What is the decimal opposite of −3 3/4?

What is the decimal opposite of −3 3/4?

• A. -3.75
• B. 3.75
• C. 4.0
• D. -4.0

Answer: (B)

The decimal opposite is the additive inverse—the number with the opposite sign that would bring you back to zero when added. First convert the mixed number -3 3/4 to decimal: 3/4 is 0.75, so -3 3/4 is -3.75. The opposite of -3.75 is +3.75, which is 3.75 in decimal form. So the best answer is 3.75. The other options are either the wrong sign or have a different magnitude (for example, -3.75 would not undo the original amount, and 4.0 or -4.0 have magnitudes not equal to 3.75).

The decimal opposite is the additive inverse—the number with the opposite sign that would bring you back to zero when added. First convert the mixed number -3 3/4 to decimal: 3/4 is 0.75, so -3 3/4 is -3.75. The opposite of -3.75 is +3.75, which is 3.75 in decimal form. So the best answer is 3.75. The other options are either the wrong sign or have a different magnitude (for example, -3.75 would not undo the original amount, and 4.0 or -4.0 have magnitudes not equal to 3.75).