Download Place Value - Net Start Class

Place Value
8
4
2 ,
9
5
1
 The place of a digit is where that digit lives (its home)
 Example: the digit 8 lives in the hundred thousands place and the digit 9
lives in the hundreds place
 The value of a digit is what that digit is worth
 Example: the digit 8 (hundred thousands place)= 800,000 and the digit 9
(hundreds place) = 900
Standard Form: 842,951 written in numbers only
Written Form: eight hundred forty two thousand, nine hundred fifty-one
Expanded Form: 800,000 + 40,000 + 2,000 + 900 + 50 + 1 ; the sum of
the value of each digit
Standard Form to Expanded Form
 Place the standard number “in jail”
4
5
7,
1
9
3
4
0
0,
0
0
0
+
5
0,
0
0
0
+
7,
0
0
0
+
1
0
0
+
9
0
+
3
400,000+50,000+7,000+100+90+3 = 457,193
Expanded Form to Standard Form
300,000 + 20,000 + 1,000 + 400 + 5
Option 1: Add the numbers -
300,000
20,000
1,000
400
+_____5
321,405
Option 2: Count the number of places in the largest number, make
place value marks; 300,000 count over 6 places and write the
number 3; 20,000 count over 5 places and write the number
2; 1,000 count over 4 places and write the number 1; 400
count the number of places and write the number 4; 5 count
one place and write 5; any empty spaces fill in with zero’s.
3 2 1,4 0 5
Written Form to Standard Form
one hundred twenty six thousand, fifty seven
Step 1: cover the words from thousand to the end (right side)
You will see: one hundred twenty six
Step 2: write the number
126
Step 3: the word “thousand” means a comma
126,
Step 4: cover up the words from thousand to the beginning
You will see: fifty seven
Step 5: Write the number **remember there are 3 places in each place
value periods
ANSWER: 126,057
Finding the value of a digit:
What is the value of the underlined digit?
Write the digit under the underlined digit and
fill in the remaining places with zero’s.
ANSWER: The value of the 7 = 70,000
74,594
74,594
70,000