Place Value

Lesson #1

The name or symbol used to represent a number (#) is called a

Why do we need numbers???

NUMERAL

Place Value:

Each digit has a certain place valueHandout: Place Value Chart

ones

Reading a Decimal #

8.59

1122.0025

Face Value

Tells you how many ones, tens, or hundredths there are.

4 856.01

What is the face value of the thousands place value?

Standard Form

The full number The way you “normally” write a

number

Expanded Form Writing a number showing the total value

of each digit Example: 543

Placing the # into the Place Value Chart:

From the chart we see100 x 5 = 500 10 x 4 = 40 1 x 3 = 3

Hundreds(100s)

Tens(10s)

Ones(1s)

500 40 3

So 543 = 500 + 40 + 3

Expanded Form: Practice

Complete the expanded form of the following numbers:

1) 384 = _______ + 80 + _______

2) 6257 = 6000 + ________ + ______ + ______

3) 37 = 10x3 + ________

4) 4826 = ________ + 100x8 + _______ + _____

5) 219.2 = ______ + _______ + ______ + ______

What is the standard form of these expanded form numbers:

1) 800 + 40 + 3 =

2) 20 000 + 600 + 40 + 9 =

3) 1000x4 + 100x5 + 1x3 =

4) 100x9 + 1x8 + 1/10x5 =