18.8 + (-7.5) 2.6 - 18.43

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Understand the Problem

The question is asking to perform two mathematical operations: addition and subtraction. The first operation involves adding 18.8 and the negative of 7.5, while the second involves subtracting 18.43 from 2.6. Solutions will require careful handling of the signs in each operation.

Answer

First operation: $11.3$ \\ Second operation: $-15.83$
Answer for screen readers

The results are:
For the first operation: ( 11.3 )
For the second operation: ( -15.83 )

Steps to Solve

  1. First Operation: Addition with Negative Number
    To solve ( 18.8 + (-7.5) ), you can think of adding 18.8 and subtracting 7.5.
    This gives us:
    $$ 18.8 - 7.5 $$

  2. Calculate the First Operation
    Now perform the subtraction:
    $$ 18.8 - 7.5 = 11.3 $$

  3. Second Operation: Subtraction
    Next, we tackle ( 2.6 - 18.43 ). We need to subtract a larger number from a smaller number, which will yield a negative result.

  4. Calculate the Second Operation
    Now we compute this subtraction:
    $$ 2.6 - 18.43 = -15.83 $$

The results are:
For the first operation: ( 11.3 )
For the second operation: ( -15.83 )

More Information

The result of the first operation indicates how much greater 18.8 is compared to 7.5. The second result shows that when subtracting a larger number (18.43) from a smaller number (2.6), the outcome is negative, representing a deficit.

Tips

  • Mistaking the negative sign in addition; always remember that ( a + (-b) ) is the same as ( a - b ).
  • Forgetting to borrow when performing the subtraction with decimals, particularly when the top number is smaller.

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