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Math Foundations

Day 1: What Numbers Really Mean

Slide 2

Today's Objectives

Slide 3

Warm-Up Question

Look at the number below:

5,282

Do the two '2's in this number mean the same thing? Why or why not?

Slide 4

The Big Idea: Position is Power!

In math, a digit's position (where it is) is what gives it its value (what it's worth).

The '2' in the hundreds place is worth 200.

The '2' in the ones place is worth 2.

Slide 5

The Place Value Chart

Let's break down the number 3,452

Thousands
Hundreds
Tens
Ones
3
4
5
2
(3,000)
(400)
(50)
(2)
Slide 6

Writing Numbers in 3 Forms

1. Standard Form:

3,452

2. Expanded Form (Stretched Out):

3000 + 400 + 50 + 2

3. Word Form:

Three thousand, four hundred fifty-two

Slide 7

Let's Practice Together

How would we write 6,071 in expanded and word form?

Expanded Form:

The '6' is worth 6000. The '7' is worth 70. The '1' is worth 1.

6000 + 70 + 1

Word Form:

Six thousand, seventy-one

Slide 8

Independent Practice

RED

What is the value of the underlined digit?

  1. 1,823
  2. 9,045
  3. 5,210

YELLOW

Write 7,394 in:

  1. Expanded Form
  2. Word Form

GREEN

Write the standard form for:

  1. 5000 + 20 + 9
  2. Four thousand, six hundred twelve
Slide 9

Exit Ticket

On a piece of paper, write the number 9,205 in:

  1. Expanded Form
  2. Word Form