| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
least common multiple |
|
greatest common factor |
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absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Convert 0.0003796 to scientific notation.
| 3.796 x 10-3 | |
| 3.796 x 10-5 | |
| 3.796 x 10-4 | |
| 37.96 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:
0.0003796 in scientific notation is 3.796 x 10-4
How many 15-passenger vans will it take to drive all 65 members of the football team to an away game?
| 10 vans | |
| 8 vans | |
| 5 vans | |
| 4 vans |
Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:
vans = \( \frac{65}{15} \) = 4\(\frac{1}{3}\)
So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have \(\frac{1}{2}\) cup, how much more flour is needed?
| 1\(\frac{7}{8}\) cups | |
| 1\(\frac{5}{8}\) cups | |
| 2\(\frac{5}{8}\) cups | |
| 2\(\frac{3}{4}\) cups |
The amount of flour you need is (2\(\frac{3}{8}\) - \(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{4}{8} \)) cups
\( \frac{15}{8} \) cups
1\(\frac{7}{8}\) cups
In a class of 28 students, 13 are taking German and 15 are taking Spanish. Of the students studying German or Spanish, 9 are taking both courses. How many students are not enrolled in either course?
| 18 | |
| 9 | |
| 16 | |
| 20 |
The number of students taking German or Spanish is 13 + 15 = 28. Of that group of 28, 9 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 28 - 9 = 19 who are taking at least one language. 28 - 19 = 9 students who are not taking either language.