Sir Emmy Online Mathematics A. K. A the Calculus

25/05/2026

In Mathematics, a 2-dimensional (2D) figure is a flat shape with length and width as the only dimensions.
It's a figure without thickness or depth.
They are: square, rectangle, triangle, circle.

While, a 3-dimensional (3D) figure is a solid shape with length, width, and height (depth).
It occupies space and can be held.
They are: cube, cuboid, sphere, cylinder, cone.

Summarily,
A 2D figures are flat shapes.

While, a 3D figures are solid shapes.
See you in my next post on the properties of 2 and 3 Dimensional figure.
Bye:

25/05/2026

Let's discuss about shapes
1. 2-Dimensional Shapes
2. 3-Dimensional Shapes

09/09/2025

Good morning beautiful family, hope we are doing great, you are all welcome from the break, you can now post any maths question for assistance here, we will help you solve them

18/03/2024

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18/03/2024

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18/03/2024

Good evening, here are the LAWS of indices, study them as we be using them to solve some problems.
Let's meet in the class

Law 1:
a^m × a^n = a^m+n

It means when you are to multiply two or more numbers written in index form and having same base, write one of the base and add their powers.

Examples, 10^2 × 10^3 = 10^2+3 = 10^5 ANS

Law 2:
a^m ÷ a^n = a^m-n

It means, whenever you are to divide two or more numbers written in index form and having same base, write one of the base and subtract their powers

Examples: 10^5 ÷ 10^3 = 10^5-3 = 10^2

Law 3:
(a^m)^n = a^m×n

It means if an index is raised to the power, then we multiply the two powers

Examples: (10^2)^3 = 10^2×3 = 10^6

Law 4:
a^0 = 1,

i.e any number raised to power of zero is equal to 1

So, 10^0=1, 1000^0=1, a^0=1 etc

Law 5:
a^-n = 1/a^n

It means if the index or power is negative, change the index to positive by taking positive inverse of the index

Examples: 2^-1= 1/2, 5^-1= 1/5 etc

Law 6:
a^m/n = n√a^m

It means, root n into a raise to power m

Examples:
8^2/3= 3√8^2 = 3√8×8 = 3√64 =4 ANS

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18/03/2024

Good evening everyone, kindly follow my page for updates on Mathematical Economics for beginners.