Decimals to the Thousandths Place

• A decimal is a number that uses a decimal point as 9.58
• A decimal has one or more digits to the right of a decimal point.

Use the grids below to understand the value of each place, especially the thousandths.

Notes:

• Each tenth can be divided into 10 hundredths and each hundredth into 10 thousandths.
• Zeros after the last non-zero decimal digit do not change the value.

Example: In 3,249.578

Use the large place-value chart to help you read and write decimals clearly.

Standard Form: 3,249.578

Word Form: Three thousand, two hundred forty-nine and five hundred seventy-eight thousandths.

Unit Form: 3 Thousands, 2 Hundreds, 4 Tens, 9 Ones, 5 Tenths, 7 Hundredths, 8 Thousandths.

Example 1

Write these numbers in a place-value chart:

1. Two hundred forty-three and fifty-seven thousandths.
2. Sixty-seven thousand, three hundred four and eight hundredths.
3. Four billion, five hundred thousand and six thousandths.

Solution

Example 2

Write these numbers in word form:

Solution

1. Three hundred five and three hundred fifty-eight thousandths.
2. Eighty-four and five thousandths.
3. Three thousand twenty-four and eight tenths.
4. Twelve million, two thousand three hundred forty and fourteen hundredths.
5. One billion, twenty and eighty-six thousandths.
6. Seven hundred million, two hundred thousand, one hundred and four tenths.

Example 3

In 6,354.792:

Solution

Example 4

Record the decimal shown in each model:

Solution

Remark

You can write the same number in different forms. Adding zeros after the last decimal digit does not change the value.

Check your understanding

Complete the following:

1. a. In 942.358, 8 is in the ______ place. Its value is ______
2. b. In 791.06, 0 is in the ______ place. Its value is ______
3. c. In 302.91, 1 is in the ______ place. Its value is ______