Hong Kong

Stage 4 - Stage 5

Observe the pattern in the table and answer the questions that follow.

Fraction | $\frac{1}{9}$19 | $\frac{2}{9}$29 | $\frac{3}{9}$39 | $\frac{4}{9}$49 | $\frac{5}{9}$59 |
---|---|---|---|---|---|

Decimal | $0.11...$0.11... | $0.22...$0.22... | $0.33...$0.33... | $a$a |
$b$b |

a

By continuing the pattern, what number should go in place of $a$`a`?

$0.4$0.4

A

$0.44...$0.44...

B

$0.44$0.44

C

b

By continuing the pattern, what number should go in place of $b$`b`?

$0.55$0.55

A

$0.5$0.5

B

$0.55...$0.55...

C

Easy

Less than a minute

Observe the pattern in the table and answer the questions that follow.

Convert $\frac{1}{3}$13 to a recurring decimal.

Convert $\frac{2}{3}$23 to a recurring decimal.

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