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Transcript
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…