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

a is negative number.

b is negative number.

What is the sum of a+b?

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?

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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?

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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?

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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?

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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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