PLACE VALUE WITH DECIMALS

Chapter 1.2

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

Number of Places Decimal Name Example

1 tenths 0.7

2 hundredths 0.05

3 thousandths 0.016

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

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”

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

HERE ARE SOME PRACTICE PROBLEMS IN WHICH I WILL WORK THROUGH WITH YOU TO MAKE

SURE THAT YOU UNDERSTAND THE MAIN CONCEPTS COVERED.

Practice

Exercise 1

Write the decimals.

1.Five thousandths

2.Ninety-four thousandths

3.Three hundred thirty-six and sixty-nine hundredths

Exercise 2

Write each decimal in words.

1.7884.011

2.5592.4

3.4.203

4.612.250

5.10.44

Exercise 3

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

1.1.475

2.3.763

3.7780.215

4.412.407

5.902.103

Exercise 4

Write a decimal that has the same number.

1.0.2

2.5.51

3.410.6

4.753.809

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