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1st year maths homework

  • 30-09-2011 5:55pm
    #1
    Closed Accounts Posts: 114 ✭✭


    Hi, Im trying to help my daughter with her homework and failing miserably. Im sure the maths whizz's out there will find this simple but I havent a clue what they are looking for, not looking for an answer, just an explaination.....

    Given that 420/14=30, find the value of each of the following:
    420/30


    theres more similar to this but just a how to explaination if anyone has the time Ide be really greatful, thanks in advance


Comments

  • Closed Accounts Posts: 114 ✭✭titchy


    Just seen this example in her copy:

    324/36=9

    question: 324/9

    ans: 324/9/4
    324/36*4
    9*4=36


  • Moderators, Education Moderators, Motoring & Transport Moderators Posts: 7,396 Mod ✭✭✭✭**Timbuk2**


    That's just one way of dividing numbers without using a calculator.

    For Example 420/14 (which is usually written as [latex]\displaystyle\frac{420}{14}[/latex] is the same as [latex]\displaystyle\frac{420}{(7)(2)}[/latex] (the brackets indicating multiplication.

    It's easier to divide by 2 first, and 420 divided by 2 is 210. So now you have 210/7. 7 divides 21 3 times, so it must divide 210 30 times.

    Therefore 420/14 = 30.

    420/30 is 14. We just worked out that there are 30 '14's in 420, so there must be 14 '30's (as 14*30 = 420).

    Obviously she should do whichever method her teacher thought her, but this method of division is very intuitive - she probably did this method in primary school - I imagine the exercise she is doing at the moment is to get them thinking about factors.


  • Registered Users, Registered Users 2 Posts: 1,595 ✭✭✭MathsManiac


    The example in the copy doesn't seem very helpful in terms of the way it's been worked out.

    My guess is that the idea of these questions is to try to get the student to understand the link between multiplication and division.

    If 420 divided by 14 is 30, then it follows that 420 divided by 30 has to be 14.

    Both of this "division questions" can be seen to be connected to the multiplication statement that 14 X 30 = 420, (or 30 X 14 = 420).

    If the other questions in the set follow a similar pattern, then I'd be fairly sure that this is what it's about.


  • Closed Accounts Posts: 114 ✭✭titchy


    Sorry not sure how to 'THANK' someones reply....**Timbuk2**
    Your written explaination was exactly how the teacher wanted them done, but she could not follow it today.

    She could, however, follow your written explaination and understands them now,
    Thanks.

    also thanks to MathsManiac for taking the time to reply.


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