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**The Five Important Principles**

Decimals The Five Important Principles

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Principle One Decimals extend the place value system to represent parts of the whole. Write four ones and two tenths as a decimal. 4.2 Write six ones, four tenths and two hundredths as a decimal. 6.42 Why do we need a decimal before the 10ths place? Otherwise 2.0 would look like 20.

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Principle Two The base ten place value system is built on symmetry around the ones place. Draw an example of a line of symmetry on your white board. ths 100ths line of symmetry

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Principle Three Decimals represent parts of a whole, whole numbers and mixed numbers. Write 0.32 as a fraction. 32/100 Write 3.2 as a mixed number 3 2/10 Write 3.2 as an improper fraction. 32/10 Write 3.0 as an improper fraction and whole number 30/10 or 3

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Principle Four Decimals can be interpreted and read in more than one way. On your white board, find different ways to show the decimal 3.2

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**Principle Five Decimals can be renamed as other decimals or fractions.**

Using your white board or chart paper, shade 20 squares out of a hundred square grid. Describe as: Three fractions 20/100 = 2/10=1/5 Two decimals 0.20 and 0.2

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**0.2 and 0.20 Are these decimals equivalent?**

Yes, because 20/100 and 2/10 are equivalent Yes, because 0.2 equals 2 tenths and 0.20 equals 2 tenths and zero hundredths. In measurement we must be more precise though and use more decimal places. There is a lot of difference between 3.20 metres and 3.2 metres when you are building a bridge! The more decimal places, the more precise the measurement.

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**Equivalent Fractions and Decimals**

Find the decimal equivalent: 0.5 or 0.50 0.25 1/8 0.125 How did we do this? Find the decimal equivalent of 1/3 by dividing the denominator into the numerator. This is a repeating decimal. Why does it repeat? We show this by placing a line over it.

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