CHAPTER 1 LESSON
1
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“PLACE VALUE AND ROUNDING
NUMBERS”
Problem: Show the places and values of the digits of a
number.
Answer: see chart
below
PLACES 
Millions 
Hundred thousands 
Ten Thousands 
Thousands 
Hundreds 
Tens 
Units
or Ones 
. 
tenths 
hundredths 
thousandths 
DIGITS 
4, 
1 
5 
2, 
9 
0 
7 
. 
8 
6 
3 
VALUES 
4,000,000 
100,000 
50,000 
2000 
900 
NO TENS 
7 
. 
8 10 or 0.8 
6 100 or 0.06 
3 1000 or 0.003 
Examples:
30.47
Digit 
Place 
Value 
1. 3 
?? 
?? 
2. 0 
?? 
?? 
3. ?? 
tenths 
?? 
4. ?? 
?? 
7 100 
Answer:
30.47
Digit 
Place 
Value 
1. 3 
tens 
30 
2. 0 
units or ones 
0 
3. 4 
tenths 
0.4 or 4 10 
4. 7 
hundredths 
7 100 
ROUNDING WHOLE NUMBERS AND DECIMALS
The most common method for rounding WHOLE
NUMBERS consists of the following steps:
Example:
Round 8467 to
nearest hundred.
Let’s follow the
rules above—
1. The digit in the hundreds place in the number
8467 is 4
2. Check the digit to the right of the 4. What number is to the right of the 4?? Answer: 6. 6 is more than 5 so we will round up.
3. We need to add a 1 to the 4 which was in the
hundreds place—so the answer becomes 8500
since we are rounding off.
To round off decimals:
Find the place value
you want (the "rounding digit") and look at the digit just to the
right of it.
If that digit is
less than 5, do not change the rounding digit but drop all digits to the right
of it.
If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it.
Example:
Round 0.628 to
nearest tenth.
1. Find the digit that is in the tenths place. In the problem 0.628—the 6 is in the tenths place.
2. Look at the digit that is to the right of the 6—that would be 2. Since 2 is less than 5, we would not change the number in the tenths place—just drop the numbers after the 6, since we are rounding off to the nearest tenth.
Answer: 0.6
Final Example:
Round 326,735 to the
nearest thousand.
Follow the rules above for
rounding whole numbers.
1. Determine what digit is in the thousands place?? In the number 326,735the number in the thousands place is 6. Look to the number to the right of the 6. That number is 7. 7 is more than 5, so we will add a 1 to the number 6, which changes the number to 327,000 since the final numbers are changed to zeros since we are rounding off. The answer is 327,000

Work on the problems
below. You will see boxes below. After working on your problems, you are to
type the correct answer into the selected boxes and then submit only those answers.
Your other answers can be checked by clicking onto “CHECK ANSWERS.”
Round each number to the place shown.
To the nearest hundred: 1. 6324 2. 8761 3. 71,583 4. 69, 208 
To the nearest thousand: 5. 4294 6. 5026 7. 39,057 8. 79,637 
To the nearest tenth: 9. 0.12 10. 0.46 11. 6.021 12. 4.903 13. 2.695 
To the nearest hundredth: 14. 0.392 15. 0.018 16. 35.613 17. 98.765 18. 3.166 19. 48.019 
CHECK
ANSWERS
Student’s First & Last Name:
2. 4. 6. 7. 11. 
13. 14. 16. 17. 19. 
Note:
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