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Essence of Math

Toolness Of Math

The Number Line

Fractions

Negative Numbers

Irrational Numbers

Variables

Equations

Functions

Modulus

Binary Numbers

Complex Plane

PDE

Essence of Math

Toolness Of Math

The Number Line

Fractions

Negative Numbers

Irrational Numbers

Variables

Equations

Functions

Modulus

Binary Numbers

Complex Plane

PDE

**Problem 1**: What number is at the mid-point of the real number line?
**Ans: 0**.

**Problem 2**: what numbers are at the end points of the real number line?
**Ans: -∞ is at the left end-point and ∞ is at the right end-point.**.

**Problem 3**: what is the general name for the numbers to the right of the mid-point of the real number line?
**Ans: positive numbers (+ve numbers).**

**Problem 4**: what is the general name for the numbers to the left of the mid-point of the real number line?
**Ans: negative numbers (-ve numbers). **

**Problem 5**: classify all the numbers of the real number line into two primary groups. indicate a member of each group.
**Ans: rational numbers and irrational numbers.**

**Problem 6**: broadly classify rational numbers into two groups.
**Ans: whole numbers and ratios of whole numbers.**

**Problem 7**: what ranges on the real number line represent fractions?
**Ans: the range between -1 and 0, -1<x<0; and the range between 0 and 1, 0<x<1.**

**Problem 8**: If n is an arbitrary whole number, what is the whole number immediately before n and what is the whole number immediately after n?
**Ans: n-1 is before n; n + 1 is after n.**

**Problem 9**: Classify the four basic arithmetic operations into two arithmetic operations.
**Ans: addition and subtraction because multiplication is a form of addition and division is a form of subtraction.**

**Problem 10**: Given that a and b are numbers, if the following are true , what is the value of a?

b + a =b

a - b = -b

b x a = 0

b/a is undefined.
**Ans 10: a = 0. **

Peter Oye Sagay