| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
Convert 1,003,000 to scientific notation.
| 1.003 x 10-6 | |
| 1.003 x 107 | |
| 10.03 x 105 | |
| 1.003 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:
1,003,000 in scientific notation is 1.003 x 106
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Monty buys two shirts, each with a regular price of $44, how much will he pay for both shirts?
| $61.60 | |
| $6.60 | |
| $50.60 | |
| $81.40 |
By buying two shirts, Monty will save $44 x \( \frac{15}{100} \) = \( \frac{$44 x 15}{100} \) = \( \frac{$660}{100} \) = $6.60 on the second shirt.
So, his total cost will be
$44.00 + ($44.00 - $6.60)
$44.00 + $37.40
$81.40
A machine in a factory has an error rate of 8 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday the machine was shut down for 8 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 117.8 | |
| 114.7 | |
| 121 | |
| 205.8 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{8}{100} \) x 8 = \( \frac{8 \times 8}{100} \) = \( \frac{64}{100} \) = 0.64 errors per hour
So, in an average hour, the machine will produce 8 - 0.64 = 7.36 error free parts.
The machine ran for 24 - 8 = 16 hours yesterday so you would expect that 16 x 7.36 = 117.8 error free parts were produced yesterday.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
greatest common factor |
|
absolute value |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
How many hours does it take a car to travel 495 miles at an average speed of 55 miles per hour?
| 8 hours | |
| 2 hours | |
| 9 hours | |
| 7 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{495mi}{55mph} \)
9 hours