Expanded Notation Lesson

​Fractions, decimals and place value!

By ALEXIS BALBONI

​One Whole

​One Tenth

​One Hundredth

Multiple Choice

What decimal number does this picture represent?

• .5

• .05

• 5.00

• 5/10

Multiple Choice

What decimal number does this represent?

• 4.4

• 4.04

• 0.044

• 0.44

Multiple Choice

What decimal value does this picture represent?

• 2.74

• 27.4

• 0.74

• 0.27

If we want to compare decimals, then we have to start at the largest place value spot, which is usually the ones place.​

​Next, you look at the next largest place value spot - the tenths!!

​Last, you look at the smallest place value spot, which is the hundredths.

Multiple Choice

Which place value spot is greater, the tenths or the hundredths?

• The Tenths

• The Hundredths

Multiple Choice

Which inequality sign belongs in the blank?

• =

• >

• <

​Now that we have compared decimals...let's look at how to write decimals in expanded notation!

​7.84 =

​

3.03=

​

0.32=

​

9.99​=

Multiple Choice

What is 8.23 in expanded notation?

• (8x100) + (2x10) + (3x1)

• 8 + 0.20 + 0.03

• (8x1) + (2x0.1) + (3x0.01)

• (8x8) + (2x0.2) + (3x0.03)

Open Ended

Type 2.34 in expanded notation

Multiple Choice

Which of these shows a number in STANDARD FORM?

• 893,124

• 800,000 + 90,000 + 3,000 + 100 + 20 + 4

• (8x100,000) + (9x10,000) + (3x1,000) + (1x100) + (2x10) + (4x1)

• Eight hundred ninety-three thousand, one hundred twenty-four

Multiple Choice

Which of these shows a number in WORD FORM?

• 893,124

• 800,000 + 90,000 + 3,000 + 100 + 20 + 4

• (8x100,000) + (9x10,000) + (3x1,000) + (1x100) + (2x10) + (4x1)

• Eight hundred ninety-three thousand, one hundred twenty-four

Multiple Choice

Which of these shows a number in EXPANDED FORM?

• 893,124

• 800,000 + 90,000 + 3,000 + 100 + 20 + 4

• (8x100,000) + (9x10,000) + (3x1,000) + (1x100) + (2x10) + (4x1)

• Eight hundred ninety-three thousand, one hundred twenty-four

Multiple Choice

Which of these shows a number in EXPANDED NOTATION?

• 893,124

• 800,000 + 90,000 + 3,000 + 100 + 20 + 4

• (8x100,000) + (9x10,000) + (3x1,000) + (1x100) + (2x10) + (4x1)

• Eight hundred ninety-three thousand, one hundred twenty-four

Multiple Choice

Look at the number 71,523,768. What is the value of the digit 5? 

• Fifty thousand
• Five thousand
• five million
• five hundred thousand

Multiple Choice

The number below is written in expanded notation.

(1 x 1,000) + (5 x 100) + (9 x 1) + (7 x 0.1) + (4 x 0.01)

How is this number written in standard form?

• 15,974

• 1,590.74

• 1,509.74

• 1,597.4

Multiple Choice

Annie Leung holds the world record for the most points while playing Guitar Hero 3. She scored 789,349 points. How is this number written in word form?

• seven eighty-nine thousand, three hundred forty-nine

• seven hundred eighty-nine thousand, three hundred forty-nine

• seven hundred eighty-nine, three hundred forty-nine

• seven hundred eighty thousand, nine hundred, three hundred forty-nine