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Properties Review 
Math Properties Place Value
Question:What is place value?
Answer:
Each digit in a number has a place value that tells you how much that digit is worth.
Each place value is ten times as large as the next place value to the right.
Numbers are arranged into three place values called periods
The places in the period repeat (hundreds, tens, ones.)
Commas are used to separate periods.
Place Value Chart
Standard Form
Question:What is standard form?
Answer:
When a number is written in standard form digits are used to represent the place value of a number.
Example:
thirteen million, two hundred thirty-five thousand, four hundred seventy-three
Standard Form: 13, 255, 473
Example:
thirty-five thousand, five hundred, eighty-seven
Standard Form:
35,587
Written Form
Question:What is written form?
Answer:
Written form is writing a number in the words that represent the actual number.
Example:
1,326,789
Written Form:
one million, three hundred twenty-six thousand, seven hundred eighty-nine
Example:
6,876,554
Written Form:
six million, eight hundred seventy-six thousand, five hundred fifty-four
Comparing Numbers
Question:How do we compare numbers?
Answer:
To compare numbers, start with the greatest place value. Then compare the digits in each place until you find the greater number.
These symbols can help you compare numbers:
> Means Greater Than
< Means Less Than
= Means Equal To
Example:
Which of these numbers has the least value?
987,301
886,291
897,401
Strategy: Use Place Value
Step 1: What is the greatest place value of these numbers?
Step 2: Compare the digits in the hundred thousands place.
987,301 886,291 897,401
9 > 8 so 987,301 has the greatest value.
Step 3: Compare the next digit in the remaining numbers.
886,291 897,401
8 < 9 so 886,291 is less than 897,401
Answer: 886,291 Has the least value.
Ordering Numbers
Question:How do we order numbers?
Answer:
To order numbers, start with the greatest place value. Then compare the digits in each place until you find the greater number. Remember to write the numbers in the order asked for in the question. (From least to greatest OR from greatest to least.)
Example:
Lake Area (in square miles)
Great Bear Lake 12,275
Lake Superior 31,700
Lake Huron 23,000
Lake Michigan 22,300
Order the lakes from the lake with the smallest area to the lake with the largest area.
Strategy: Use Place Value
Step 1: What is the greatest place value of these numbers?
Step 2: Compare the digits in the ten thousands place.
12,275 31,700 23,000 22,300
1 < 2 < 3
Only the number 12,275 has a 1 in the ten thousands place. Great Bear has the smallest area.
Only the number 31,700 has a 3 in the ten thousands place. Lake Superior has the largest area.
Step 3: Compare the next digit in the remaining numbers.
23,000 22,300
2 < 3 so 22,300 is less than 23,000. Lake Michigan has an area smaller than Lake Huron.
Answer: Order from smallest to largest.
Great Lake Bear, Lake Michigan, Lake Huron, Lake Superior.
