Math Problem Statement

Find the sum or difference: 7.82 - 4.65 and (-9.23) + (-6.57)

Solution

Let's solve the two problems shown in the image.

Problem 6: 7.824.657.82 - 4.65

To find the difference:

7.824.65=3.177.82 - 4.65 = 3.17

So, the correct answer is 3.17.

Problem 7: (9.23)+(6.57)(-9.23) + (-6.57)

Since both numbers are negative, we add their absolute values and keep the negative sign:

9.23+(6.57)=15.80-9.23 + (-6.57) = -15.80

So, the correct answer is -15.80.

Would you like more details on how these calculations were performed or have any other questions?

Related Questions:

  1. How do you subtract two decimals step by step?
  2. What is the rule for adding two negative numbers?
  3. How can we check our answer when subtracting decimals?
  4. What is the difference between adding and subtracting positive and negative numbers?
  5. How do absolute values affect addition or subtraction of negative numbers?

Tip:

When adding negative numbers, always add their absolute values and keep the negative sign.

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Math Problem Analysis

Mathematical Concepts

Decimal Subtraction
Addition of Negative Numbers

Formulas

Decimal subtraction: Align the decimals and subtract
Addition of negative numbers: Add absolute values and keep the negative sign

Theorems

Properties of subtraction
Properties of addition of negative numbers

Suitable Grade Level

Grades 6-8