Yes, zero is a rational number. It can be written in the form of p/q. For example: 0/1, 0/2, 0/5 are rational numbers, where p and q are integers and q ≠ 0. Video explanation of Exercise 1.1
Yes, zero is a rational number. It can be written in the form of p/q. For example: 0/1, 0/2, 0/5 are rational numbers, where p and q are integers and q ≠ 0.
First Method: To get six rational number between 3 and 4, the denominator must be 6 + 1 = 7. Here, 3 = (3 × 7)/7 = 21/7 = and 4 = (4 × 7)/7 = 28/7 So, the six rational can be obtained by changing numerator from 22 to 27. Therefore, the rational numbers are: 22/7, 23/7, 24/7, 25/7, 26/7, 27/7 SecondRead more
First Method: To get six rational number between 3 and 4, the denominator must be 6 + 1 = 7.
Here, 3 = (3 × 7)/7 = 21/7 = and 4 = (4 × 7)/7 = 28/7
So, the six rational can be obtained by changing numerator from 22 to 27.
Therefore, the rational numbers are: 22/7, 23/7, 24/7, 25/7, 26/7, 27/7
Second Method: six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6
By converting these numbers into decimal, we have 3/5 = 0.6 and 4/5 = 0.8 Hence, five rational numbers between 3/4 and 4/5 are 0.61, 0.62, 0.63, 0.64 and 0.65.
By converting these numbers into decimal, we have
3/5 = 0.6 and 4/5 = 0.8
Hence, five rational numbers between 3/4 and 4/5 are 0.61, 0.62, 0.63, 0.64 and 0.65.
(i) True, as whole number is the collection of Natural numbers and 0. (ii) False, because negative integers are not whole numbers. (iii) False, rational numbers like 3/5, 2/3, 7/9 are not the whole numbers.
(i) True, as whole number is the collection of Natural numbers and 0.
(ii) False, because negative integers are not whole numbers.
(iii) False, rational numbers like 3/5, 2/3, 7/9 are not the whole numbers.
(i) True, as the collection of all rational and irrational number is real numbers. (ii) False, there are infinite number on number line between √2 and √3 that can't be represented as √m, m being a natural number. (iii) False, because real numbers can be rational also.
(i) True, as the collection of all rational and irrational number is real numbers.
(ii) False, there are infinite number on number line between √2 and √3 that can’t be represented as √m, m being a natural number.
(iii) False, because real numbers can be rational also.
Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
Yes, zero is a rational number. It can be written in the form of p/q. For example: 0/1, 0/2, 0/5 are rational numbers, where p and q are integers and q ≠ 0. Video explanation of Exercise 1.1
Yes, zero is a rational number. It can be written in the form of p/q. For example: 0/1, 0/2, 0/5 are rational numbers, where p and q are integers and q ≠ 0.
Video explanation of Exercise 1.1
See lessFind six rational numbers between 3 and 4.
First Method: To get six rational number between 3 and 4, the denominator must be 6 + 1 = 7. Here, 3 = (3 × 7)/7 = 21/7 = and 4 = (4 × 7)/7 = 28/7 So, the six rational can be obtained by changing numerator from 22 to 27. Therefore, the rational numbers are: 22/7, 23/7, 24/7, 25/7, 26/7, 27/7 SecondRead more
First Method: To get six rational number between 3 and 4, the denominator must be 6 + 1 = 7.
See lessHere, 3 = (3 × 7)/7 = 21/7 = and 4 = (4 × 7)/7 = 28/7
So, the six rational can be obtained by changing numerator from 22 to 27.
Therefore, the rational numbers are: 22/7, 23/7, 24/7, 25/7, 26/7, 27/7
Second Method: six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6
Find five rational numbers between 3/5 and 4/5.
By converting these numbers into decimal, we have 3/5 = 0.6 and 4/5 = 0.8 Hence, five rational numbers between 3/4 and 4/5 are 0.61, 0.62, 0.63, 0.64 and 0.65.
By converting these numbers into decimal, we have
See less3/5 = 0.6 and 4/5 = 0.8
Hence, five rational numbers between 3/4 and 4/5 are 0.61, 0.62, 0.63, 0.64 and 0.65.
State whether the following statements are true or false. Give reasons for your answers.
(i) True, as whole number is the collection of Natural numbers and 0. (ii) False, because negative integers are not whole numbers. (iii) False, rational numbers like 3/5, 2/3, 7/9 are not the whole numbers.
(i) True, as whole number is the collection of Natural numbers and 0.
See less(ii) False, because negative integers are not whole numbers.
(iii) False, rational numbers like 3/5, 2/3, 7/9 are not the whole numbers.
State whether the following statements are true or false. Justify your answers.
(i) True, as the collection of all rational and irrational number is real numbers. (ii) False, there are infinite number on number line between √2 and √3 that can't be represented as √m, m being a natural number. (iii) False, because real numbers can be rational also.
(i) True, as the collection of all rational and irrational number is real numbers.
See less(ii) False, there are infinite number on number line between √2 and √3 that can’t be represented as √m, m being a natural number.
(iii) False, because real numbers can be rational also.
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.
See less