| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
Convert 0.0006164 to scientific notation.
| 6.164 x 104 | |
| 6.164 x 10-4 | |
| 61.64 x 10-5 | |
| 6.164 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0006164 in scientific notation is 6.164 x 10-4
What is \( \frac{8}{3} \) + \( \frac{4}{11} \)?
| 2 \( \frac{5}{11} \) | |
| 2 \( \frac{4}{33} \) | |
| 2 \( \frac{5}{33} \) | |
| 3\(\frac{1}{33}\) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{8 x 11}{3 x 11} \) + \( \frac{4 x 3}{11 x 3} \)
\( \frac{88}{33} \) + \( \frac{12}{33} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{88 + 12}{33} \) = \( \frac{100}{33} \) = 3\(\frac{1}{33}\)
Which of the following is not a prime number?
9 |
|
7 |
|
5 |
|
2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Damon buys two shirts, each with a regular price of $25, how much money will he save?
| $2.50 | |
| $11.25 | |
| $10.00 | |
| $8.75 |
By buying two shirts, Damon will save $25 x \( \frac{10}{100} \) = \( \frac{$25 x 10}{100} \) = \( \frac{$250}{100} \) = $2.50 on the second shirt.
What is the least common multiple of 9 and 15?
| 23 | |
| 45 | |
| 37 | |
| 116 |
The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 have in common.