| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Convert 7,550,000 to scientific notation.
| 7.55 x 106 | |
| 7.55 x 105 | |
| 7.55 x 107 | |
| 0.755 x 107 |
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:
7,550,000 in scientific notation is 7.55 x 106
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Ezra buys two shirts, each with a regular price of $29, how much will he pay for both shirts?
| $53.65 | |
| $39.15 | |
| $42.05 | |
| $4.35 |
By buying two shirts, Ezra will save $29 x \( \frac{15}{100} \) = \( \frac{$29 x 15}{100} \) = \( \frac{$435}{100} \) = $4.35 on the second shirt.
So, his total cost will be
$29.00 + ($29.00 - $4.35)
$29.00 + $24.65
$53.65
What is \( \frac{7y^5}{5y^2} \)?
| 1\(\frac{2}{5}\)y2\(\frac{1}{2}\) | |
| 1\(\frac{2}{5}\)y3 | |
| 1\(\frac{2}{5}\)y7 | |
| \(\frac{5}{7}\)y-3 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{7y^5}{5y^2} \)
\( \frac{7}{5} \) y(5 - 2)
1\(\frac{2}{5}\)y3
A factor is a positive __________ that divides evenly into a given number.
integer |
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fraction |
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mixed number |
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improper fraction |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
A tiger in a zoo has consumed 40 pounds of food in 5 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 72 pounds?
| 4 | |
| 6 | |
| 2 | |
| 1 |
If the tiger has consumed 40 pounds of food in 5 days that's \( \frac{40}{5} \) = 8 pounds of food per day. The tiger needs to consume 72 - 40 = 32 more pounds of food to reach 72 pounds total. At 8 pounds of food per day that's \( \frac{32}{8} \) = 4 more days.