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Here are some tips for Decimal Multiplication, which aligns with Florida state standards:

**Decimal Multiplication**

You must know how to do long multiplication before doing this topic.

To review Long Multiplication, see here.

Steps for decimal multiplication:

- Ignore the decimal points for now, and multiply as whole numbers.
- Add the number of digits to the right of the decimal point for each decimal.
- Place the decimal point in the answer.

**Example 1:**

Multiply:3.2 × 0.4

Ignore the decimal points and multiply.32Figure out where to place the decimal point.× 041283.2 ← 1 digit to the right of the decimal pointPlace the decimal point in the answer.× 0.4← 1 digit to the right of the decimal point3.23.2 × 0.4 = 1.28× 0.41.28 ← 2 (1 + 1) digits to the right of the decimal point

**Example 2:** Adding zeros to place the decimal point

Multiply:0.08 × 0.1

Ignore the decimal points and multiply.8Figure out where to place the decimal point.× 180.08 ← 2 digits to the right of the decimal pointPlace the decimal point in the answer.× 0.1← 1 digit to the right of the decimal point0.080.08 × 0.1 = 0.008× 0.10.008 ← 3 (2 + 1) digits to the right of the decimal point Add zeros when there are no more digits to the right.

**Example 3:** Remember the zeros!

Multiply:0.35 × 1.6

Ignore the decimal points and multiply.35Figure out where to place the decimal point.× 16210355600.35 ← 2 digits to the right of the decimal pointPlace the decimal point in the answer.× 1.6← 1 digit to the right of the decimal point0.350.35 × 1.6 = 0.56× 1.60.560 ← 3 (2 + 1) digits to the right of the decimal point Remember to count the first zero when placing the decimal!

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