Convert 3.875×109
3.875
×
10
9
meters to kilometers. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
(1 point)
1. 3.875 x 10^6
2.4.083 x 10^9
3.2.307 x 10^10
4.6.13
5.10^-21
Ali’s farmhouse has a height of 2.307×108
2.307
×
10
8
meters. Convert the height to centimeters. Express your answer in scientific notation to the exact decimal place.
Note: 1 meter is equal to 100 centimeters.
Convert 4.083×106
4.083
×
10
6
kilometers to meters. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
(1 point)
To convert 4.083×10^6 kilometers to meters, we multiply by 1,000 since 1 kilometer is equal to 1,000 meters.
4.083×10^6 kilometers × 1,000 = 4.083×10^9 meters
Expressed to the exact decimal place, 4.083×10^9 meters is equal to 4,083,000,000 meters.
To convert 2.307×10^8 meters to centimeters, we multiply by 100 since 1 meter is equal to 100 centimeters.
2.307×10^8 meters × 100 = 2.307×10^10 centimeters
Expressed in scientific notation to the exact decimal place, Ali's farmhouse has a height of 2.307×10^10 centimeters.
Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10−8 meters wide by 2.5×10−6 meters long. Use scientific notation to write the dimensions in millimeters.
Jim’s music library on his phone holds 1,900 songs. The songs have an average time of 3.5 minutes. Use scientific notation to find the total number of seconds the playlist will play. Express the answer to the exact decimal place.(1 point)
To find the total number of seconds Jim's playlist will play, we need to multiply the number of songs by the average time per song in minutes and then convert it to seconds.
1,900 songs × 3.5 minutes = 6,650 minutes
To convert minutes to seconds, we multiply by 60 since there are 60 seconds in a minute.
6,650 minutes × 60 seconds = 399,000 seconds
Expressed to the exact decimal place, Jim's playlist will play for 399,000 seconds.