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Place Value with Decimals
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Place Value with Decimals

Place Value with Decimals

Chapter 1.2

Slide 2

How do I know what kind of decimal it is?

How do I know what kind of decimal it is?

The name of a decimal is determined by the number of places to the right of the decimal point

Slide 3

What are mixed decimals?

What are mixed decimals?

Mixed decimals are numbers with both whole numbers and decimals

The name of a whole number is determined by the number of places to the left of the decimal point

In the number 128.765, 1 is in the hundreds place, 2 is in the tens place, 8 is in the ones place, 7 is in the tenths place, 6 is in the hundredths place, and 5 is in the thousandths place

Slide 4

How do you read decimals?

How do you read decimals?

To read a decimal correctly, first find the decimal point

Whole numbers are to the left of the decimal point; any numbers to the right of a decimal point form a decimal fraction

Say and for the decimal point

The decimal 2164.511 is read as two thousand, one hundred sixty-four and five hundred eleven thousandths

Slide 5

Zeros after the decimal point

Zeros after the decimal point

Writing extra zeros after the decimal point does not change the value!

The decimals 0.2, 0.20, and 0.200 are equivalent decimals

Slide 6

Practice

Practice

Here are some practice problems in which I will work through with you to make sure that you understand the main concepts covered.

Slide 7

Exercise 1

Exercise 1

Write the decimals.

Five thousandths

Ninety-four thousandths

Three hundred thirty-six and sixty-nine hundredths

Slide 8

Exercise 2

Exercise 2

Write each decimal in words.

7884.011

5592.4

4.203

612.250

10.44

Slide 9

Exercise 3

Exercise 3

In what place (on the place value chart) is the underlined digit? Write the answer.

1.475

3.763

7780.215

412.407

902.103

Slide 10

Exercise 4

Exercise 4

Write a decimal that has the same number.

0.2

5.51

410.6

753.809

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