At a deep-space tracking station, Emek and Luna prepared to contact three exploration probes. The station reported their distances as 48,600,000 kilometers for Probe A, 725,000,000 kilometers for Probe B, and 93,200,000 kilometers for Probe C. Before the communication system could create a schedule, the distances had to be entered in scientific notation. Emek converted them to 4.86 x 10^7, 7.25 x 10^8, and 9.32 x 10^7 kilometers. Luna checked each conversion by counting how many places the decimal point had moved. They then compared the powers of 10 and saw that Probe B was farthest because 10^8 represents a greater place value than 10^7. Between the other two probes, 9.32 x 10^7 was greater than 4.86 x 10^7, so Probe C was farther than Probe A. Using the order A, C, B from nearest to farthest, they entered the communication schedule, and the station began transmitting signals successfully.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
Move the decimal point until the first factor is at least 1 but less than 10, and count the places moved.
A fourth probe is reported to be 63,500,000 kilometers away. Which is the correct scientific notation for this distance?
6.35 x 10^66.35 x 10^763.5 x 10^76.35 x 10^8
Correct. 63,500,000 is 6.35 x 10^7 in scientific notation.
Check both the position of the decimal point and the number of places it must move.
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Hint
Because both distances have the same power of 10, subtract their coefficients first.
Probe C is 9.32 x 10^7 kilometers away and Probe A is 4.86 x 10^7 kilometers away. How many kilometers farther from the station is Probe C than Probe A?
Correct. Probe C is 44,600,000 kilometers farther away than Probe A.
Subtract the two distances. Since they have the same power of 10, you can begin with 9.32 - 4.86.
Next
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Hint
Compare 1.05 x 10^8 with Probe C's 9.32 x 10^7 and Probe B's 7.25 x 10^8.
A new Probe D is 1.05 x 10^8 kilometers from the station. Where should it be placed in the schedule from nearest to farthest?
Before Probe ABetween Probe A and Probe CBetween Probe C and Probe BAfter Probe B
Correct. Probe D is farther than Probe C but nearer than Probe B.
Compare the powers of 10 carefully. If needed, rewrite the distances using the same power of 10.
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Uzak Sondaları Takip Etmek
TR
ARC_G08_OPS_02_STORY_01
Uzak Sondaları Takip Etmek
Tracking the Distant Probes
EN
ARC_G08_OPS_02_STORY_01
Tracking the Distant Probes