Calculate 0.64 - 0.06: Decimal Subtraction Step-by-Step

Q: Why can't I just subtract 4 - 6 and write -2?

You can't have negative digits in a decimal number! When the top digit is smaller, you must borrow from the place value to the left, just like with whole numbers.

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

Look at each column from right to left. If the top digit is smaller than the bottom digit, you need to borrow 1 from the column to the left.

Q: What happens when I borrow 1 from the tenths place?

The digit you borrow from decreases by 1, and the digit you're borrowing for increases by 10. So $0.64$ becomes $0.5$ and $14$ in the calculation.

Q: How can I check if my decimal subtraction is correct?

Use addition to check! Add your answer to the number you subtracted. If you get the original number, you're correct: $0.58 + 0.06 = 0.64$ ✓

Q: Do I always need to line up the decimal points?

Yes, always! This ensures you're subtracting the correct place values. Tenths from tenths, hundredths from hundredths, and so on.

Q: What if the numbers have different amounts of decimal places?

Add zeros to the right of the shorter decimal to make them the same length. For example, $0.6$ becomes $0.60$ when subtracting from $0.64$.

Decimal Subtraction with Regrouping

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

00:09 The next digit will decrease by 1, and our digit will increase by 10

00:13 Now let's subtract from the larger number

00:19 Let's calculate and substitute accordingly

00:25 Let's 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 decimal numbers by their decimal points.
Step 2: Subtract the smaller decimal number from the larger.
Step 3: Perform any regrouping if necessary.

Now, let's work through each step:

Step 1: Align the numbers vertically by their decimal points:

   $0.64$ 

 $-0.06$ 

 $\_\_\_\_\_\_$

Step 2: Subtract from right to left:

- In the hundredths place: $4 - 6$ requires regrouping. Borrow $1$ from the tenths place, changing the $4$ to $14$ and reducing the tenths from $6$ to $5$ . So $14 - 6 = 8$ .

- In the tenths place: Now $5 - 0 = 5$ .

=  $0.58$

Therefore, the solution to the problem is $0.58$ .

Final Answer

0.58

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up decimal points vertically before subtracting
Regrouping: Borrow 1 from tenths: $4$ becomes $14$ , $6$ becomes $5$
Check: Add answer to subtrahend: $0.58 + 0.06 = 0.64$ ✓

Common Mistakes

Avoid these frequent errors

Subtracting without regrouping when needed
Don't subtract 4 - 6 and get a negative result like -2 in the hundredths place! This creates impossible negative digits. Always borrow 1 from the next place value when the top digit is smaller than the bottom digit.

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 can't I just subtract 4 - 6 and write -2?

You can't have negative digits in a decimal number! When the top digit is smaller, you must borrow from the place value to the left, just like with whole numbers.

How do I know when I need to regroup or borrow?

Look at each column from right to left. If the top digit is smaller than the bottom digit, you need to borrow 1 from the column to the left.

What happens when I borrow 1 from the tenths place?

The digit you borrow from decreases by 1, and the digit you're borrowing for increases by 10. So $0.64$ becomes $0.5$ and $14$ in the calculation.

How can I check if my decimal subtraction is correct?

Use addition to check! Add your answer to the number you subtracted. If you get the original number, you're correct: $0.58 + 0.06 = 0.64$ ✓

Do I always need to line up the decimal points?

Yes, always! This ensures you're subtracting the correct place values. Tenths from tenths, hundredths from hundredths, and so on.

What if the numbers have different amounts of decimal places?

Add zeros to the right of the shorter decimal to make them the same length. For example, $0.6$ becomes $0.60$ when subtracting from $0.64$ .

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