Learning Objectives:

__Math Tutoring on Multiplying and Dividing with Decimals__

__The procedure to multiply Decimals:__

1. Multiply the numbers just as you would multiply **Whole Numbers**.

2. Find the sum of the **Decimal Places** in the **Factors**.

3. Place the **Decimal Point** in the **Product** so that the product has the same number of **Decimal Places** as the sum of **Decimal Places**. We may need to write zeros to the left of the number.

__Multiplying a Decimal by a Power of 10:__

To **Multiply** a **Decimal** by a **Power of 10**, we have to move the **Decimal Point** to the *Right*** **of the same number of places as the number of zeros in the

*Division of Decimals:*

For any **Real Number ‘a’, ‘b’ & ‘c’** and if **,**

then **‘c’** is the **Dividend**, **‘b’** is the **Divisor** and **‘a’** is the **Quotient**.

*Dividing a Decimal by a Whole Number:*

1. Place the **Decimal Point** in the answer directly above the **Decimal Point** in the **Dividend**.

2. Divide as if there were no **Decimal Point** involved.

Dividing a Decimal by a Decimal Number:

1. If the **Divisor** is a **Decimal**, change it to a **Whole Number** by moving the **Decimal Point** to the right as many places as necessary.

2. Then move the **Decimal Point** in the dividend to the right the same number of places.

3. Place the **Decimal Point** in the answer directly above the **Decimal Point** in the **Dividend**.

4. Divide until the **Remainder** becomes zero, or the **Remainder** repeats itself, or the desired number of **Decimal Places** is achieved.

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**Hook Questions:**

*1. **What are the procedures to Multiply Decimals?*

*2. **How is a Decimal Number multiplied by a Power of 10?*

*3. **What are the procedures to divide a Decimal Number by a Decimal and Whole Number*

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