Solve Decimal Subtraction: (+0.27) - (+1.12) Step-by-Step

Q: How do I know which number to subtract from which?

When the second number is larger, flip the subtraction: subtract the smaller from the larger, then make the result negative. So $ 0.27 - 1.12 $ becomes $ -(1.12 - 0.27) = -0.85 $.

Q: Can I line up the decimals vertically for this problem?

Yes! Line up the decimal points and subtract 1.12 - 0.27 = 0.85. Just remember to add the negative sign to get $ -0.85 $ since we're really doing $ 0.27 - 1.12 $.

Q: What's the difference between (+0.27) and just 0.27?

There's no difference! The plus sign in parentheses just emphasizes that it's a positive number. $ (+0.27) = 0.27 $ - they mean exactly the same thing.

Q: How can I check if -0.85 is correct?

Add your answer to the second number: $ -0.85 + 1.12 = 0.27 $. If you get the first number back, you're right! This works because addition and subtraction are opposite operations.

Decimal Subtraction with Positive Numbers

$(+0.27)-(+1.12)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Negative times positive is always negative

00:13 Let's use long subtraction for calculation

00:25 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

$(+0.27)-(+1.12)=$

Step-by-step solution

Let's remember the rule:

$-(+x)=-x$

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

$0.27-1.12=$

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

We'll use vertical subtraction and remember that the result is negative:

$1.12\\-0.27\\0.85$

The final result is:

$-0.85$

Final Answer

$-0.85$

Key Points to Remember

Essential concepts to master this topic

Rule: When subtracting larger from smaller, result is negative
Technique: Subtract smaller from larger: 1.12 - 0.27 = 0.85
Check: Verify: -0.85 + 1.12 = 0.27 ✓

Common Mistakes

Avoid these frequent errors

Forgetting the negative sign in the result
Don't just subtract 1.12 - 0.27 = 0.85 and stop there! This ignores that you're subtracting a larger number from a smaller one. Always remember when the second number is bigger, your answer must be negative.

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 is the answer negative when both numbers are positive?

Great question! Even though both 0.27 and 1.12 are positive, we're subtracting the larger number (1.12) from the smaller number (0.27). This always gives a negative result.

How do I know which number to subtract from which?

When the second number is larger, flip the subtraction: subtract the smaller from the larger, then make the result negative. So $0.27 - 1.12$ becomes $-(1.12 - 0.27) = -0.85$ .

Can I line up the decimals vertically for this problem?

Yes! Line up the decimal points and subtract 1.12 - 0.27 = 0.85. Just remember to add the negative sign to get $-0.85$ since we're really doing $0.27 - 1.12$ .

What's the difference between (+0.27) and just 0.27?

There's no difference! The plus sign in parentheses just emphasizes that it's a positive number. $(+0.27) = 0.27$ - they mean exactly the same thing.

How can I check if -0.85 is correct?

Add your answer to the second number: $-0.85 + 1.12 = 0.27$ . If you get the first number back, you're right! This works because addition and subtraction are opposite operations.

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