Inside the fossil storage tent, Emek and Luna found several bone fragments waiting to be sorted. Each fragment was marked with a fraction, but the storage trays were labeled with decimals. One fragment showed 3/5. Emek changed it to 6/10 and recognized that it matched the tray labeled 0.6. Luna used the same idea for a fragment marked 7/10 and placed it in the 0.7 tray. A third fragment was marked 9/20. They knew that 9/20 was equivalent to 45/100, so it belonged in the 0.45 tray. Before finishing, Luna compared 0.45, 0.6, and 0.7 to check that no fragments had been switched. Their fraction-to-decimal matches were correct, and every fossil was stored in the proper tray for the research team.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Rewrite 3/5 as an equivalent fraction with a denominator of 10.
Emek needs to place the fragment marked 3/5 into a decimal-labeled tray. Which decimal is equivalent to 3/5?
0.30.50.60.8Correct! 3/5 = 6/10, which is 0.6.
Not quite. Find an equivalent fraction for 3/5 with a denominator of 10.
Next🎉 Congrats! You got this question!
Hint
Think about the place value of the digits in 0.45.
The 9/20 fragment belongs in the 0.45 tray. If the tray labels are written in hundredths, how many hundredths are in 0.45?
Correct! 0.45 means 45 hundredths.
Try again. Write 0.45 as a fraction with a denominator of 100.
Next🎉 Congrats! You got this question!
Hint
You can write 0.6 as 0.60 and 0.7 as 0.70, then compare the hundredths.
Luna wants to check the three trays labeled 0.45, 0.6, and 0.7 by ordering them from least to greatest. Which order is correct?
0.6, 0.45, 0.70.45, 0.6, 0.70.7, 0.6, 0.450.45, 0.7, 0.6Correct! 0.45 < 0.60 < 0.70.
Not quite. Write each decimal to the hundredths place and compare them.
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🎉 Congrats! You finished this challenge set!
