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Introduction to Place Values
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The following are the names of the place values for integers. We will see the place values for positions after the decimal point later.
A box displaying the number 6,731,239,465. Above each number are the names of each place value. Above the five on the far right is the word “ones.” To the left of it above the six is says, “tens.” To the left of that, above the 4 is says, “Hundreds.” Continuing left above each number is says: Thousands, Ten Thousands, Hundred thousands, Millions, Ten millions, hundred millions, and Billions.

Why is place value important? Place value is important when doing arithmetic. You need it to regroup when doing subtraction. You will also use it in addition and multiplication to regroup into the next place value. You need to understand it in order to estimate and round numbers.

Place Values (whole numbers)

Video Source (04:43 mins) | Transcript

How to say large numbers

Video Source (01:56 mins) | Transcript

Additional Resources

Practice Problems

1. Consider the number 7,986,035,214. What is the place value for each number:
(
Solution
x
Solution:
a. 1 tens
b. 2 hundreds
c. 3 ten thousands
d. 4 ones
e. 5 thousands

Details:
A box displaying the number 7,986,035,214 and above each number stating the name of each place value

a. The number 1 is in the tens place. Located between 2 -hundreds and 4-ones.
7,986,035,214

b. The number 2 is in the hundreds place. Located between 5-thousands and 1-tens.
7,986,035,214

c. The number 3 is in the ten thousands place. Located between 0-hundred thousands and 5 thousands.
7,986,035,214

d. The number 4 is in the ones place. The last number on the right, next to 1-tens.
7,986,035,214

e. The number 5 is in the thousands. Located between 3-ten thousands and 2-hundreds.
7,986,035,214
)
a. 1
b. 2
c. 3
d. 4
e. 5
2. Consider the number 7,986,035,214. What is the place value for each number:
(
Video Solution
x
Solution:
a. 6 millions
b. 7 billions
c. 8 ten millions
d. 9 hundred millions
e. 0 hundred thousands

Details:

(Video Source | Transcript)
)
a. 6
b. 7
c. 8
d. 9
e. 0
3. Consider the number 3,562,907,148. What is the place value for each number:
(
Solution
x
Solution:
a. 3 billions
b. 2 millions
c. 0 ten thousands
d. 1 hundreds
e. 5 hundred millions

Details:
a. 3 is in the billions. We can also say we have three 1,000,000,000.
Noticed there are nine numbers after the 3.
3,562,907,148

b. 2 is in the millions place. We have two 1,000,000.
Noticed there are six numbers after the 2.
3,562,907,148

c. 0 is in the ten thousands. We can say we have zero 10,000.
Noticed there are four numbers after the 0.
3,562,907,148

d. 1 is in the hundreds, so we have one 100.
Noticed there are two numbers after the 1.
3,562,907,148

e. 5 is in the hundred millions. We have five 100,000,000.
Noticed there are eight numbers after the 5.
3,562,907,148
)
a. 3
b. 2
c. 0
d. 1
e. 5
4. Consider the number 3,562,907,148. What is the place value for each number:
(
Video Solution
x
Solution:
a. 6 ten millions
b. 9 hundred thousands
c. 7 thousands
d. 4 tens
e. 8 ones

    Details:

    (Video Source | Transcript)
    )
    a. 6
    b. 9
    c. 7
    d. 4
    e. 8

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