Write 0.324 in expanded notation.

In this lesson you will learn to write decimals in expanded

notation by dividing each digit by a unit fraction.

Let’s ReviewLet’s Review

320 210

2 x 100 = 200

2 x 10 = 20

Let’s ReviewCore Lesson

Decimal Place Values

tenthshundredths

thousandths

ones

1 1 11

10 100 1000

Let’s ReviewCore Lesson

Decimal Place Values

tenthshundredths

thousandths

ones

1 1 11

10 100 1000

0 814

Let’s ReviewCore Lesson

(4 x ) 1

10( 1 x )

1

100(8 x )

1

1000+ +

tenthshundredths

thousandths

ones

0 814

0.418 =

Let’s ReviewCore Lesson

(0.400) (0.010) (0.008) + +0.418 =

Let’s ReviewCore Lesson

(3 x ) 1

10( 2 x ) 1

100(4 x )

1

1000+ +

0 423

0.324 =

tenthshundredths

thousandths

ones

Let’s ReviewCore Lesson

(0.300) (0.020) (0.004) + +0.324 =

In this lesson you have learned to write decimals in expanded notation by multiplying each

digit by a unit fraction.

Let’s ReviewGuided Practice

Write 0.763 in expanded notation.

tenthshundredths

thousandths

ones

0 367

(7 x ) 1

10( 6 x ) 1

100(3 x )

1

1000+ +0.763 =

Let’s ReviewGuided Practice

(0.700) (0.060) (0.003) + +0.763 =

Let’s ReviewExtension Activities

What’s My Number?

Step 1: Get a partner. Get 10 index cards and write the numbers 0 -9 on the cards. Place the cards face down.

Step 4: The person with the largest number wins. Start over by picking 3 new cards.

Step 2: Taking turns pick up three cards. Create the largest decimal number you can.

Step 3: Write the number in expanded notation.

Let’s ReviewExtension Activities

Building Numbers

Step 1: Get a partner, a decimal mat, and a spinner with numbers 0 -9 on it.

Step 4: Record which of these numbers is greatest and which is least.

Step 2: Taking turns spin the spinner three times and record each spin.

Step 3: Record a three-digit decimal number,then rearrange the digits to see how many three digit numbers you can make.

Let’s ReviewQuick Quiz

Write 0.546 in expanded notation.

Write 0.897 in expanded notation.