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, ignore the signs 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. Let's analyze each option:

• Option 1: Says to add the numbers, which is incorrect for opposite - sign addition. We subtract, not add.
• Option 2: (There is a typo in the original, but assuming it's a repeat of option 4) 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. This matches the rule for adding numbers with opposite signs.
• Option 3: Says to add the numbers and take the sign of the smaller number, which is incorrect.
• Option 4: (Same as option 2 after correction) 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. This is the correct rule.

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: Assuming option 2 and 4 are the same with a typo, the correct option follows the rule of subtracting the smaller absolute value from the larger absolute value and taking the sign of the number with the larger absolute value)