Find the value of 0.3 × 0.2

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This question asks us to multiply 2 decimal numbers

The steps involved with this question include:

Step 1) Manipulate the numbers we are working with to give us an easier calculation.

Step 2) Once we have done our easier calculation we need to reverse the manipulation we did in order to get the correct answer.



Step 1) 0.3 multiplied by 0.2 is a difficult calculation, however 2 multiplied by 3 is a much easier calculation. If we change our 0.3 to 3 and our 0.2 to 2 we will have a much easier time finding the answer.

To manipulate our original number we will multiply 0.3 by 10 to give us 3 and our 0.2 also by 10 to give us 2.

Having done this, our calculation becomes 3 times 2 which is equal to 6.

This is not our final answer

Step 2) Since we multiplied both 0.3 and 0.2 by 10, we must do the opposite to the answer of 6.

First we do 6 divided by 10 which gives us 0.6. This has reversed one multiplication by 10 however we multiplied by 10 twice, so we need to divide by 10 again.

0.6 divided by 10 is 0.06 and this is our final answer.

Irfan S. GCSE Maths tutor, 13 plus  Maths tutor, 11 Plus Maths tutor

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is an online 13 Plus Maths tutor with MyTutor studying at Manchester University

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