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Question

Write the following numbers in non-terminating, recurring from.

(1) 0.16
(2) 7.439
(3) 10.605
(4) 0.058
(5) 1.06
(6) 0.0002

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Solution

A terminating decimal number can be written in a non-terminating recurring decimal form by adding zeros as the recurring digits at the end of the number.

(1) 0.16
0.16 can be written in non-terminating, recurring decimal form as 0.160 .

(2) 7.439
7.439 can be written in non-terminating, recurring decimal form as 7.4390 .

(3) 10.605
10.605 can be written in non-terminating, recurring decimal form as 10.6050 .

(4) 0.058
0.058 can be written in non-terminating, recurring decimal form as 0.0580 .

(5) 1.06
1.06 can be written in non-terminating, recurring decimal form as 1.060 .

(6) 0.0002
0.0002 can be written in non-terminating, recurring decimal form as 0.00020 .

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