Monday, 27 July 2015

Decimal Division

Today we looked at how we divide decimals. As with addition, subtraction, and multiplication, we do this in a similar way to how we would divide if we had whole numbers. For a refresher on how we do that, the following links are quite helpful.

Division: http://www.wikihow.com/Do-Short-Division#/Image:Do-Short-Division-Step-4-Version-2.jpg
http://www.mathsisfun.com/numbers/division.html
http://www.youtube.com/watch?v=2X0Cjy7oEgw

Now we looked at doing division using decimals. An example of this could be 8.942 divided by 2.




Another example could be to divide 37.14 by 5.



A final example could be to divide 4.96 by 0.02. This one is slightly more difficult, because our divisor (0.02) is not a whole number. To get around this, we can multiply both our divisor and our dividend (4.96) by a number which will make our divisor a whole number. The numbers we generally multiply by are factors of 10 (so 10, 100, 1000, 10000, etc). In this case we want to multiply both numbers by 100, because multiplying 0.02 by 100 gives us 2, which is a nice easy whole number to divide by.




Now, we multiplied by 100 when we had 0.02, because that made 0.02 a nice easy number. If however, we had a divisor of say 0.0007, we would multiply by 10000, because this would make 0.0007 a nice easy number (7) to divide by. It is very important that we multiply both our divisor and dividend by the same number. It doesn't matter what the number is, as long as we multiply both by this same number, we will always get the correct answer.

Now, for homework we are still working out of that same booklet. If you have not finished the work in section 4.5 on multiplying with decimals, complete that first. Then move onto section 4.6 which is dividing with decimals. We will be doing questions 1 and 3 (the first column only for these) as well as questions 6, 7, and 9. If you are after some harder extension problems have a look at 17 and 18. By Thursday's lesson I need all for 4.5 (Multiplying) complete as well as the first columns of questions 1 and 3 in section 4.6 (Dividing).

As always, if you have any questions feel free to comment on here, or email or chat to me in person.

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