Number 10
3 marks · EasyThe table below shows three different numbers. Complete the table by stating for each number whether it is rational or irrational, and expressing any rational number as a fraction in its simplest form.
| Number | Rational or Irrational? | If rational, write as a fraction |
|---|---|---|
| 0.42 | ||
| 0.151515... |
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
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(row1) rational, · must show rational, 21/50
(row2) irrational · must show irrational
(row3) rational, · must show rational, 15/99
Common mistakes: Writing terminating decimals as irrational; Incorrect fraction forms
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Marking points
B1 · 1 mark · Identifies 0.42 as rational and writes it as .
B2 · 1 mark · Identifies as irrational.
B3 · 1 mark · Identifies 0.151515... as rational and writes it as .
Worked solution
| Number | Rational or Irrational? | If rational, write as a fraction |
|---|---|---|
| 0.42 | rational | |
| irrational | ||
| 0.151515... | rational |