Calculate the Sum: (-0.73) + (-13.07) Decimal Addition

Q: Can I just ignore the negative signs and add normally?

Only for the calculation step! You add the absolute values (0.73 + 13.07 = 13.8), but you must remember to put the negative sign back on your final answer: -13.8.

Q: What if the decimal places don't line up perfectly?

Always align the decimal points when adding vertically:0.73+ 13.07= 13.80This helps prevent errors and makes the addition clearer.

Q: How is this different from subtracting positive numbers?

It's actually the same process! $ (-0.73) + (-13.07) $ equals $ -0.73 - 13.07 $. Both give you -13.8 because you're moving further in the negative direction.

Q: Why does my calculator show -13.8 instead of -13.80?

Both answers are correct! Calculators typically drop trailing zeros after the decimal point. -13.8 and -13.80 represent the exact same value.

Adding Negative Decimals with Same Signs

$(-0.73)+(-13.07)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Find the point (-0.73) on the axis

00:07 Positive times negative is always negative, therefore we subtract

00:10 To subtract, we move to the left (negative) on the axis

00:21 We'll use long subtraction for calculation

00:34 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(-0.73)+(-13.07)=$

Step-by-step solution

Let's remember the rule:

$+(-x)=-x$

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

$-0.73-13.07=$

Since we are subtracting a larger number from a smaller number, the result will be negative.

We'll combine the two numbers together vertically, but remember that the result will be negative:

$0.73\\+13.07\\13.80$

Therefore, the answer is:

$-0.73-13.07=-13.8$

Final Answer

$-13.8$

Key Points to Remember

Essential concepts to master this topic

Rule: When adding two negative numbers, add absolute values and keep negative sign
Technique: Convert (-0.73) + (-13.07) to -(0.73 + 13.07) = -13.8
Check: Verify 0.73 + 13.07 = 13.8, so answer is -13.8 ✓

Common Mistakes

Avoid these frequent errors

Forgetting the negative sign in the final answer
Don't add 0.73 + 13.07 = 13.8 and forget the negative sign! This ignores that both original numbers were negative. Always remember that adding two negative numbers gives a negative result, so the answer must be -13.8.

Practice Quiz

Test your knowledge with interactive questions

$$ -5-(-2)= $$

FAQ

Everything you need to know about this question

Why do I add the numbers when the problem shows addition of negatives?

Great observation! When you add two negative numbers, you're essentially finding how far you move in the negative direction. Think of it as combining debts: if you owe $0.73 and $13.07, you owe a total of $13.80.

Can I just ignore the negative signs and add normally?

Only for the calculation step! You add the absolute values (0.73 + 13.07 = 13.8), but you must remember to put the negative sign back on your final answer: -13.8.

What if the decimal places don't line up perfectly?

Always align the decimal points when adding vertically:

0.73
+ 13.07
= 13.80

This helps prevent errors and makes the addition clearer.

How is this different from subtracting positive numbers?

It's actually the same process! $(-0.73) + (-13.07)$ equals $-0.73 - 13.07$ . Both give you -13.8 because you're moving further in the negative direction.

Why does my calculator show -13.8 instead of -13.80?

Both answers are correct! Calculators typically drop trailing zeros after the decimal point. -13.8 and -13.80 represent the exact same value.

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