Expanded Form for Decimals

The video tutorial explains how to expand numbers by showing the value of each digit based on its place. It covers expanding whole numbers and decimal numbers, detailing how to write them in expanded form. The tutorial also demonstrates converting numbers from expanded form back to standard form, focusing on both whole and decimal parts. The lesson concludes with a summary of converting between base 10 numerals and expanded form for decimal numbers up to the thousandths place.

What is the purpose of expanding a number?

• To make the number larger

• To determine the value of each digit based on its place

• To simplify the number

• To convert the number into a fraction

In the number 75, what is the value of the digit 7?

• 7

• 70

• 0.7

• 700

How do you write the number 75 in expanded form?

• 7 + 5

• 70 + 5

• 7/10 + 5/10

• 75

What is the value of the digit 3 in the decimal 0.3?

• 3

• 3/10

• 30

• 0.03

In the number 0.004, what is the value of the digit 4?

• 0.4

• 4/1000

• 4/100

• 4/10

How do you convert the expanded form 30 + 1 + 8/1000 into a standard number?

• 31.8

• 31.08

• 31.0008

• 31.008

If a number is written as 40 + 2 + 5/100, what is its standard form?

• 42.05

• 42.5

• 42.005

• 40.25