Solve the Decimal Subtraction: 18 - 16.31 in Vertical Format

Decimal Subtraction with Borrowing Across Places

Solve the following exercise:

18-16.31

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Place 0 in the appropriate positions
00:07 When we need to subtract a number larger than the number we have
00:12 We'll borrow from the next possible number
00:16 The digit will decrease by 1, and the previous digit will increase by 10
00:19 We'll use the same method and continue this until we reach the last digit
00:28 Now we'll subtract from the larger number
00:34 We'll place and continue to subtract and place accordingly
00:45 We'll reduce the 0
00:49 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

Solve the following exercise:

18-16.31

2

Step-by-step solution

In order to avoid confusion in solving the exercise, we will first add two zeros to the number 18 as follows:

18.0016.31 18.00\\-16.31\\

Now let's proceed to solve the exercise in order:

Subtract the hundreds after the decimal point:

01= 0-1=

Given that we are unable to solve the exercise, we will borrow ten from the tens digit of the whole number before the decimal point (since the tenths digit after the decimal point is also 0)

Now the tens digit of the whole number before the decimal point will become 7 and the tenths digit after the decimal point will change from 0 to 10

We will then proceed to borrow ten from the tenths digit after the decimal point and it will change from 10 to 9 and the hundreds digit will change from 0 to 10

We can now solve the exercise.

Subtract the hundreds after the decimal point:

101=9 10-1=9

Subtract the tenths after the decimal point:

93=6 9-3=6

Finally, let's subtract the whole numbers before the decimal point accordingly:

816=1 8-1-6=1

11=0 1-1=0

And we get:

18.0016.3101.69 18.00\\-16.31\\01.69

We can ignore the zero before the 1 and therefore we obtain the number: 1.69

3

Final Answer

1.69

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points and add zeros for equal places
  • Borrowing: Convert 18 to 18.00, then borrow: 17.10 - 16.31
  • Check: Add your answer to subtrahend: 1.69 + 16.31 = 18.00 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting without aligning decimal points
    Don't subtract 18 - 16.31 by treating them as whole numbers = wrong place values! This ignores decimal positions and gives answers like 186 or 231. Always align decimal points vertically and add zeros to make equal decimal places.

Practice Quiz

Test your knowledge with interactive questions

\( 2.6:0.1= \)

FAQ

Everything you need to know about this question

Why do I need to add zeros to 18?

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Adding zeros makes 18 become 18.00 so both numbers have the same decimal places. This helps you line up the digits correctly for subtraction and borrowing.

How does borrowing work with decimals?

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Borrowing works the same as with whole numbers! When you can't subtract (like 0 - 1), you borrow from the next digit to the left. Remember: 1 borrowed = 10 in the current place.

What if I get confused about which direction to borrow?

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Always borrow from left to right - from bigger place values to smaller ones. In this problem: tens → ones → tenths → hundredths.

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: 1.69+16.31=18.00 1.69 + 16.31 = 18.00 . If you get the original number, you're right!

Why is the answer 1.69 and not 01.69?

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We don't write leading zeros in decimal numbers! The zero before 1.69 doesn't change the value, so we simply write 1.69 as our final answer.

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