Q. Which expression is equivalent to 99.7−(−57.9) ?99.7−57.957.9−99.7−57.9−99.799.7+57.9
Understand the problem: Understand the problem.We need to find an expression equivalent to 99.7−(−57.9). This involves understanding how to handle subtraction of a negative number.
Apply the rule: Apply the rule for subtracting a negative number.Subtracting a negative number is the same as adding its positive counterpart. Therefore, 99.7−(−57.9) is equivalent to 99.7+57.9.
Check the given options: Check the given options to find the equivalent expression.We have determined that 99.7−(−57.9) is equivalent to 99.7+57.9. Now we need to check the given options to see which one matches our result.Option 1: 99.7−57.9 (This is not equivalent because it represents subtraction, not addition.)Option 2: 57.9−99.7 (This is not equivalent because it represents subtraction in the reverse order.)Option 3: −57.9−99.7 (This is not equivalent because it represents adding a negative to a negative.)Option 4: 99.7+57.9 (This is equivalent because it correctly represents adding the positive counterpart of −57.9 to 99.7.)