Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the rational numbers with their equivalent forms. arrowRight arrowRight arrowRight arrowRight

Answer 1

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Solution:

1.

$0.0\overline{5}$ = 0.0555...

Let x = 0.0555...

Then 10x = 0.555.. and 100x = 5.555...

Now, 100x - 10x = 5.555... - 0.555...

or, 90x = 5

or, x = 5/90

or, x = 1/18

i.e., $0.0\overline{5}$ = 1/18

2.

Now, √0.25 = √(0.5²) = 0.5

3.

Using normal division method, we can get

1/7 = 0.142857142857...

i.e., 1/7 = $0.\overline{142857}$

4.

$0.\overline{6}$ = 0.666...

Let, y = 0.666...

Then 10y = 6.666...

So 10y - y = 6.666... - 0.666...

or, 9y = 6

or, y = 6/9

or, y = 2/3

i.e., $0.\overline{6}$ = 2/3

Answer 2

A

Solution:

1.

= 0.0555...

Let x = 0.0555...

Then 10x = 0.555.. and 100x = 5.555...

Now, 100x - 10x = 5.555... - 0.555...

or, 90x = 5

or, x = 5/90

or, x = 1/18

i.e.,  = 1/18

2.

Now, √0.25 = √(0.5²) = 0.5

3.

Using normal division method, we can get

1/7 = 0.142857142857...

i.e., 1/7 =

4.

= 0.666...

Let, y = 0.666...

Then 10y = 6.666...

So 10y - y = 6.666... - 0.666...

or, 9y = 6

or, y = 6/9

or, y = 2/3

i.e.,  = 2/3

Step-by-step explanation:

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