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India
Class VI

Subtract single digit numbers with decimals in tenths or hundredths

Lesson

When we subtract numbers with decimals, we follow the same process as working with whole numbers, except we have more columns that come after the decimal point:

Tens Units (ones) . Tenths Hundredths
         

Whole numbers don't have any decimal values, so we can think of them as having zeros after the decimal point. For example, we could rewrite $87-23$8723 as $87.00-23.00$87.0023.00 to two decimal places. The process for solving decimals is just the same as for whole numbers. Let's watch a video to see how using decimals with values in the tenths and hundredths places.

 

Subtraction with regrouping

In our second video, we are going to work through a subtraction where we need to regroup. When we are subtracting using a place value system (e.g. a vertical algorithm) and need to take a larger number away from a smaller number, we need to exchange a value from the previous place. For example, we could exchange $1$1 tenth for $10$10 hundredths. Subtracting decimal values uses the same process as with whole numbers, only now there are values in the columns after the decimal point. Let's take a look at this process in more detail.

Remember!

We always start our calculations from the smallest place value column.

Worked Examples 

question 1

Evaluate $0.73-0.51$0.730.51. Write your answer as a decimal.

question 2

Evaluate $6.61-4.42$6.614.42. Write your answer in decimal form.

question 3

Evaluate $2.75-1.75$2.751.75.

Outcomes

6.NS.F.2

Review of the idea of a decimal fraction, place value in the context of decimal fraction, inter conversion of fractions and decimal fractions (avoid recurring decimals at this stage)

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