Emek and Luna reached a mountain fork and wanted to reach camp before sunset. Their map showed two possible routes. The first route climbed 1,438 meters, while the second climbed 1,672 meters. To compare the routes quickly, they rounded each height to the nearest hundred. They estimated the climbs as 1,400 meters and 1,700 meters. Since 1,400 meters was less than 1,700 meters, they chose the first route. Their estimate helped them select the shorter climb and continue toward camp.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
To round to the nearest hundred, look at the tens digit.
The first route climbs 1,438 meters. Why does 1,438 round to 1,400 to the nearest hundred?
1,438 is closer to 1,500 than to 1,400.The tens digit is 3, so the hundreds digit stays the same.The hundreds digit is 4, so the number always rounds down.Every number greater than 1,400 rounds to 1,400.Correct! The tens digit is 3, so 1,438 rounds to 1,400.
Try again. Look at the tens digit in 1,438 to decide whether to round up or down.
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Hint
Find the difference between 1,700 and 1,400.
Emek and Luna estimated the two climbs as 1,400 meters and 1,700 meters. How many meters apart are these two estimates?
Correct! The two estimated climbs are 300 meters apart.
Try again. Subtract the smaller estimate from the larger estimate.
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Hint
First round 1,549 to the nearest hundred. Then compare it with 1,400 and 1,700.
Emek and Luna find a third route that climbs 1,549 meters. They round all routes to the nearest hundred. Which statement is correct?
The third route rounds to 1,600 meters and has the smallest estimate.The third route rounds to 1,500 meters and has the smallest estimate.The third route rounds to 1,600 meters, so it has the same estimate as the second route.The third route rounds to 1,500 meters, so its estimate is between the first and second route estimates.Correct! 1,549 rounds to 1,500, which is between 1,400 and 1,700.
Try again. Round 1,549 first, then compare the three estimated climbs.
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