Which of the following is equal to 3,124 ÷ 22?

To determine which option is equal to \( 3,124 \div 22 \), we will analyze each option one by one.

First, calculate \( 3,124 \div 22 \): \[ 3,124 \div 22 = 142 \]

Next, we will evaluate each provided option step by step.

Option A: \[ (2,200 + 22) + (880 + 22) + (44 + 22) \] Calculating each component: \[ 2,200 + 22 = 2,222 \] \[ 880 + 22 = 902 \] \[ 44 + 22 = 66 \] Now summing these results: \[ 2,222 + 902 + 66 = 3,190 \] This does not equal 142.

Option B: \[ (2,200 \div 22) + (880 \div 22) + (44 \div 22) \] Calculating each division: \[ 2,200 \div 22 = 100 \] \[ 880 \div 22 = 40 \] \[ 44 \div 22 = 2 \] Now summing these results: \[ 100 + 40 + 2 = 142 \] This equals 142, so Option B is likely correct.

Option C: \[ (2,200 \div 22) - (880 \div 22) - (44 \div 22) \] Calculating each division (we already calculated these): \[ (2,200 \div 22) = 100 \] \[ (880 \div 22) = 40 \] \[ (44 \div 22) = 2 \] Now applying the operation: \[ 100 - 40 - 2 = 58 \] This does not equal 142.

Option D: \[ (2,200 + 22) \div (880 + 22) \div (44 + 22) \] Calculating the additions first: \[ 2,200 + 22 = 2,222 \] \[ 880 + 22 = 902 \] \[ 44 + 22 = 66 \] So, \[ (2,222 \div 902) \div 66 \] Calculating \( 2,222 \div 902 \) first, which we can approximate but it won't lead us to 142. Thus: \[ \text{This does not equal } 142. \]

After evaluating all options, we find that only Option B gives us the exact value of \( 3,124 \div 22 = 142 \).

Therefore, the correct answer is: \[ \boxed{B} \]