Math Problem Statement

Find each sum: (a) 50 1/2 + (-12.3), (b) -50 1/2 + (-12.3), (c) -50 1/2 + 12.3

Solution

Let's go through each part of the problem.

Problem 11: Find each sum

Part (a)

Expression:
5012+(12.3)50 \frac{1}{2} + (-12.3) Convert 501250 \frac{1}{2} to a decimal: 5012=50.550 \frac{1}{2} = 50.5 So, the expression becomes: 50.5+(12.3)=50.512.3=38.250.5 + (-12.3) = 50.5 - 12.3 = 38.2 Answer for (a): 38.238.2

Part (b)

Expression:
5012+(12.3)-50 \frac{1}{2} + (-12.3) Convert 5012-50 \frac{1}{2} to a decimal: 5012=50.5-50 \frac{1}{2} = -50.5 So, the expression becomes: 50.5+(12.3)=50.512.3=62.8-50.5 + (-12.3) = -50.5 - 12.3 = -62.8 Answer for (b): 62.8-62.8

Part (c)

Expression:
5012+12.3-50 \frac{1}{2} + 12.3 Convert 5012-50 \frac{1}{2} to a decimal: 5012=50.5-50 \frac{1}{2} = -50.5 So, the expression becomes: 50.5+12.3=38.2-50.5 + 12.3 = -38.2 Answer for (c): 38.2-38.2

Would you like further details on any of these steps?

Related Questions:

  1. How do you convert a mixed number to a decimal?
  2. What is the effect of adding a negative number?
  3. How does the sign of each term impact the final sum?
  4. Why is subtracting a negative equivalent to adding a positive?
  5. How can you verify these sums on a calculator?

Tip: Always convert mixed numbers to decimals for easier calculations in addition and subtraction.

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Math Problem Analysis

Mathematical Concepts

Addition and subtraction of mixed numbers
Converting mixed numbers to decimals
Working with negative numbers

Formulas

Mixed number to decimal conversion
Sum of two numbers with different signs

Theorems

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Suitable Grade Level

Grades 6-8