Thousands to Thousandths

Unit 2 Lesson 2

Reading Decimals• Say what you see before the decimal• Say “and” for the decimal• Say what you see after the decimal• Say the place value of the final digit

• To write in words, you write what you say

five hundred eighty

5 8 0 . 3 2 4

and

three hundred twenty-four thousandths

One and

forty-six hundredths

Partner A

sixty seven and

four hundred one thousandths

Partner B

C. three and forty

seven hundredths

B. Three and forty seven thousandths

A. three and forty seven

tenths

D. Three and forty

seven hundreds

C. seventeen thousand eighty two

B. seventeenand

eighty-two hundredths

A. seventeenand

eighty-two tenths

D. seventeen

andeighty-two

thousandths

1 . 7 2 0th h t o . t h th

How would you write this # in word form?

A zero at the end of a decimal number

does not change the number’s value

1 . 7 2 0th h t o . t h th

One and seventy-two hundredths

A zero at the end of a decimal number

does not change the number’s value

.th h t o . t h th

What place is the 4 in ? 26.548

2 6 . 5 4 8

th h t o . t h th

What place is the 4 in ? 26.548

hundredths

12

What number is in the thousandths place?

8.097

13

What number is in the thousandths place?

8.097

Write down the number that is not equivalent to the other values

2.6 2.06 2.600 2.60

4.07 4.070 4.704.0700

Getting the Idea!When a number is written as the sum of the products of each digit and its place value, it is written in expanded form.

Standard form: 36.82Word form: thirty-six and eighty-two hundredthsExpanded form: 30 + 6 + 0.8 + .02

You can use a place-value chart to write numbers in expanded form.

Question: What is 71.85 written in expanded form?Strategy: Use a place-value chart.

Step 1:Place each digit in the place-value chart.

Tens Ones . Tenths Hundredths

7 1 . 8 5Step 2: Write the value of the digit in the

greatest place.7 tens equals 70

Step 3: Place an addition sign to the right of the number. Then write the value of the digit in the next greatest place.

70 + 170 tens plus 1 ones equals 71

Step 4: Continue for the remaining numbers.70 + 1 + 0.8 + 0.05

70 tens + 1 ones + 8 tenths + 5 hundredths = 71.85

Solution: The number 71.85 written in expanded form is: 70 + 1 + 0.8 + 0.05 or 70 + 1 + 8/10 + 5/100

Tens Ones . Tenths Hundredths

7 1 . 8 5

Question: What is 680.901 written in expanded form?

Step 1: Place each digit in the place-value chart.

Hundreds Tens Ones . Tenths Hundredths Thousandths

6 8 0 . 9 0 1

Step 2: Write the value of the digit in the greatest place. Write an addition sign, and then write the value of the digit in the next greatest place.

600 + 80 + 0.9 + 0.001

Question: What is the expanded form of 42.07?

Thinking It Through: What is the value of each digit?

There are ________ tens = ________.

There are ________ ones = ________.

There are ________ tenths = ________.

There are ________ hundredths = ________.

Solution: The expanded form of 42.07 is: _____________________