Math 5Read, write decimals to

the thousandths

Instructor: Mrs. Tew Turner

In this lesson you will learn about place value with

decimals and the patterns that we find in the base 10

system.

1 Minute Math Warm-up!

a) 17 + 12= b) 21 + 37=c) 36 + 23=d) 54 + 45=e) 13 + 9 =f) 29 + 11=g) 64 + 18=h) 73 + 37= http://timer.onlineclock.net/

Math Warm-up

a) 17 + 12= 39b) 21 + 37= 58c) 36 + 23= 59d) 54 + 45= 99e) 13 + 9 = 22f) 29 + 11= 40g) 64 + 18= 82h) 73 + 37= 110

Decimal place value is very similar to whole number place value.

Every number has a place to hold.

However, decimals are numbers LESS than ONE

WHOLE number otherwise known as a FRACTION.

All numbers that are decimals end with a “ths”

to represent a number that is less than one or a

fraction.

1 Whole

Tenths

Hundredths

Thousandths

“AND”: How you SAY the DECIMAL POINT.

Decimal numbers always represent LESS THAN ONE!

Let’s Practice reading decimal numbers!

1)1.982You say, “One AND Nine hundred eighty two thousandths.”

Let’s Practice reading decimal numbers!

2) 456.367You say, “Four hundred fifty six AND three hundred sixty seven thousandths.”

Let’s Practice reading decimal numbers!

3) 4,687.97You say, “Four thousand, six hundred eighty seven and ninety seven hundredths.”

Now lets work on recognizing and saying these numbers. Why are they less than one?

0.3 = Three Tenths = this means you have 3 out of 10 items = 3/100.04 = Four Hundredths = this means you have 4 out of 100 items = 4/100

DrawThe symbolfor ONES,Tenths,Hundredths, &Thousandths.

Make a chart like this in your notebook

Let’s look at an example:

Thousands

Hundreds

Ones Decimal

Tenths Hundredths

Thousandths

9 4 2 . 7 3 9

Let’s read this number together.

Now let’s PracticeWe will look at the number, say the number, then say the fraction.

0.45

Forty-five HUNDREDTHS

45/100

0.07

Seven HUNDREDTHS

7/100

0.9

Nine TENTHS

9/10

0.306

Three Hundred-six THOUSANDTHS

306/1000

0.791Seven Hundred Ninety-one THOUSANDTHS

791/1000

0.041

Forty-one THOUSANDTHS

41/1000

0.009

Nine THOUSANDTHS

9/1000

Quick CheckWrite each number in standard

Form:

1) 60 + 0.6 + 0.03 + 0.007 + 8

Hundreds

Tens Ones Decimal

Tenths Hundredths

Thousandths

.

Quick CheckWrite each number in standard

Form:

1) 60 + 0.6 + 0.03 + 0.007 + 8

Hundreds

Tens Ones Decimal

Tenths Hundredths

Thousandths

6 8 . 6 3 7

Quick CheckWrite each number in standard

Form:

2) Four and sixty-eight hundredths

Thousands

Hundreds

Ones Decimal

Tenths Hundredths

Thousandths

.

Quick CheckWrite each number in standard

Form:

2) Four and sixty-eight hundredths

Hundreds

Tens Ones Decimal

Tenths Hundredths

Thousandths

4 . 6 8

Quick CheckGive the VALUE of the underlined

digit:

3) 4.737 Hundreds

Tens Ones Decimal

Tenths Hundredths

Thousandths

.

Quick CheckGive the VALUE of the underlined

digit:

3) 4.737 Hundreds

Tens Ones Decimal

Tenths Hundredths

Thousandths

4 . 7 3 7

In your Math NotebookExplain how the number 3.453 has two 3’s. Why does each 3

have a different value? Hundreds

Tens Ones

Decimal

Tenths

Hundredths

Thousandths

.

In your Math NotebookExplain how the number 3.453 has two 3’s. Why does each 3

have a different value? Hundreds

Tens Ones

Decimal

Tenths

Hundredths

Thousandths

3 . 4 5 3

Explain how the number 3.453 has two 3’s. Why does each 3 have a different value?

The first 3 on the far left is a WHOLE number.

The 3 on the far right represents the THOUSANDTHS place or a fraction:

3/1000:

In your Math Notebook-guide

Continued explanation:

The models show the value of the digit 3 in each of the different places it appears in the number 3.453. Thousandths SOUND LARGE but they are only slivers of a whole number. They are VERY SMALL!

In your Math Notebook-guide

http://tinyurl.com/33xep6y

Scooter Quest

Today you learned how to read and write decimals to the thousandths

Good Work with this

lesson.