Solve the Decimal Subtraction: 12.3 - 5.4

12.35.4= 12.3-5.4=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this problem together.
00:07 We'll use long subtraction to find the answer.
00:12 Don't forget, place the decimal point correctly.
00:16 Notice if a digit is smaller than the one you're subtracting from.
00:21 If it is, we need to borrow from the next digit.
00:26 The larger digit decreases by one, and our digit increases by ten.
00:32 Subtract from the larger number and place it in the answer. Like this!
00:40 If the digit is still smaller, we borrow again.
00:44 Use the same method: borrow and subtract.
00:52 Keep subtracting. Remember to place each result correctly.
01:03 Continue this process until you finish all the digits.
01:11 And there you have it! That's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

12.35.4= 12.3-5.4=

2

Step-by-step solution

To solve this problem, we will perform the subtraction of two decimal numbers: 12.312.3 and 5.45.4.

Here are the steps to follow:

  • Align the decimals: Write the numbers 12.312.3 and 5.45.4 vertically with their decimal points aligned.
  • Subtract the numbers digit by digit: Start from the rightmost digit (tenths place).
    x12.3\phantom{x} \, \, 12.3
    5.4- \, \, \, 5.4
    \rule{1cm}{0.4pt}
  • From the tenths place, 343 - 4 requires borrowing. Borrow 11 from the units place of the top number, turning 12.312.3 into 12.212.2 and making the tenths digit 3+10=133+10=13. Subtract: 134=913 - 4 = 9.
  • In the units place, 252 - 5 needs borrowing as well. Borrow from the tens place: change 1212 into 1111 and 22 becomes 1212. Then subtract: 125=712 - 5 = 7.
  • Since no borrowing is needed in the tens place, retain 11 as is.
  • Therefore, the final result is 6.96.9.

Thus, the result of 12.35.412.3 - 5.4 is 6.96.9.

3

Final Answer

6.9

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