Solve: 310 - 110.352 Using Vertical Subtraction Method

Question

Circle the correct answer to the following exercise:

310-110.352

Video Solution

Solution Steps

00:08 Let's solve the problem together.
00:11 We'll begin by placing a zero in the right spots.
00:15 When we need to subtract a bigger number than what we have available.
00:22 We borrow from the next digit.
00:25 This makes the current digit smaller by one, and raises the previous digit by ten.
00:34 Continue this method until you reach the last digit.
00:56 Now, subtract from the larger number.
01:01 We'll keep borrowing, subtracting, and repositioning as needed.
01:15 Once again, borrow from the next digit.
01:19 The current digit becomes one less and the previous gets ten more.
01:24 Subtract again from the larger number.
01:28 Keep subtracting and placing numbers correctly.
01:31 And that's how we solve this problem. Great job!

Step-by-Step Solution

In order to avoid confusion whilst solving the exercise, add three zeros to the number 310 as follows:

310.000110.352 310.000\\-110.352\\

Proceed to solve the exercise in the correct order:

Let's subtract the thousands after the decimal point:

02= 0-2=

Given that we cannot subtract, we will instead borrow ten from the tens digit of the whole number before the decimal point, due to the fact that the other numbers are also zeros.

The tens digit of the whole number before the decimal point will become 0, and the hundreds digit of the whole number before the decimal point will become 10

We'll borrow ten from the hundreds digit before the decimal point and it will change from 10 to 9, and now the tenths digit after the decimal point will become 10

We'll borrow ten from the tenths digit after the decimal point and it will change from 10 to 9, and now the hundredths digit after the decimal point will become 10

We'll borrow ten from the hundredths digit after the decimal point and it will change from 10 to 9, and now the thousandths digit after the decimal point will become 10

Now that we know how to solve the exercise, let's subtract the thousands after the decimal point:

102=8 10-2=8

Let's subtract the hundreds after the decimal point:

95=4 9-5=4

Let's subtract the tenths after the decimal point:

93=6 9-3=6

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

90=9 9-0=9

01= 0-1=

Given that we cannot subtract, we will instead borrow ten from the ones digit of the whole number and we should obtain the following:

101=9 10-1=9

Remember that we borrowed ten from the ones digit, as shown below:

311=1 3-1-1=1

And we obtain:

310.000110.352199.648 310.000\\-110.352\\199.648

Answer

199.648