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We can multiply two of the numbers together: let’s choose 3.6×8.5.

Write the numbers as (3+0.6)(8+0.5). We need to multiply like this:

3(8+0.5)+0.6(8+0.5) to make the arithmetic easier: 24+1.5+4.8+0.3. Note where the decimal point is.

When we add together just the decimal fractions we get 1.6, and when we add the whole numbers we get 29 so 29+1.6=30.6.

Now we take the remaining number and multiply by the result above: 0.54×30.6.

We write this as 0.54×(30+0.6)=0.54×30+0.54×0.6. 30 is 3×10 and to multiply by 10 we just move the decimal point of 0.54 one place to the right: 5.4 then we can multiply by 3: 0.54×30=5.4×3=16.2.

To multiply 0.54 by 0.6 we multiply 54 by 6=324. We add the number of decimal places from the two numbers: 0.54 has 2 decimal places and 0.6 has 1 decimal place, 2+1=3, so we take our product 324 and count three decimal places from the right to give us 0.324.

So we finally add 16.2 to 0.324 to get 16.524.

by Top Rated User (680k points)

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