Lesson · Grade 6 · Mathematics

Dividing a Decimal by a Whole Number

  • Grade 6
  • Mathematics
  • 1 min 19 s
  • British Columbia
  • BC6-MA-22

A 9.6 m rope is cut into 4 equal pieces, and the video works out 9.6 ÷ 4 by long division: first the decimal point goes straight above the one in 9.6, then the division runs as usual (4 into 9 is 2 with 1 left, bring down the 6 to make 16, 4 into 16 is 4). It checks that 2.4 is sensible with the estimate 10 ÷ 4 = 2.5, labels each piece of rope 2.4 m, and ends on the recap "Point straight above, then divide".

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In one sentence

The question this lesson answers

A rope 9.6 metres long is cut into 4 equal pieces.

How long is each piece?

Transcript

What the lesson says

A rope 9.6 metres long is cut into 4 equal pieces.

How long is each piece?

To find out, we divide 9.6 by 4, using long division.

First, put the decimal point in the answer straight above the one in 9.6.

Now divide as usual: how many times does 4 go into 9?

It goes 2 times, because 4 times 2 is 8 and 4 times 3 is too big.

Subtract 8 from 9, and 1 is left.

Bring down the 6 to make 16.

4 goes into 16 exactly 4 times, so write 4 on top.

16 minus 16 is 0, so nothing is left over.

So 9.6 divided by 4 is 2.4.

To check, 9.6 is about 10, and 10 divided by 4 is 2.5, which is close.

So each piece of rope is 2.4 metres long.

To divide a decimal by a whole number, put the point straight above, then divide as usual.

Curriculum

Where this fits

British Columbia, Grade 6

Mathematics, Number: multiplication and division of decimalsBC6-MA-22

Previous: Multiplying a Decimal by a Whole Number

British Columbia, Grade 7

Mathematics, Number: operations with decimalsBC7-MA-19

Previous: 7.56 ÷ 0.12Next: Multiplying and Dividing by 10, 100 and 1000

This lesson is also listed in Grade 7.

The outcomes and strands follow the British Columbia curriculum.