The image you provided is a reference chart that defines different types of numbers. Since there is no specific question asked (like "Is 15 a prime number?"), I will explain how to use this chart to solve common homework problems involving these number types.
Here is how to understand each type based on the chart:
1. Odd vs. Even Numbers
*
How to tell: Look at the very last digit of the whole number.
*
Odd: Ends in 1, 3, 5, 7, or 9. (Example: 2
3 is odd).
*
Even: Ends in 0, 2, 4, 6, or 8. (Example: 4
6 is even).
2. Positive vs. Negative Numbers
*
How to tell: Look for a minus sign (-) or compare it to zero.
*
Positive: Greater than 0. Usually has no sign or a plus (+) sign. (Example: 5, 100.1).
*
Negative: Less than 0. Always has a minus (-) sign. (Example: -12, -890.12).
3. Integers vs. Decimals
*
Integers: These are "clean" whole numbers. They do not have fractions or decimal parts.
* *Note:* Integers can be positive (5), negative (-5), or zero (0).
*
Decimals: These numbers have a decimal point with digits after it.
* *Example:* 1.2, 3.45, 10.1112.
4. Prime Numbers
*
Definition: A positive whole number that can only be divided evenly by
1 and
itself.
*
Test: Try dividing the number by small numbers like 2, 3, or 5. If any of them divide evenly (with no remainder), it is
not prime.
* *Example:* 7 is prime because only $1 \times 7 = 7$.
* *Example:* 9 is
not prime because $3 \times 3 = 9$.
5. Square Numbers
*
Definition: The result of multiplying a number by itself once ($number \times number$).
*
Examples from chart:
* $1 \times 1 = 1$
* $2 \times 2 = 4$
* $3 \times 3 = 9$
* $4 \times 4 = 16$
6. Cube Numbers
*
Definition: The result of multiplying a number by itself three times ($number \times number \times number$).
*
Examples from chart:
* $1 \times 1 \times 1 = 1$
* $2 \times 2 \times 2 = 8$
* $3 \times 3 \times 3 = 27$
7. Triangular Numbers
*
Definition: Numbers that fit into a triangle shape pattern. You find them by adding consecutive numbers starting from 1.
*
Pattern:
* 1st number:
1
* 2nd number: $1 + 2 =$
3
* 3rd number: $1 + 2 + 3 =$
6
* 4th number: $1 + 2 + 3 + 4 =$
10
How to use this for homework:
If your teacher asks, *"What type of number is 25?"*, you check the list:
1. Is it odd or even? It ends in 5, so it is
Odd.
2. Is it positive? Yes, it's greater than 0.
3. Is it an integer? Yes, it's a whole number.
4. Is it prime? No, because $5 \times 5 = 25$.
5. Is it a square number?
Yes, because $5 \times 5 = 25$.
So, 25 is an
Odd, Positive, Integer, Square Number.
Parent Tip: Review the logic above to help your child master the concept of types of numbers and examples.
