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Decimals and Place Values
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Decimals and Place Values

lesson introduction

Decimals and Place Values

Decimals are another way to represent numbers which are not whole. They also have place values.

1

This is a number line

In-between the whole numbers (the integers), there are numbers slotted in that are not whole.

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2

These numbers that are not whole numbers are called _________ numbers.

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3

So what do you think you call the "dot" in decimal numbers?

A) Number point B) Decimal point

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4

So decimal numbers are numbers in-between whole numbers

This lesson focuses on how much the ciphers after the decimal point are actually worth.

For example, how much is the 77 worth in 0.4780.478?

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1

First of all, though!

Have a look at the place values of the numbers before the decimal point.

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2

What is the place value of the 44 in this example?

A) 1,0001,000 B) 100100 C) 1010

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3

How much is the 44 "worth" then?

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4

What is the place value of the 77?

A) 11 B) 1010 C) 100100

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5

True or false? Every time you move one place value to the left, the place value gets 100×100\times larger.

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6

Every time you move one place value to the left, the value gets 10×10 \times larger

Tens are 10×10\times larger than units. Hundreds are 10×10\times larger than tens. Thousands are 10×10\times larger than hundreds.

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1

Now, how about the place value of the decimals?

Decimals are the numbers after the decimal point.

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2

True or false? The 55 in this number has place value 1,0001,000 just like the 44?

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3

The 55 has place value 11,000\frac{1}{1,000} or "one thousandth"

The 44 on the left-hand-side of the decimal point has place value thousand, so it is worth 4,0004,000

The 55 on the right-hand-side of the decimal point has place value thousandth, so it is only worth 0.0050.005

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4

Is the place value for the 11 bigger or smaller than the place value for the 55?

A) Bigger B) Smaller

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5

What place value does the 11 have?

A) 110\frac{1}{10} B) 1100\frac{1}{100}

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6

What is the place value for the 22?

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7

Every time you move one place value to the right, the place value gets 10×10\times ___________.

A) larger B) smaller

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8

So the place values are smaller than 11 on the right-hand-side of the decimal point

1 tenth is the same as 110\frac{1}{10} 1 hundredth is the same as 1100\frac{1}{100} 1 thousandth is the same as 11,000\frac{1}{1,000}

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How many tenths are there in this decimal number?

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2

How many hundredths are there in this decimal number?

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3

How many thousandths are there in this decimal number?

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4

So 0.4720.472 has...

4 tenths. 47 hundredths. 472 thousandths.

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How many hundredths are there in the decimal number 0.0250.025?

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How many tenths are in the decimal number 0.3790.379?

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How do you write 34 hundredths as a decimal number?

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How do you write 583 thousandths as a decimal number?

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Now! How do you write 23 thousandths as a decimal number?

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Which one is the biggest decimal number?

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Which one is the biggest decimal number?

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1

Summary! Decimal numbers are numbers in-between whole numbers

Decimals are the numbers that follow the decimal point.

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2

Decimals have place values

The first decimal has place value 110\frac{1}{10} (1 tenth). The second decimal has place value 1100\frac{1}{100} (1 hundredth). The third decimal has place value 11,000\frac{1}{1,000} (1 thousandth).

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3

Place values change by 10×10\times when you move left or right

They get 10×10 \times bigger every time you move one place left. They get 10×10 \times smaller every time you move one place right.

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