Question

its time to play \whats nearby?\
is each number closest to 5, 6, or 7? move each card to the correct bin.
closest to 5
closest to 6
closest to 7
5.95
5.03
6.10
5.30
6.75

Explanation:

Step1: Define closeness (distance)

To determine which number a value is closest to, calculate the absolute difference between the value and 5, 6, and 7. The smallest difference indicates the closest number. The formula for the absolute difference between a number \( x \) and a target \( t \) is \( |x - t| \).

Step2: Analyze 5.03

• Distance to 5: \( |5.03 - 5| = 0.03 \)
• Distance to 6: \( |5.03 - 6| = 0.97 \)
• Distance to 7: \( |5.03 - 7| = 1.97 \)

The smallest distance is 0.03 (to 5), so 5.03 is closest to 5.

Step3: Analyze 5.30

• Distance to 5: \( |5.30 - 5| = 0.30 \)
• Distance to 6: \( |5.30 - 6| = 0.70 \)
• Distance to 7: \( |5.30 - 7| = 1.70 \)

The smallest distance is 0.30 (to 5), so 5.30 is closest to 5.

Step4: Analyze 5.95

• Distance to 5: \( |5.95 - 5| = 0.95 \)
• Distance to 6: \( |5.95 - 6| = 0.05 \)
• Distance to 7: \( |5.95 - 7| = 1.05 \)

The smallest distance is 0.05 (to 6), so 5.95 is closest to 6.

Step5: Analyze 6.10

• Distance to 5: \( |6.10 - 5| = 1.10 \)
• Distance to 6: \( |6.10 - 6| = 0.10 \)
• Distance to 7: \( |6.10 - 7| = 0.90 \)

The smallest distance is 0.10 (to 6), so 6.10 is closest to 6.

Step6: Analyze 6.75

• Distance to 5: \( |6.75 - 5| = 1.75 \)
• Distance to 6: \( |6.75 - 6| = 0.75 \)
• Distance to 7: \( |6.75 - 7| = 0.25 \)

The smallest distance is 0.25 (to 7), so 6.75 is closest to 7.

Answer:

• Closest to 5: 5.03, 5.30
• Closest to 6: 5.95, 6.10
• Closest to 7: 6.75