Solve Decimal Subtraction: 1.76 - 0.8 Step by Step

Q: Why do I need to add a zero to 0.8?

Adding a zero makes 0.8 become 0.80, which has the same value but helps you see that both numbers have the same number of decimal places. This makes subtraction much easier!

Q: What does borrowing mean in decimal subtraction?

Borrowing means taking 1 from the next column to the left when you can't subtract. For example, when subtracting 8 from 7 in the tenths place, borrow 1 from the units place to make it 17 - 8 = 9.

Q: How do I know when I need to borrow?

You need to borrow when the top digit is smaller than the bottom digit in any column. In 1.76 - 0.80, you need to borrow because 7

Q: Can I check my answer by adding?

Yes! Addition is the opposite of subtraction, so add your answer to what you subtracted: $ 0.96 + 0.8 = 1.76 $. If you get the original number, you're correct!

Q: Why is my answer 0.96 and not 96?

The decimal point position matters! Since you're subtracting decimals, your answer will also be a decimal. The decimal point in your answer should align with the decimal points in the problem.

Decimal Subtraction with Borrowing

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's start subtracting from right to left

00:06 Calculate and substitute accordingly

00:13 The digit is too small for subtraction, so we'll borrow from the next

00:16 The next digit will decrease by 1, and our digit will increase by 10

00:24 Now subtract from the larger number

00:28 Calculate and substitute accordingly

00:38 Continue to subtract, calculate and substitute accordingly

00:44 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

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Align the numbers by their decimal points and add a zero to $0.8$ , making it $0.80$ .
Step 2: Perform the subtraction from right to left, column by column, borrowing as needed.

Let's go through each step in detail:
Step 1: We write the numbers as: $\begin{array}{r} 1.76 \\ -0.80 \\ \hline \end{array}$

Step 2: Start subtracting from the rightmost digit: - In the hundredths column, subtract 0 from 6: $6 - 0 = 6$ . - In the tenths column, subtract 8 from 7: Since $7 - 8$ is negative, borrow 1 from the units column. This gives 17 in the tenths place. Subtract 8 from 17: $17 - 8 = 9$ . - In the units column, after borrowing, subtract 0 from what is now 0 in the column (formerly 1 before borrowing): $0 - 0 = 0$ .

Putting this together, the result is $0.96$ .

Therefore, the solution to the problem is $0.96$ .

Final Answer

0.96

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up decimal points and add zeros for equal place values
Technique: Borrow when needed: 7-8 becomes 17-8=9 after borrowing from units
Check: Add your answer to the subtracted number: 0.96+0.8=1.76 ✓

Common Mistakes

Avoid these frequent errors

Subtracting without aligning decimal points
Don't subtract 1.76-0.8 by treating them as whole numbers = 0.88 instead of 0.96! This ignores place value positions and gives completely wrong results. Always align decimal points vertically before subtracting.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the exercise is written correctly in relation to the position of the decimal point:

FAQ

Everything you need to know about this question

Why do I need to add a zero to 0.8?

Adding a zero makes 0.8 become 0.80, which has the same value but helps you see that both numbers have the same number of decimal places. This makes subtraction much easier!

What does borrowing mean in decimal subtraction?

Borrowing means taking 1 from the next column to the left when you can't subtract. For example, when subtracting 8 from 7 in the tenths place, borrow 1 from the units place to make it 17 - 8 = 9.

How do I know when I need to borrow?

You need to borrow when the top digit is smaller than the bottom digit in any column. In 1.76 - 0.80, you need to borrow because 7 < 8 in the tenths column.

Can I check my answer by adding?

Yes! Addition is the opposite of subtraction, so add your answer to what you subtracted: $0.96 + 0.8 = 1.76$ . If you get the original number, you're correct!

Why is my answer 0.96 and not 96?

The decimal point position matters! Since you're subtracting decimals, your answer will also be a decimal. The decimal point in your answer should align with the decimal points in the problem.

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