| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
The __________ is the greatest factor that divides two integers.
least common multiple |
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greatest common factor |
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greatest common multiple |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A bread recipe calls for 2\(\frac{7}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 2\(\frac{1}{4}\) cups | |
| 2\(\frac{1}{2}\) cups | |
| \(\frac{3}{4}\) cups | |
| 1\(\frac{5}{8}\) cups |
The amount of flour you need is (2\(\frac{7}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{23}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups
What is \( \frac{3}{5} \) + \( \frac{9}{9} \)?
| 1\(\frac{3}{5}\) | |
| 2 \( \frac{9}{45} \) | |
| \( \frac{8}{11} \) | |
| 2 \( \frac{4}{10} \) |
To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 5 and 9 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{3 x 9}{5 x 9} \) + \( \frac{9 x 5}{9 x 5} \)
\( \frac{27}{45} \) + \( \frac{45}{45} \)
Now, because the fractions share a common denominator, you can add them:
\( \frac{27 + 45}{45} \) = \( \frac{72}{45} \) = 1\(\frac{3}{5}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Charlie buys two shirts, each with a regular price of $20, how much money will he save?
| $10.00 | |
| $3.00 | |
| $5.00 | |
| 76 |
By buying two shirts, Charlie will save $20 x \( \frac{25}{100} \) = \( \frac{$20 x 25}{100} \) = \( \frac{$500}{100} \) = $5.00 on the second shirt.
Convert 8,434,000 to scientific notation.
| 84.34 x 105 | |
| 0.843 x 107 | |
| 8.434 x 10-6 | |
| 8.434 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:
8,434,000 in scientific notation is 8.434 x 106