https://file.aiquickdraw.com/mathbot/file/1730373950752nx53avrq.jpg

Let's go through each part of the problem.

### Problem 11: Find each sum

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

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

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

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.

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

Learn how to find the sum of mixed numbers and decimals, including negative numbers, with a step-by-step solution. This problem includes the conversion of mixed numbers to decimals and handling addition and subtraction of numbers with different signs. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation