345= 300+40+5

OR

345= 300

40

+ 5

Expanded Form with Decimals!

Remember!:

You always bring the decimal point down

Zeroes between the decimal and a whole number cannot be erased. We call them placeholders.Think of 502 and 52. Are they the same? Can we get rid of the 0 in 502? Why not?

If a place has a zero, we do not include it in expanded form. 502- we have 5 hundreds, zero tens, and two ones.

Let's Try Something Harder: More expanded form!

Important Vocabulary

value

: is the numerical quantity, or how much a number represents (ex: the 2 in 24 is worth 2 tens or 20)

standard form

: writing numbers using digits (i.e 10, 45, 242, 56,912)

word form

: writing a number out in words (i.e. 10= ten, 45-forty-five, 242= two hundred forty two, 56,912= fifty-six thousand, nine hundred twelve)

expanded form

: breaking down each place value into what it represents (ie: 10=10, 45=40+5, 242=200+40+2, 56,912=50,000+6,000+900+10+2)

Let's start small:

What do decimals look like in standard and word form?

Let's try with:

0.245

Objective:

I will be able to read and write decimals to the thousandths in standard, word, and expanded form.

**Place Value: Decimals to the Thousandths**

Key Points

1) You always bring the decimal point down

2) Zeroes between the decimal and a whole number cannot be erased. We call them placeholders.Think of 502 and 52. Are they the same? Can we get rid of the 0 in 502? Why not?

3) If a place has a zero, we do not include it in expanded form. 502- we have 5 hundreds, zero tens, and two ones.

Place Value Chart

This is the

standard form!

1) My place values to the right of the decimal will always end in “th” (Ex. tenth, hundredths, thousandths)

2) Next I want to cover up the decimal so that it doesn’t confuse me. If I cover it up I see 245 and if I say that out loud it’s “two-hundred forty-five”, so I write that down

3) Now I uncover my decimal and I look at my place value chart to determine what the farthest place value to the right is. I look at my place value chart and realize it’s the thousandths so I write that next.

4) So my answer is forty-five thousandths

Word Form:

0.245=

0.2

0.04

0.005

My expanded form is: 0.2 + 0.04 + 0.005

2.462

2

.4

.06

.002

Expanded Form=

2 + 0.4 + 0.06 +0.002

If I give you “four and sixty-eight hundredths” How would I write this in standard form?

Let’s try nine hundred forty-two thousandths.

How would I write 0.464 in word form?

How would I write ninety six thousandths in expanded form?

How would I write four thousandths in expanded form?