Converting Fractions to Decimals Todays Math GOAL Read

Converting Fractions to Decimals Today’s Math GOAL: • Read decimals • Write decimals • Shade grids to show decimal place value for tenths and hundredths • Compare fractions to decimals

Today, the fractions we will be looking at are called decimal fractions. Decimal Fractions have denominators that are multiples of 10. These are decimal fractions:

• We are also going to learn how to read, recognize, and write decimal numbers to the hundredths. • Writing decimals is a different way of writing fractions. • Just like fractions, decimals also represent a part that is less than a whole.

So What is a Decimal? • A decimal is a part of a whole… • It is another way to write a fraction! 3

Decimal and 3. 2 three and two tenths

2 25 100 Decimal and 2. 2 5 two and twenty-five hundredths

When writing decimal numbers, you need to place numbers to the right of a decimal point. . 56

When writing decimal numbers, you need to place numbers to the right of a decimal point. . 56 0. 10

When writing decimal numbers, you need to place numbers to the right of a decimal point. . 7 . 56 0. 10

When writing decimal numbers, you need to place numbers to the right of a decimal point. . 7 . 56 0. 10 23. 21

When writing decimal numbers, you need to place numbers to the right of a decimal point. . 7 . 56 0. 10 0. 08 23. 21

When writing decimal numbers, you need to place numbers to the right of a decimal point. . 7 . 56 0. 10 3. 04 0. 08 23. 21

ths red nd ths Ten d an es On s Ten Hu Hu nd red s 123. 56 This is a place value chart that represents the decimal places: tenths and hundredths.

ths red nd Hu ths d es On s Ten an Ten Hu nd red s 123. 56 This underlined number is in the tenths place and represents 5 tenths.

5 tenths is the same as: 0. 5

nd red ths Ten d an es On s Ten Hu Hu nd red s 123. 56 This underlined number is in the hundredths place and represents 6 hundredths.

6 hundredths is the same as: 0. 06

Let’s say the decimal name of each of the following models.

0. 8

0. 54

0. 2

0. 37

0. 7

0. 91

Let’s Practice!

Which of the following is equal to ? . 05 or . 5

Which of the following is equal to ? . 05 or . 5

Which of the following is equal to ? . 1 or . 01

Which of the following is equal to ? . 1 or . 01

Which of the following is equal to ? . 09 or . 9

Which of the following is equal to ? . 09 or . 9

Which of the following is equal to ? 6. 4 or . 64

Which of the following is equal to ? 6. 4 or . 64

Now let’s practice! 0. 4 four tenths

0. 55 fifty-five hundredths

0. 6 six tenths

0. 86 eighty-six hundredths

0. 58 fifty-eight hundredths

0. 10 ten hundredths 0. 01 one hundredth 0. 01 0. 10 0. 1 Which two decimals are equivalent? 0. 1 one tenth

0. 80 eighty hundredths

0. 25 twenty-five hundredths

1. 15 One and fifteen hundredths

4. 25 Four and twenty-five hundredths

LET’S PRACTICE READING DECIMALS…. How do you say the following decimal? 0. 2

How do you say the following decimal? 0. 2 Two Tenths

How do you say the following decimal? 0. 7

How do you say the following decimal? 0. 7 Seven Tenths

How do you say the following decimal? 0. 08

How do you say the following decimal? 0. 08 Eight Hundredths

How do you say the following decimal? 0. 75

How do you say the following decimal? 0. 75 Seventy-Five Hundredths

Now let’s shade our own! Remember to think carefully about which grid you will use. tenths hundredths ___

0. 86 eighty-six hundredths

0. 25 twenty-five hundredths

0. 3 three tenths thirty hundredths

Let’s look at decimal equivalents

= 0. 4 is equivalent to 0. 40

= 0. 9 is equivalent to 0. 90

= 0. 1 is equivalent to 0. 10

= 0. 3 is equivalent to 0. 30