Solve: (+0.76) - (+13.04) Decimal Subtraction Problem

Decimal Subtraction with Positive Integer Signs

(+0.76)(+13.04)= ? (+0.76)-(+13.04)=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's solve this problem together.
00:11 Remember, when you multiply a negative by a positive number, the result is always negative.
00:20 Okay, now let's use long subtraction to find the answer. Take your time as we go through each step.
00:38 Great job! And that is the solution to our question.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(+0.76)(+13.04)= ? (+0.76)-(+13.04)=\text{ ?}

2

Step-by-step solution

First we need to remember the rule:

(+x)=x -(+x)=-x

Now let's rewrite the exercise in the appropriate form:

0.7613.04= 0.76-13.04=

Next we will solve the exercise vertically, keeping in mind that the final result will be negative since we are subtracting a smaller number from a larger number:

13.040.7612.28 13.04\\-0.76\\12.28

Remember that the answer must be a negative number, so we will add a minus sign to get:

12.28 -\text{12}.28

3

Final Answer

12.28 -12.28

Key Points to Remember

Essential concepts to master this topic
  • Sign Rule: When subtracting positive numbers, use (+x)=x -(+x) = -x
  • Technique: Rewrite as 0.7613.04 0.76 - 13.04 then subtract larger from smaller
  • Check: Since 13.04 > 0.76, answer must be negative: -12.28 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to make the final answer negative
    Don't calculate 13.04 - 0.76 = 12.28 and stop there = positive answer when it should be negative! When subtracting a larger number from a smaller one, the result is always negative. Always check if your answer should be positive or negative before writing your final result.

Practice Quiz

Test your knowledge with interactive questions

Solve the following expression:

\( (+8)+(+12)=\text{ ?} \)

FAQ

Everything you need to know about this question

Why do I need to remove the parentheses first?

+

The parentheses with signs tell us how to handle each number. (+13.04) -(+13.04) means "subtract positive 13.04," which simplifies to just subtracting 13.04.

How do I know when the answer will be negative?

+

When you subtract a larger number from a smaller number, the result is always negative. Since 13.04 > 0.76, our answer 0.7613.04 0.76 - 13.04 must be negative.

Can I just ignore the plus signs in the parentheses?

+

Yes! When you see (+0.76) (+0.76) , the plus sign doesn't change anything - it's still just 0.76. The key is handling the subtraction sign in front of the second term.

What if I get confused about which number to subtract from which?

+

Here's a helpful trick: always subtract the smaller absolute value from the larger one, then make the answer negative if the original larger number was being subtracted. So: 13.04 - 0.76 = 12.28, then add the negative sign.

How can I check if my answer is right?

+

Add your answer to the second number: 12.28+13.04=0.76 -12.28 + 13.04 = 0.76 ✓. If you get the first number back, your subtraction is correct!

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