Question

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.​

Answer 1

Answer:

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Step-by-step explanation:

1.

All the positive integers are greater than negative integers. Comparison of integers: 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.

2.

From the above number line we can say that 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.

3.

(i) 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.

4.

Signed numbers

Because zero is neither positive nor negative, 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

5.

Answer. 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.

6.

Negative numbers get smaller and smaller the farther they are from zero.