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Lesson · Grade 6 · Mathematics

Multiplying a Decimal by a Whole Number

  • Grade 6
  • Mathematics
  • 1 min 21 s
  • British Columbia
  • BC6-MA-21

Base ten blocks show 0.125 × 3 as three groups of 1 flat, 2 rods and 5 small cubes, multiplied one place at a time, with 10 small cubes traded for 1 rod, to reach 0.375. A quick check confirms the answer: 0.125 is between 0.1 and 0.2, so the answer must be between 0.3 and 0.6.

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In one sentence

The question this lesson answers

What is 0.125 times 3?

Here, a flat is one tenth, a rod is one hundredth, and a small cube is one thousandth.

Transcript

What the lesson says

What is 0.125 times 3?

Here, a flat is one tenth, a rod is one hundredth, and a small cube is one thousandth.

So 0.125 is 1 flat, 2 rods and 5 small cubes.

Times 3 means 3 equal groups of 0.125.

Start with the thousandths: 3 times 5 is 15.

Trade 10 small cubes for 1 rod, which leaves 5 cubes.

Next, the hundredths: 3 times 2 is 6, plus the traded rod makes 7.

Then the tenths: 3 times 1 is 3.

There are no ones, so write 0 and then the decimal point.

So 0.125 times 3 is 0.375.

Check: 0.125 is between 0.1 and 0.2.

So the answer should be between 0.3 and 0.6, and it is.

To multiply a decimal by a whole number, multiply each place, then trade 10 for 1.

Curriculum

Where this fits

British Columbia, Grade 6

Mathematics, Number: multiplication and division of decimalsBC6-MA-21

Previous: Discount and Sale PriceNext: Dividing a Decimal by a Whole Number

The outcomes and strands follow the British Columbia curriculum.

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