Question

is each number closest to 3, 3.50, or 4? move each card to the correct bin.
closest to 3
closest to 3.50
closest to 4
3.19
3.70
3.05
3.91
3.80

Explanation:

Step1: Define closeness

To determine which number a value is closest to, calculate the absolute difference between the value and each target (3, 3.50, 4). The smallest difference indicates the closest target.

Step2: Analyze 3.19

• Difference from 3: \( |3.19 - 3| = 0.19 \)
• Difference from 3.50: \( |3.19 - 3.50| = 0.31 \)
• Difference from 4: \( |3.19 - 4| = 0.81 \)

Smallest difference is 0.19 (closest to 3).

Step3: Analyze 3.70

• Difference from 3: \( |3.70 - 3| = 0.70 \)
• Difference from 3.50: \( |3.70 - 3.50| = 0.20 \)
• Difference from 4: \( |3.70 - 4| = 0.30 \)

Smallest difference is 0.20 (closest to 3.50).

Step4: Analyze 3.05

• Difference from 3: \( |3.05 - 3| = 0.05 \)
• Difference from 3.50: \( |3.05 - 3.50| = 0.45 \)
• Difference from 4: \( |3.05 - 4| = 0.95 \)

Smallest difference is 0.05 (closest to 3).

Step5: Analyze 3.91

• Difference from 3: \( |3.91 - 3| = 0.91 \)
• Difference from 3.50: \( |3.91 - 3.50| = 0.41 \)
• Difference from 4: \( |3.91 - 4| = 0.09 \)

Smallest difference is 0.09 (closest to 4).

Step6: Analyze 3.80

• Difference from 3: \( |3.80 - 3| = 0.80 \)
• Difference from 3.50: \( |3.80 - 3.50| = 0.30 \)
• Difference from 4: \( |3.80 - 4| = 0.20 \)

Smallest difference is 0.20 (closest to 4? Wait, no: Wait, 3.80 to 3.50 is 0.30, to 4 is 0.20. Wait, 0.20 is smaller than 0.30, so closest to 4? Wait, no, wait 3.80 - 3.50 = 0.30, 4 - 3.80 = 0.20. So yes, closest to 4? Wait, but let's recheck. Wait, 3.70: 3.70 - 3.50 = 0.20, 4 - 3.70 = 0.30. So 3.70 is closer to 3.50. 3.80: 4 - 3.80 = 0.20, 3.80 - 3.50 = 0.30. So closer to 4. 3.91: 4 - 3.91 = 0.09, very close to 4.

Answer:

• Closest to 3: 3.19, 3.05
• Closest to 3.50: 3.70
• Closest to 4: 3.91, 3.80