Download Number Concepts Review notes

Grade 6 Math
Number Concepts Review Sheet
Important Words to Know
Standard Number Form
Place Value
Decimal
Composite Number
Numeral
Integer
Set
Prime Number
Region
Expanded Number Form
Millions Place Value
Place Value to right of decimal
Divisible
Rounding
Multiple
Factor
Prime Factorization
Remainder
Written Number Form
Billions Place Value
Periods
Estimation
Place value
Least Common Multiple
Greatest Common Factor
Pattern
Number Representation
Standard Form – number is written in
conventional form e.g. 4210
Expanded Form – number is written as an
addition equation. E.g. 4000 + 200 + 10
Word Form – number is written in words
e.g. Four thousand two hundred ten
Large and Small Number Identification
Students must be able to recognize and identify
numbers that exceed one hundred billion.
e.g. 1 000 000 000 or 823 870 000
Students must be able to recognize and identify
decimal numbers.
e.g. 43.566 or 8.547 98
Whole Number Rounding
1. Underline the number you need to round (use place value chart)
2. Look at the number directly to the right of your underlined number.
3. If it is: 5 or greater, change your underline number one up, change all other numbers behind it to a 0.
If it is: 4 or less, keep your number the same, change all other numbers behind it to a 0.
Example:
4 564 - round to the nearest hundred
The number to the right of the 5 is a 6.
The 6 tells the 5 to round up.
Change the 5 to a 6.
All numbers behind the changed 6, changes to 0.
4 564 - 4 600
Greatest Common Factor

Factors are the numbers you multiply together to get a product.
All numbers have at least 2 factors: 1 and itself
Example:
12 = 1 x 12, 2 x 6, 3 x 4
So the factors are:
12 = 1, 2, 3, 4, 6, 12
The GCF or Greatest Common Factor is the largest factor that is common to a set of number.
Example:
12 = 1, 2, 3, 4, 6, 12
6 = 1, 2, 3, 6
The GCF of these numbers is 6.
Lowest Common Multiple

Multiples are numbers that can be divided into your number (count by your number!)
Multiples = many, they go on forever!
Example:
3 = 3, 6, 9 ,12, 15, etc…
The Lowest Common Multiple or LCM of a set of numbers is the smallest multiple they have that are the same.
Example:
3 = 3, 6, 9, 12, 15, etc.
4 = 4, 8, 12, 16, etc.
The LCM = 12
Prime Numbers
Have only 2 factors – one and itself! There are no other ways to make it by multiplying.
Examples:
2=1x2
3=1x3
17 = 1 x 17
Composite numbers
Have more that 2 factors (There is more that only one way to make it by multiplying)
Examples:
6 = 1 x 6 and 2 x 3
9 = 1 x 9 and 3 x 3
12 = 1 x 12, 2 x 6 and 3 x 4
Prime Factorization
Are the prime numbers you multiply together to get a number, use a factor tree!
Example:
12
a.6
2
12 = 2 x 2 x 3 (Look at the last row of numbers)
2
3
Time

There are 365 days in one year.

There are 24 hours in one day.

There are 60 minutes in every hour.
 There are 60 seconds in every minute.
Integers
 These are numbers that are both positive and negative (think temperature!)
Numberline: (Remember each end can go on forever!)
Etc….
-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Smaller Numbers
Etc…