Represent numbers to 30 as rectangular, square or triangular dot pastems. Represent these
Write the first 5 numbers that can be arranged as triangles using the dot patterns.
Answers
Answer:
Step-by-step explanation:
A pattern is a sequence of numbers or picture.
We can arrange numbers in elementary shapes consisting of dots.
Every number can be arranged as a line.
Some numbers like 3, 6 and 10 can be arrange as a triangle.
3. Some numbers like 4, 9 and 16 can be arrange as a square
4. Some numbers like 6, 8 and 10 can be arrange as a rectangle.
Observe the following table.
Number
Line
Triangle
Square
Rectangle
2
YES
NO
NO
NO
3
YES
YES
NO
NO
4
YES
NO
YES
YES
5
YES
NO
NO
NO
6
YES
YES
NO
YES
7
YES
NO
NO
NO
8
YES
NO
NO
YES
9
YES
NO
YES
NO
10
YES
YES
NO
YES
Patterns observations:
Multiply 3 by 9, 99, 999, 9999. Study the pattern.
Solution: 3 x 9 = 3 x (10 – 1) = 27
3 x 99 = 3 x (100 – 1) = 297
3 x 999 = 3 x (1000 – 1) = 2997
3 x 9999 = 3 x (10000 – 1) = 29997
Observe the following pattern.
44 x 5 = 44 x 10/2 = 22 x 10 = 220 x 1
44 x 10 = 44 x 20/2 = 22 x 20 = 220 x 2
44 x 15 = 44 x 30/2 = 22 x 30 = 220 x 3
44 x 20 = 44 x 40/2 = 22 x 40 = 220 x 4
i hope you understood