Learning Objectives:

__Math Tutoring on Scientific Notation__

**Scientific Notation**, also known as **Exponential Notation**, provides a useful way of writing very large or very small numbers.

Standard **Scientific Notation** for a number is in the form: **,** where **‘a’** is at least 1 but less than 10. i.e. **(****). ‘a’** is called **coefficient** or **significand** and is expressed in **Decimal Notation**. **‘m’** is an integer.

*To convert from Scientific Notation to Decimal Notation:*

1. If **‘m’** is positive the decimal point moves right m places in **Decimal notation**.

2. If **‘m’** is negative, the decimal point moves left places.

3. Convert to **Decimal Notation.**

*To convert from Decimal Notation to Scientific Notation:*

1. Move the decimal to form **‘a’** such that **‘a’** is at least 1 but less than 10. i.e. **(****).**

2. The number of placed the decimal moved will indicate the value of **‘m’**. If we move the decimal left **‘m’** will be positive and if move the decimal right, **‘m’** will be negative.

3. Convert to **Scientific Notation**.

*Multiply numbers together in Scientific Notation:*

*Divide numbers in Scientific Notation:*

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** (ab) must be at least 1 but less than 10. i.e. (****).**

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**Hook Questions:**

*1. **What is a Scientific Notation?*

*2. **How do you convert Scientific Notation to Decimal Notation and vice-versa?*

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