Essential Question

How can we compare, order, sort, and convert real numbers?

Learning Intention

We will categorize real number into set and subsets, order on and off a number line and convert between scientific notation and standard form.

Language Objective

Success Criteria

I can identify rational vs. irrational numbers

I can take a square root of a given number

I can place rational numbers on a number line

I can convert standard from into scientific notation

I can convert scientific notation into standard form

Let's review categorizing real numbers.

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Lets Recap

Natural Numbers- Numbers you can count on your hands and feet.

Whole Numbers- Starts with 0, positive values

Integers- Positive and negative whole numbers including 0.

Rational- Any number that can be written as a fraction and all terminating decimals.

Irrational- Non perfect square roots, non-terminating decimals, and numbers that cannot be written as a fraction.

Real Numbers

Let's review perfect squares vs. Non-perfect squares.

Lets Recap

Perfect squares are the result of multiplying the side length times itself.

Non-Perfect Squares result in irrational values.​

If given an area take the square root to get the exact side length

Perfect Squares & Square Roots

Let's review comparing and ordering real numbers.

Lets Recap

Ascending - Going up, increasing, smallest to largest, coldest to hottest, etc.

Descending - Going Down, decresding, largest to smallest, hottest to coldest, etc.

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Comparing & Ordering

Let's review Scientific Notation

Lets Recap

1. Place a decimal between the first 2 non-zero digits

2. Multiply by 10

3. Exponent (number of times decimal moves)

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Scientific Notation