Let’s Learn!
How do we use a place-value chart to compare numbers to the millions?
Goal:
Goal:
Think About It!
Goal: Use a place-value chart to compare two numbers up to the millions place.
We can find out which paving company has the lower price by comparing numbers with a place-value chart! Click the slides below to learn how!
You have learned so much about using a place-value chart and comparing numbers! We can follow the same steps to compare numbers to the millions. The prices for each paving company are below.
Company 1
$1,245,899
Company 2
$1,250,725
We are looking for the lower number to find the best cost. We can compare the numbers to find out which number is less than the other. Let's put these numbers in place-value charts so that we can compare the numbers. Do you remember which place value we start with when entering a number in a chart? Click the Show Me button to see if you are right!
ones
Click the next slide to put the numbers in charts!
Were you right? When we begin with the ones, we are sure to put each digit in the correct place. Now, let's enter the digits into the charts! Click the charts below for the numbers to appear in each chart.
Company 1
$1,245,899
Company 2
$1,250,725
Company 1
Company 2
How do we compare numbers? We begin with the largest place value! Which place will we begin comparing these two numbers?
millions
Click the next slide to start comparing!
We have the numbers in place-value charts, so we can start comparing the digits in the largest place. What digits do you see in the millions place? Both numbers have a 1 there, so we can't compare the numbers in that place. This means we need to move to the next place to the right. The hundred thousands place has a 2 in both charts. We can't compare this place value either. Continue moving to the next place to the right. The ten thousands place has different digits. Company 1 has a 4, and company 2 has a 5.
Company 1 Place value chart. Column 1-Millions:1 ,
Column 2-Hundred Thousands:2 ,Column-3 Ten Thousands:4 ,
Column-4 Thousands:5 , Column-5 Hundreds:8 , Column-6
Tens:9 , Column-7 Ones:9 . Company 2 Place value chart.
Column 1-Millions: 1 , Column 2-Hundred Thousands:2
,Column-3 Ten Thousands:5 , Column-4 Thousands: 0,
Column-5 Hundreds:7 , Column-6 Tens:2 , Column-7 Ones:5
.
Click the next slide to compare the ten thousands place!
We know that 4 is less than 5. We can write that like this:
4 < 5
We found the smaller number, or the one that is less! Click the charts to see which place value determined which number was the lesser number.
Company 1 Place value chart. Column
1-Millions:1 , Column 2-Hundred Thousands:2
,Column-3 Ten Thousands:4 , Column-4 Thousands:5
, Column-5 Hundreds:8 , Column-6 Tens:9 ,
Column-7 Ones:9 . Company 2 Place value chart.
Column 1-Millions: 1 , Column 2-Hundred
Thousands:2 ,Column-3 Ten Thousands:5 , Column-4
Thousands: 0, Column-5 Hundreds:7 , Column-6
Tens:2 , Column-7 Ones:5 .
Company 1 Place value chart. Column
1-Millions:1 , Column 2-Hundred Thousands:2
,Column-3 Ten Thousands:4 , Column-4 Thousands:5
, Column-5 Hundreds:8 , Column-6 Tens:9 ,
Column-7 Ones:9 . Company 2 Place value chart.
Column 1-Millions: 1 , Column 2-Hundred
Thousands:2 ,Column-3 Ten Thousands:5 , Column-4
Thousands: 0, Column-5 Hundreds:7 , Column-6
Tens:2 , Column-7 Ones:5 . The ten thousands
place is highlighted in both place value
charts.
The ten thousands place has been colored in because it is the place that compares these two numbers! We found the answer! The aquarium owner should hire Company 1 to pave the parking lot because their price is the better deal!
$1,245,899 < $1,250,725
Click the next slide to see these large numbers in expanded form!
We have seen some numbers in expanded form during our time in the aquarium, but we haven't seen numbers this big in expanded form! Let's see what they look like!
Remember that expanded form is writing the numbers as the sum of the values of the digits. Expanded form can help us compare the numbers, too!
1,000,000 + 200,000, + 40,000 + 5,000, 800 + 90 + 9 =
1,245,899. 1,000,000 + 200,000 + 50,000 + 0 + 700 + 20 +
5 = 1,250,725
Wow! Look how big these numbers are! When we write out the values of the millions, hundred thousands, and ten thousands this way, you can see that the ten thousands place determines the lesser number!
Let's try comparing different numbers. Can you figure out which place value determines the greater number? Click the next slide to see!
Let's compare these numbers:
5,326,741
5,326,729
These numbers are very similar, but putting them in place-value charts will help us see which place determines the greater number. That's our first step when comparing numbers. Remember to always begin with the ones place! Click the chart below to see the numbers filled in. We will put both numbers in one chart to make it even easier to compare them.
Row 1: Place value chart. Column 1-Millions: ,
Column 2-Hundred Thousands: ,Column-3 Ten
Thousands: , Column-4 Thousands: , Column-5
Hundreds: , Column-6 Tens: , Column-7 Ones: .
Row 2: 5,326,741 Place value chart. Column
1-Millions: 5, Column 2-Hundred Thousands:3
,Column-3 Ten Thousands:2 , Column-4 Thousands:6
, Column-5 Hundreds:7 , Column-6 Tens: 4,
Column-7 Ones:1 . Row 3: 5,326,729 Place value
chart. Column 1-Millions: 5, Column 2-Hundred
Thousands: 3,Column-3 Ten Thousands:2 , Column-4
Thousands:6 , Column-5 Hundreds:7 , Column-6
Tens:2 , Column-7 Ones:9 .
Beginning with the largest place, can you compare the digits to find the place that determines the greater number? Click the next slide to see if you are correct!
Which place value do you think determines the greater number? Click the box below to see the answer!
Row 1: Place value chart. Column 1-Millions: ,
Column 2-Hundred Thousands: ,Column-3 Ten
Thousands: , Column-4 Thousands: , Column-5
Hundreds: , Column-6 Tens: , Column-7 Ones: .
Row 2: 5,326,741 Place value chart. Column
1-Millions: 5, Column 2-Hundred Thousands:3
,Column-3 Ten Thousands:2 , Column-4 Thousands:6
, Column-5 Hundreds:7 , Column-6 Tens: 4,
Column-7 Ones:1 . Row 3: 5,326,729 Place value
chart. Column 1-Millions: 5, Column 2-Hundred
Thousands: 3,Column-3 Ten Thousands:2 , Column-4
Thousands:6 , Column-5 Hundreds:7 , Column-6
Tens:2 , Column-7 Ones:9 .
Row 1: Place value chart. Column 1-Millions: ,
Column 2-Hundred Thousands: ,Column-3 Ten
Thousands: , Column-4 Thousands: , Column-5
Hundreds: , Column-6 Tens: , Column-7 Ones: .
Row 2: 5,326,741 Place value chart. Column
1-Millions: 5, Column 2-Hundred Thousands:3
,Column-3 Ten Thousands:2 , Column-4 Thousands:6
, Column-5 Hundreds:7 , Column-6 Tens: 4,
Column-7 Ones:1 . Row 3: 5,326,729 Place value
chart. Column 1-Millions: 5, Column 2-Hundred
Thousands: 3,Column-3 Ten Thousands:2 , Column-4
Thousands:6 , Column-5 Hundreds:7 , Column-6
Tens:2 , Column-7 Ones:9 The Tens column in both
numbers is highlighted.
For these two numbers, you have to compare the numbers from the millions place all the way to the tens place to determine the greater number! Because 4 is greater than 2, we know that…
$5,326,741 > $5,326,729
You are doing great comparing numbers to the millions! Click the next page to learn more!