During a cosmic radiation storm, the quantum sensors aboard a space station began producing mixed numerical readings. Emek and Tara examined values such as -2.4, 7/3, √25, √7, and π before the calibration software would accept them. They classified each reading as rational or irrational, recognizing that √25 simplified to 5, a rational number. They then compared the critical measurements to identify which sensor outputs were consistent and which required adjustment. After recalibrating the sensors with the verified data, the observation system resumed accurate measurements, allowing the station to continue monitoring the storm safely.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
Simplify √25 before classifying it.
A student says that √25 is irrational because it contains a square root symbol. Which statement correctly checks this claim?
The student is correct because all square roots are irrational.The student is incorrect because √25 = 5, which is rational.The student is correct because 25 is not a fraction.The student is incorrect because √25 = 12.5.
Correct! √25 equals 5, and 5 is a rational number.
Do not classify a square root until you check whether it simplifies to an integer.
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Hint
Terminating decimals, fractions, and integers are rational.
Among the sensor readings -2.4, 7/3, √25, √7, and π, how many are irrational numbers?
Correct! √7 and π are irrational, so there are 2 irrational readings.
Classify each reading after simplifying √25.
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Hint
Use 7/3 ≈ 2.33 and √25 = 5.
Tara estimates √7 ≈ 2.65 and π ≈ 3.14. Which list orders the positive sensor readings 7/3, √7, π, and √25 from least to greatest?
√7, 7/3, π, √257/3, π, √7, √257/3, √7, π, √25√25, π, √7, 7/3
Correct! The values increase from about 2.33 to 2.65 to 3.14 to 5.
Convert or estimate each value before comparing them.
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Kuantum Sensörü Kalibrasyonu
TR
ARC_G09_NUM_01_STORY_03
Kuantum Sensörü Kalibrasyonu
Quantum Sensor Calibration
EN
ARC_G09_NUM_01_STORY_03
Quantum Sensor Calibration