**1. Front End Strategy:**

We want to break up our number into smaller more manageable parts by creating "nice to work with" numbers. We use the "front" of the number to help us caluculate quickly in our heads

**1A. Front-End Multiplication Strategy**

This is usually used when one factor is a single digit and there is no regrouping.

For example, 3 x 2313 = 6000 + 900 + 30 + 9 = 6939

**1 B. Break Dividend Into Parts Strategy**

For many simple computations, divide the dividend into parts and divide.

For example, 1515 / 5 = (1500 / 5) + (15 / 5) = 300 + 3 = 303.

**2. Compensation Strategy:**

The compnesation strategy is a "cashier" method.

**2 A. Compensation Strategy for Multiplication**

*As with addition and subtraction, work with “friendly” numbers.*

*For example, 5 x 29 becomes 5 x 30 (turning 29 into 30 because it is easier to work with 30)*

*multiply 5x30 = 150*

*then SUBTRACT 5 (because we had to add 1 when we rounded 29 to 30. 1 x 5=5)*

*Our Answer: 145*

**2B. Doubling Strategy: Never Divide by 5 Again!**

For example 520 / 5 is the same as 1040 / 10.

The Answer: 104

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