Please Could someone tell me what:

1. A square number is
2. A cube number is
3. A triangle number is

Thank you

Square numbers are the result of squaring an integer (IxI)

Cube numbers are the result of the cube of an integer (IxIxI)

A triangular number is a number such that the shape of an equilateral triangle can be formed by the number of dots.
Difficult to draw here, but the first three are 1,3,6 as

.

.
.
.

.
.
. .
.
.

Is this OK? Next one is?

Oops the dots didn't work.

I usually illustrate triangular numbers with the example of setting up a triangle of billiard balls
with 1 row you have 1 ball
with 2 rows you have 3 balls
with 3 rows you have 6 balls
with 4 rows you have 10 balls
etc.

Sure, let me explain in more detail:

1. A square number is a number that results from multiplying an integer by itself. In other words, it is the product of an integer multiplied by itself. For example, 1*1 = 1, 2*2 = 4, 3*3 = 9, and so on. So, if you want to find out if a number is a square number, you can try multiplying an integer by itself and see if you get the given number as the product.

2. A cube number is a number that results from multiplying an integer by itself twice. In other words, it is the product of an integer multiplied by itself and then multiplied by itself again. For example, 1*1*1 = 1, 2*2*2 = 8, 3*3*3 = 27, and so on. To determine if a number is a cube number, you can multiply an integer by itself twice and check if you get the given number.

3. A triangular number is a number that can be represented in the form of an equilateral triangle, where the dots or objects are arranged in layers or rows. The first triangular number is 1, which represents a single dot. The second triangular number is 3, as it can form a triangle with two rows, each having one dot in the first row and two dots in the second row. The third triangular number is 6, as it can form a triangle with three rows, each having one dot in the first row, two dots in the second row, and three dots in the third row. You can find the nth triangular number by using the formula n(n+1)/2.

I hope this clears up any confusion and helps you understand the concept of square, cube, and triangular numbers. Let me know if you have any further questions!