__Objective__

At the end of this lesson, students should be able to multiply decimal numbers by 10, 100 or 1000.

Decimals can easily be multiplied by 10, 100 and 1000.

**Anytime a decimal is multiplied by 10, each digit of the decimal moves 1 place to the left.**

__Example 1__

a)m1.24 x 10 b. 13.5 x 10 c. 15.0 x 10

__Solution__

a) Move the digits the required number of times and fill the empty places with zero(s)

**NB: Every decimal ending with point zero (.0) is a whole number.**

**When a decimal number is multiplied by 100, each of the decimal moves 2 places to the left**

__Example 2__

a.4.86 x 100 b. 15.5 x 100

__Solution__

Move each digit 2 places to the left and fill empty spaces with zeros.

**When a decimal is multiplied by 1000, each digit of the decimal moves 3 places to the left.**

__Example 3__

a) 4.273 x 1000 b. 0.6 x 1000

__Solution__

Move each digit 3 places to the left and fill the empty spaces with zeros.

4.273 x 100 = 4273

**(Note that we do not write ‘0’ in the thousandth place in the answer because we can’t start a number with a zero)**

Lesson Content

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