Math Topic 1 Overview Expanded Form Decimals

Math Topic 1 Overview
Vocabulary
Topic 1 Place Value
Lessons:
Digits
1-1
1-2
1-3
1-4
1-5
Place Value
Tenths and Hundredths
Thousandths
Decimal Place Value
Comparing and Ordering Decimals
Value
1-6
Decimal Patterns
Standard Form
Expanded Form
Word/Written Form
Equivalent Decimals
Things to Know
The following chart shows the value of each place in a decimal number (written as a simple number, as an exponent, and in
English):
100,000 =
105
hundred
thousands
6
10,000 =
1,000 = 100 = 102 10 = 1 = decimal
4
10
103
hundreds 101 100
point
ten
thousands
tens ones
thousands
5
4
3
2
1
.
1/10 = 1/100 = 10-2 1/1,000 = 103
10-1 hundredths
tenths
thousandths
1
2
Expanded Form Decimals:
1 + 0.7 + 0.05 + 0.003 = 1.753
3
1/10,000 =
104
ten
thousandths
4
Tips and Hints:
1. Decimal place value names have a “ths” ending: tenths, hundredths,
thousandths.
2. When deciding which decimal is larger, think of the decimal as
money. Would you rather have $1.25 or $1.27?
3. When working with the decimal pattern puzzles in lesson 1-6, fill in
the empty spaces as well as the empty boxes. This will help you
establish a pattern.
.05
.06
.15
.16
.25
.26
.26
.36
.45
.46
4. When writing a decimal equivalent to a fraction, listen to how you
say the decimal out loud. When you say, “.05 as Five Hundredths,”
you hear the fraction 5/100. Write it as 5 over 100.