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The square roots of all positive integers are not irrational, for example √4 = 2, which is a rational number.
Now by Pythagoras theorem, the length of OA is √5. Now taking 0 as center and OA as radius, mark an arc on OB, which intersects at C. Hence, OC = √5.
(i) 36/100 = 0.3, Terminating (ii) 1/11 = 0.090909..., Recurring & Non-terminating (ii) 4(1/8) = 4.125, Terminating. (iv) 3/13 = 0. 230769230769230769..., Recurring & Non-terminating (v) 2/11 = 0.181818..., Recurring & Non-terminating (vi) 329/400 = 0.8225, Terminating
(i) 36/100 = 0.3, Terminating (ii) 1/11 = 0.090909…, Recurring & Non-terminating (ii) 4(1/8) = 4.125, Terminating. (iv) 3/13 = 0. 230769230769230769…, Recurring & Non-terminating (v) 2/11 = 0.181818…, Recurring & Non-terminating (vi) 329/400 = 0.8225, Terminating
(ii) 1/11 = 0.090909…, Recurring & Non-terminating
(iii) 4(1/8) = 4.125, Terminating.
Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
The square roots of all positive integers are not irrational, for example √4 = 2, which is a rational number.
The square roots of all positive integers are not irrational, for example √4 = 2, which is a rational number.
See lessShow how √5 can be represented on the number line.
Now by Pythagoras theorem, the length of OA is √5. Now taking 0 as center and OA as radius, mark an arc on OB, which intersects at C. Hence, OC = √5.
Now by Pythagoras theorem, the length of OA is √5. Now taking 0 as center and OA as radius, mark an arc on OB, which intersects at C. Hence, OC = √5.
See lessWrite the following in decimal form and say what kind of decimal expansion each has 36/100
(i) 36/100 = 0.3, Terminating (ii) 1/11 = 0.090909..., Recurring & Non-terminating (ii) 4(1/8) = 4.125, Terminating. (iv) 3/13 = 0. 230769230769230769..., Recurring & Non-terminating (v) 2/11 = 0.181818..., Recurring & Non-terminating (vi) 329/400 = 0.8225, Terminating
(i) 36/100 = 0.3, Terminating
See less(ii) 1/11 = 0.090909…, Recurring & Non-terminating
(ii) 4(1/8) = 4.125, Terminating.
(iv) 3/13 = 0. 230769230769230769…, Recurring & Non-terminating
(v) 2/11 = 0.181818…, Recurring & Non-terminating
(vi) 329/400 = 0.8225, Terminating
Write the following in decimal form and say what kind of decimal expansion each has :1/11
(ii) 1/11 = 0.090909…, Recurring & Non-terminating
(ii) 1/11 = 0.090909…, Recurring & Non-terminating
See lessWrite the following in decimal form and say what kind of decimal expansion each has : 33/8
(iii) 4(1/8) = 4.125, Terminating.
(iii) 4(1/8) = 4.125, Terminating.
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