SEARCH HOME
Math CentralQuandaries & Queries

search

Question from telly, a student:

how to do this sum 0.24*0.398

We have two responses for you

Telly,

Think of 0.24 as 24/100 and 0.398 as 398/1000 then

0.24*0.398

Thus you can multiply 0.24 and 0.398 my multiplying 24 and 398 and then dividing by 100,000. Thus calculate 24 × 398 and then move the decimal place 5 places to the left.

Penny

 

Telly,

Use exactly the same method you would use to find

24 * 398

but adjust the place value. Three ways to do this:

  1. Work out the place value for each partial product. Thus

    0.24
    0.398
    ----------
    [.008*0.24 =] 0.00192
    (etc)
    Your teacher may prefer this method if you have to show your work in detail

  2. You can actually find 24 * 398 and fix place value after the calculation is completed. To get from 0.24 to 24 you have to shift the place value 2 places. To get from 0.398 to 398 you have to shift it 3 places. So to get the final answer you have to shift back 5 places.

  3. 0.24 is about a quarter and 0.398 is about 0.4. Use this to estimate the answer, find 24 * 398, and shift the place value till your answer is near your estimate.

Good Hunting!
RD

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS