A software malfunction erased part of the navigation database aboard a research station just before an important orbital maneuver. Emek and Tara recovered scattered coordinate values, including 8, -3, 2.75, -4/5, √16, and π. The navigation computer required each value to be placed in the correct set within the real number system before it would reactivate. After classifying the numbers as natural, integer, rational, or irrational where appropriate, they compared several key coordinates to verify the safest flight path. The database passed its final check, the navigation computer restarted successfully, and the station completed its orbital maneuver on schedule.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
A rational number can be written as a fraction of two integers.
Which recovered coordinate value is irrational?
2.75-4/5π√16Correct! π is irrational because it cannot be written as a ratio of two integers.
Check which value cannot be written as a terminating decimal, repeating decimal, or fraction.
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Hint
Simplify √16, and remember that integers, fractions, and terminating decimals are rational.
How many of the recovered values 8, -3, 2.75, -4/5, √16, and π are rational numbers?
Correct! Five of the six values are rational.
Classify each value separately and count all values that can be written as fractions of integers.
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Hint
Rewrite -4/5 as -0.8 and compare π with 2.75.
Which list orders the recovered values -3, -4/5, 2.75, and π from least to greatest?
-4/5, -3, 2.75, π-3, -4/5, 2.75, π-3, -4/5, π, 2.75π, 2.75, -4/5, -3Correct! The order is -3, -0.8, 2.75, and then π.
Convert the fraction to a decimal and remember that π is a little greater than 3.
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🎉 Congrats! You finished this challenge set!
Navigasyon Veritabanını Yeniden Başlatma
TR
ARC_G09_NUM_01_STORY_01
Navigasyon Veritabanını Yeniden Başlatma
