From the above exercise, Rohini arrived at the following conclusions :
(a) Every positive integer is larger than every negative integer.
(b) Zero is less than every positive integer.
(c) Zero is larger than every negative integer.
(d) Zero is neither a negative integer nor a positive integer.
(e) Farther a number from zero on the right, larger is its value.
(f) Farther a number from zero on the left, smaller is its value.
Do you agree with her? Give examples.
Answers
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ANSWER
Yes I do agree with her.
(a) Every positive integer is larger than every negative integer.
eg: When we represent integers on the number line, we observe that the value of the number increases as we move towards right and decreases as we move towards left.
(b) Zero is less than every positive integer.
eg: 0 separates the positive and negative integers. 0 is on the left of all the positive integers. So, 0 is less than every positive integer.
(c) Zero is larger than every negative integer.
eg: Zero is less than every positive integer, and greater than every negative integer. Zero is neither positive nor negative. For example, 0 < 1, 0 < 10, etc.
(d) Zero is neither a negative integer nor a positive integer.
eg: The term nonnegative is sometimes used to refer to a number that is either positive or zero, while nonpositive is used to refer to a number that is either negative or zero. Zero is a neutral number.
(e) Farther a number from zero on the right, larger is its value.
eg: When we draw a number line : with 0 , +ve and -ve numbers , The farther a number is from 0 towards the right side greater will be the value of the number. farther a number is from 0 towards the left side , lesser will be the value of the number.
(f) Farther a number from zero on the left, smaller is its value.
eg: Negative numbers get smaller and smaller the farther they are from zero.
This is not my answer, when I saw this question without a answer I thought to complete it.