Math 5 Place Value in a Base 10 System Instructor: Mrs. Tew Turner

In this lesson we will learn about place value for the base 10 system.

Math Warm-up Complete the Table. Use mental math. CostChange from $10 $4.99 $6.75 $7.95 $9.10 $5.01 $3.25 $2.05 $0.90

Vocabulary digit – a symbol used to make numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) numerals – a symbol or name that stands for a number (3, 196, and twelve are all numerals)

Vocabulary place – the position of a digit in a number Ex. 486 The numeral 4 is in the hundreds place.

Vocabulary value – product of a digit multiplied by its place (what it is worth) Ex. 486 The numeral 4 represents 4 hundreds. Its value is four hundred.

Vocabulary base 10 – a number system that is made from patterns of tens

How can you read and write large numbers? Let’s use this number as an example: 3, 638, 241

Say: “three million, six hundred thirty- eight thousand, two hundred forty- one” 3, 638, 241

Expanded: 3,000, , , , , 638, 241

Write: 3, 638, 241

Let’s practice doing that together for another number. 2,459,038 Say: “two million, four hundred fifty- nine thousand, thirty-eight. Expand: 2,000, ,000+50,000+9, Write: 2,459,038

Now it’s your turn. 1. 7,387,246 Say: Expand: 2. 3,250,997 Say: Expand: 3. 7,382,034 Say: Expand:

How did you do? 1. 7,387,246 Say: seven million, three hundred eighty- seven, two hundred forty-six Expand: 7,000, ,000+80,000+7,

How did you do? 2. 3,250,997 Say: three million, two hundred fifty thousand, nine hundred ninety-seven Expand: 3,000, , ,

How did you do? 3. 7,382,034 Say: seven million, three hundred eighty- two thousand, thirty-four Expand: 7,000, , ,

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones What is this chart called?

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones Place Value Chart

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones Notice the comma’s name?

this is a column Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones What do the columns represent?

this is a column Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones Each column represents a different number value.

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones Make a chart like this in your notebook:

Why would we use a place value chart? We would use a place value chart to help us understand numbers. For example, I may ask you, “What is the place of the digit 4 in 3,467?” You may use the place value chart to help you answer the question.

You would write the number in the place value chart starting with the number at the right. You would write that number in the ones column. Let’s do that together to figure out the answer.

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones 3,467 What is the place of the digit 4 in 3,467?

Here is another example I may ask you, “What is the value of the digit 9 in 9,638?” You may use the place value chart to help you answer the question. You would write the number in the place value chart starting with the number at the right. You would write that number in the ones column.

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones 9,638 We wrote the number in the chart and discovered that the digit 9 is in the thousands column, or the thousands place.

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones 9,638 We know the place of the digit, but what is its value ?

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones 9,638 We know there are nine in the thousands column, so 9,000 is the value.

I like to think of the value of a digit as what the digit is worth. For example, in the United States of America, the money is measured in dollars. So, if I have 5 ten dollar bills, the worth of the digit 5 is 50 because I would have $50.00(fifty dollars).

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones 2,453,972 Let’s find the value of the digit 5 in 2,453,972. First, write the number in the number chart.

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones 2,453,972 Next, look for the digit 5 on the chart and find the place column of that digit.

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones 2,453,972 Now, find the value of the digit. 5 ten thousands = 50,000 Think: (10,000+10,000+10,000+10,000+10,000)

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones Let’s find the value of the digit 2 in 275,968. What is the first step?

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones 275,968 Now what do we do?

Millions, Hundred Thousands Ten Thousands Thousands, Hundreds Tens Ones 275,968 What is the last step?

What place is digit 8 in 9,345,841? What value is digit 8 in that number? What place is digit 6 in 561,428? What is the value of digit 6 in that number? What place is digit 3 in 3,925,976? What is the value of digit 3 in that number?

What place is digit 8 in 9,345,841? hundreds What value is digit 8 in that number? 800 What place is digit 6 in 561,428? Ten thousands What is the value of digit 6 in that number? 60,000 What place is digit 3 in 3,925,976? millions What is the value of digit 3 in that number? 3,000,000

Quick Check Write the number in standard form : 1. Six million, two hundred thousand, six 2. 8,000, Write the number in expanded form : 3. 7,204, ,298,004 In your Math Notebook

Quick Check What is the value of the underlined digit in each number? 5. 48, ,587,092 How does each 7 have a different value ? Explain your thinking.

Today you learned how read, write, and say whole numbers to the millions! Good Work with this lesson.