Solve: 310 - 110.352 Using Vertical Subtraction Method

Question

Circle the correct answer to the following exercise:

310-110.352

Video Solution

Solution Steps

00:00 Solve
00:03 Place 0 in the appropriate positions
00:07 When we need to subtract a number larger than what we have
00:14 We'll borrow from the next possible digit
00:17 The current digit decreases by 1, and the previous digit increases by 10
00:26 We'll use the same method and continue this until we reach the last digit
00:48 Now subtract from the larger number
00:51 We'll place and continue to subtract and position accordingly
01:07 Again we'll borrow from the next number
01:11 The current digit decreases by 1, and the previous digit increases by 10
01:15 Now subtract from the larger number
01:20 Continue to subtract and place accordingly
01:23 And this is the solution to the question

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