| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
Find the average of the following numbers: 12, 10, 15, 7.
| 15 | |
| 11 | |
| 10 | |
| 9 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 10 + 15 + 7}{4} \) = \( \frac{44}{4} \) = 11
Convert 7,600,000 to scientific notation.
| 7.6 x 107 | |
| 0.76 x 107 | |
| 7.6 x 10-6 | |
| 7.6 x 106 |
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:
7,600,000 in scientific notation is 7.6 x 106
What is 6y7 x y2?
| 6y9 | |
| 6y14 | |
| 6y-5 | |
| 6y7 |
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:
6y7 x y2
(6 x 1)y(7 + 2)
6y9
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({5 \over 7} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is \( \frac{2}{7} \) x \( \frac{1}{9} \)?
| \(\frac{2}{9}\) | |
| \(\frac{2}{63}\) | |
| \(\frac{2}{7}\) | |
| \(\frac{1}{3}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{1}{9} \) = \( \frac{2 x 1}{7 x 9} \) = \( \frac{2}{63} \) = \(\frac{2}{63}\)