Question

when adding signed numbers with opposite signs, we: first, disregard the sign and add the numbers. then, the sign of the result is the same as the sign of the larger number. first, disregard the sign and subtract the smaller number from the larger number. then, the sign of the result is the same as the sign of the larger number. first, disregard the sign and add the numbers. then, the sign of the result is the same as the sign of the smaller number. first, disregard the sign and subtract the smaller number from the larger number. then, the sign of the result is the same as the sign of the larger number.

Explanation:

To add signed numbers with opposite signs, we use the rule: First, find the absolute values (disregard the sign) and subtract the smaller absolute value from the larger absolute value. Then, the sign of the result is the same as the sign of the number with the larger absolute value (the "larger number" in terms of absolute value). Let's analyze each option:

• Option 1: Says to add the numbers (disregarding sign), but we subtract when signs are opposite, so this is wrong.
• Option 2: (Note: There's a typo, but assuming it's a repeat of the correct concept) Wait, the second and fourth options seem repeated? Wait, looking at the options, the second and fourth are the same? Wait, no, maybe a typo. Wait, the correct rule is: when adding numbers with opposite signs, subtract the smaller absolute value from the larger absolute value, then take the sign of the number with the larger absolute value. So the option that says "First, disregard the sign and subtract the smaller number from the larger number. Then, the sign of the result is the same as the sign of the larger number" is correct. Let's check the options again:
• Option 1: Add (wrong, should subtract)
• Option 2: Subtract smaller from larger, sign of larger (correct)
• Option 3: Add and sign of smaller (wrong)
• Option 4: Same as option 2 (maybe a typo in the question, but the correct process is subtract smaller from larger, sign of larger. So the correct option is the one that says "First, disregard the sign and subtract the smaller number from the larger number. Then, the sign of the result is the same as the sign of the larger number." (assuming the second or fourth option, as they are repeated)

Answer:

B. First, disregard the sign and subtract the smaller number from the larger number. Then, the sign of the result is the same as the sign of the larger number. (Note: There seems to be a repeat in the options, but this is the correct rule.) Wait, actually, the second and fourth options are identical? Maybe a typo, but the correct option is the one that describes subtracting the smaller from the larger (disregarding sign) and taking the sign of the larger number. So the correct option is the second (or fourth, as they are the same) one.