Question

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Write the number 1.8 in the form a/b, using integers, to show that it is a rational number. a. 18/100 b.8/10 c.18/10 d.8/11

Answer 1

When you divide a number by 10^n (i.e. 1 followed by n zeroes), you move the decimal point separator n places to the left (assuming that integers have the decimal separator at the end, as in 2 = 2.0).

So, the first option is to divide 18 by 100. So, we start from 18=18.0 and move the separator two places to the left:

`18 \to 0.18`

The second option is to divide 8 by 10. So, we start from 8=8.0 and move the separator one place to the left:

`8 \to 0.8`

The third option is to divide 18 by 10. So, we start from 18=18.0 and move the separator one place to the left:

`18 \to 1.8`

So this is the correct option.