Arithmetic and Number sense

• Natural numbers are used to count objects
• the smallest natural number is 1. Meanwhile, there’s no largest natural number.
• What are not natural numbers?

  • 0
  • negative numbers
  • fractions and decimals
• Whole numbers are counting numbers, including 0
• Explain the whole concept about natural numbers and whole numbers.

  • All natural numbers are whole numbers, and all whole numbers are natural numbers except 0
• Integers are positive and negative whole numbers, including 0.
• Fractions and decimals are not integers.
• Any number that can be expressed as a ratio of two integers is a rational number, such that when the first integer is divided by the second integer, the result is the original number.
• A rational number is also a number that can be written as a fraction with integers.
• A rational number is any number that you can express in the form p⁄q such that p and q are both integers and q is not equal to 0.
• The only exception on identifying a rational number is if the number is repeating but with pattern
• An irrational number cannot be expressed as a fraction with integers.
• An irrational number is the number without pattern. Example is pi.
• The real number line is a visual representation of the set of real numbers.
• An imaginary number is the square root of a negative number.
• Why is it called an "imaginary number?"

  • Because a square root of a number should be non-negative
• complex number such as 3 + 5i, is the combination of a real number and an imaginary number
• What is the order of numbers?

  A) Real numbers

  B) Rational numbers

  C) Irrational numbers

  D) Fractions and decimals

  E) Integers

  F) Negative whole number

  G) 0

  H) positive whole number