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1-3 Exploring Real Numbers

1-3 Exploring Real Numbers. Classifying Numbers. 1, 2, 3, 4…. Let’s start on the inside…what are natural numbers?. Natural numbers are the counting numbers… 1, 2, 3, 4 …. Classifying Numbers. 0, 1, 2, 3…. 1, 2, 3, 4…. Next come the whole numbers.

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1-3 Exploring Real Numbers

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  1. 1-3 Exploring Real Numbers

  2. Classifying Numbers 1, 2, 3, 4… Let’s start on the inside…what are natural numbers? Natural numbers are the counting numbers… 1, 2, 3, 4 …

  3. Classifying Numbers 0, 1, 2, 3… 1, 2, 3, 4… Next come the whole numbers Whole numbers are zero and the natural numbers.

  4. -2, -1, 0, 1, 2… Classifying Numbers 0, 1, 2, 3… 1, 2, 3, 4… Integers Integers are whole numbers and their opposites.

  5. -2, -1, 0, 1, 2… Classifying Numbers 0, 1, 2, 3… 1, 2, 3, 4… Rational numbers can be written in the form and Includes all repeating and terminating decimals

  6. -2, -1, 0, 1, 2… Classifying Numbers 0, 1, 2, 3… 1, 2, 3, 4… π  Irrational numbers cannot be written in the form Includes all non-repeating and non-terminating decimals.

  7. -2, -1, 0, 1, 2… Classifying Numbers 0, 1, 2, 3… 1, 2, 3, 4… π  Real numbers are all the numbers on the continuous number line with no gaps. Real numbers may be rational or irrational.

  8. -2, -1, 0, 1, 2… Classifying Numbers 0, 1, 2, 3… 1, 2, 3, 4… π  Real numbers are all the numbers on the continuous number line with no gaps. Real numbers may be rational or irrational. So what other type of number can there be?

  9. Real numbers are all the numbers on the continuous number line with no gaps. Real numbers may be rational or irrational. Classifying Numbers So what other type of number can there be? Imaginary numbers 

  10. Imaginary numbers can be fun!

  11. Inequality There are 5 types: Comparing Numbers > greater than greater than or equal to < less than less than or equal to not equal to

  12. Absolute Value is a distance It tells how far a number is from zero A distance can NEVER be negative

  13. Opposites – “live” on opposite sides of zero. Zero doesn’t have an opposite.

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