Decimal Expansion

Decimals:

Expanded Form

REVIEW:

Value of Digits

Multiple Choice

5,678

What is the value of the 6?

• 6

• 60

• 600

• 6000

Multiple Choice

56.74

What is the value of the 7?

• 7

• 0.7

• 0.07

Multiple Choice

What is the value of the 8?

68.92

• 8

• 0.8

• 0.08

Multiple Choice

What is the value of the 5?

3.245

• 5

• 0.5

• 0.05

• 0.005

Multiple Choice

What is the missing number?

6.53 = 6 + ? + 0.03

• 0.6

• 0.5

• 0.3

Multiple Choice

2.34 =

• 0.2 + 0.3 + 0.4

• 2 + 0.3 + 0.04

Multiple Choice

50 + 0.09 =

• 50.09

• 5.09

• 50.9

Multiple Choice

40 + 3 + 0.5 + 0.09 =

• 403.59

• 43.59

• 4359

You can also use parentheses ( )

• Represent each digit with a set of parentheses

• Place an addition sign between each set of parentheses

• Multiply the digit by its place within the parentheses

Example: Represent each digit

• 3.4 = (3 x 1) + (4 x 0.1)

• 90.35 = (9 x 10) + (3 x 0.1) + (5 x 0.01)

• 0.567 = (5 x 0.1) + (6 x 0.01) + (7 x 0.001)

• 5000.04 = (5 x 1000) + (4 x 0.01)

Multiple Choice

What mistake did I make?

8.09 = (8 x 10) + (9 x 0.01)

• The 8 is not in the tens place, it is in the ones place.

• The 8 is not in the tens place, it is in the tenths place.

Multiple Choice

What mistake did I make?

7.45 = (7 x 1) + (5 x 0.01)

• The 5 is not in the hundredths place, it is in the tenths place.

• You did not include the digit 4.

Multiple Choice

What mistake did I make?

7.9 = (7 x 1) x (9 x 0.1)

• The 9 is not in the tenths place, it is in the hundredths place.

• You did not add the values of each digit.

Multiple Choice

What mistake did I make?

3.4 = (3 + 1) + (4 + 0.1)

• You should have multiplied the 3 by 1 and 4 by 0.1.

• You should have a multiplication sign between the parentheses.

Multiple Choice

What is missing?

3.94 = (3 x 1) + (9 x 0.1)

• Nothing is missing.

• (4 x 0.1)

• (4 x 0.01)

Multiple Choice

What is missing?

7.024 = (2 x 0.01) + (4 x 0.001)

• Nothing is missing.

• (7 x 1)

• (7 x 10)

• (7 x 0.1)

Multiple Choice

What is missing?

23.07 = (2 x 10) + (7 x 0.01)

• Nothing is missing.

• (3 x 1)

• (3 x 10)

GoMath Workbook

Lesson 3.2 (159, 161)