
By buying two shirts, Alex will save $26 x \( \frac{50}{100} \) = \( \frac{$26 x 50}{100} \) = \( \frac{$1300}{100} \) = $13.00 on the second shirt.
What is 7b5 x 7b4?
| 49b | |
| 49b4 | |
| 49b9 | |
| 14b4 |
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:
7b5 x 7b4
(7 x 7)b(5 + 4)
49b9
Solve for \( \frac{2!}{3!} \)
| \( \frac{1}{20} \) | |
| \( \frac{1}{15120} \) | |
| 336 | |
| \( \frac{1}{3} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{2!}{3!} \)
\( \frac{2 \times 1}{3 \times 2 \times 1} \)
\( \frac{1}{3} \)
\( \frac{1}{3} \)
What is \( \frac{1}{8} \) ÷ \( \frac{4}{9} \)?
| \(\frac{2}{25}\) | |
| \(\frac{4}{63}\) | |
| \(\frac{9}{32}\) | |
| \(\frac{12}{49}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{1}{8} \) ÷ \( \frac{4}{9} \) = \( \frac{1}{8} \) x \( \frac{9}{4} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{1}{8} \) x \( \frac{9}{4} \) = \( \frac{1 x 9}{8 x 4} \) = \( \frac{9}{32} \) = \(\frac{9}{32}\)