Just before the fossil exhibit opened, Emek and Luna noticed that three measurement cards might be attached to the wrong specimens. The fossils had original excavation tags showing lengths of 13/20 meter, 7/8 meter, and 4/5 meter. The display cards listed 0.80 meter, 0.65 meter, and 0.875 meter, but their order seemed suspicious. Emek converted 13/20 to 65/100, which equals 0.65. Luna recognized that 4/5 equals 0.80, while 7/8 equals 0.875. They compared all three decimal values and discovered that none of the cards matched the fossil where it had been placed. Using the equivalent measurements, they moved each card to its correct specimen. With every record restored, the exhibit was accurate and ready for visitors.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Find an equivalent fraction with a denominator of 100 before writing the decimal.
A student says that the fossil marked 13/20 meter should match the 0.13 meter card because the numerator is 13. Which explanation best shows why the student is incorrect?
13/20 is greater than 1, so it cannot equal 0.13.13/20 can be changed to 65/100, so it equals 0.65, not 0.13.13/20 equals 13/100, so it should match 0.13.13/20 equals 0.20 because the denominator is 20.Correct! 13/20 = 65/100 = 0.65, so using only the numerator does not give the decimal value.
Not quite. Convert 13/20 to an equivalent fraction with a denominator of 100 and then write the decimal.
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Hint
Write 0.80 and 0.65 as numbers of hundredths, then subtract.
After the cards are corrected, the 4/5 meter fossil is labeled 0.80 meter and the 13/20 meter fossil is labeled 0.65 meter. If both lengths are written in hundredths of a meter, how many hundredths longer is the 4/5 meter fossil?
Correct! 80 hundredths - 65 hundredths = 15 hundredths.
Try again. Compare 80 hundredths with 65 hundredths and find the difference.
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Hint
Use the decimal equivalents 0.65, 0.80, and 0.875 to compare the fractions.
Emek checks the corrected records by ordering the three fossil lengths from shortest to longest. Which order verifies that the cards are matched correctly?
7/8, 4/5, 13/204/5, 13/20, 7/813/20, 7/8, 4/513/20, 4/5, 7/8Correct! 0.65 < 0.80 < 0.875, so the order is 13/20, 4/5, 7/8.
Not quite. Match each fraction to its decimal value and then compare the three decimals.
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