Solve the Decimal Subtraction: 1 - 0.2 Step by Step

Decimal Subtraction with Borrowing

10.2= 1-0.2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 We will use long subtraction for calculation
00:08 We'll place 0 and the decimal point in the appropriate place
00:14 We'll borrow from the larger digit to subtract
00:17 The larger digit will decrease by 1, and our digit will increase by 10
00:29 Now we'll subtract from the larger number and place
00:41 We'll continue to subtract and place accordingly
00:48 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

10.2= 1-0.2=

2

Step-by-step solution

To solve this problem, we'll perform the following steps:

  • Align the numbers by their decimal points:

1.0 1.0
0.2- 0.2
----

  • Perform the subtraction, starting from the rightmost digit (the tenths place since decimals are aligned):

0.00.0 in the tenths place subtract 0.20.2 results in 0.80.8.

  • In the ones place, there is no further subtraction, simply keeping the placed zero.

Overall, the subtraction 10.2 1 - 0.2 results in 0.8 0.8 .

Therefore, the solution to the problem is 0.8 0.8 .

3

Final Answer

0.8

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points vertically before subtracting
  • Technique: Rewrite 1 as 1.0 to match decimal places
  • Check: Add result back: 0.8+0.2=1.0 0.8 + 0.2 = 1.0

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal points properly
    Don't subtract 1 - 0.2 by placing numbers randomly = wrong calculation! This leads to incorrect place value subtraction and wrong answers like 0.98. Always align decimal points vertically and add zeros to match decimal places.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to write 1 as 1.0?

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Writing 1 as 1.0 helps you see the place values clearly! It shows you have 1 in the ones place and 0 in the tenths place, making subtraction much easier to visualize.

What if I get confused about borrowing with decimals?

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Think of it like regular subtraction! When you can't subtract in the tenths place, you borrow from the ones place. 1.0 1.0 becomes 0.10 0.10 , then 102=8 10 - 2 = 8 tenths.

How can I check if my decimal subtraction is correct?

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Use addition to check! Add your answer to the number you subtracted: 0.8+0.2 0.8 + 0.2 . If you get the original number (1), your answer is right!

Is there a pattern for subtracting decimals from whole numbers?

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Yes! When subtracting a decimal from a whole number, your answer will always be less than the whole number but have the same decimal places as what you're subtracting.

What's the easiest way to remember decimal subtraction?

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Remember "Point Down, Line Up!" Always line up the decimal points vertically, and your decimal point in the answer goes straight down from the others.

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