Q1 of 23 Page 4

Write the following rational numbers in decimal form.

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The above solution is for when we multiply the quotient by negative (-) sign. We get the solution for .


∴


Note: “A important note in every example except 4 we get solution recursive that is because when we divide it the remainder never becomes zero as in example 4 and remember the numbers which are repeated again and again should be given symbol above them.”


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Write the following rational numbers in decimal form.

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Write the following rational numbers in decimal form.

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Write the following rational numbers in decimal form.

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 1

The number √2 is shown on a number line. Steps are given to show √3 on the number line using √2. Fill in the boxes properly and complete the activity.

Activity :


● The point Q on the number line shows the number.......


● A line perpendicular to the number line is drawn through the point Q.


Point R is at unit distance from Q on the line.



● Right angled ∆ORQ is obtained by drawing seg OR.


● l(OQ) = √2, l(QR) = 1


∴ by Pythagoras theorem,


[l(OR)]2 = [l(OQ)]2 + [l(QR)]2


= 2 + 2 = +


= ∴ l(OR) =


Draw an arc with center O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number √3.