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This activity works perfectly for fractions whose denominator happens to be equal to 10. So how then do we treat fractions whose denominator is some other number? Let us look at the fraction 1/2. To write 1/2 as a decimal number, we first consider the first digit to the right (the 1/10 position) of the decimal as before. Since 1/2 is less than 1, we know that there will be a 0 in the one’s position. To find the value for the 1/10 position, we need to find a fraction whose denominator is 10, and whose numerator is less than 10. We want the fraction to be equal to, or “closest-under” the value of 1/2. With a little intuition or trial and error, you will see that 5/10 is the perfect choice, because its value is exactly equal to 1/2. Our decimal number then will have a 0 in the one’s place and a 5 in the 1/10 place, thereby appearing as 0.1.

Decimals

Numbers and Arithmetic




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