Elementary Mathematics

Base 10numbers 1-9helps find place value in a number is number in the ones, tens, or hundreds can use base ten blocksOther basesOnly goes up to the number to the baseexample base 6 is 1-5You group the number by 6s so each pace value goes up to fiveYou should never have a number higher then the base number in the place By using other bases you can determine how place value works

Place Value Place is where the number isValue is how much the number is worthIn Base Ten each place value is 10x the amount of the lastSame with the other bases. Each base is base amount more Example: 10 to the 0 power (10x0)is the ones place 10 to the first power(10X1) is the the tens place and so on and so forth In base six 6 to the zero power or( 6x 0)is the ones place and 6 to the first power is (6x1) is the tens place To create a place value you multiply the number by 10.to get 5 in the thousand place you multiply (5x1000) or 5x10x10x10Word form When writing a number use commons to indicate the different placesOnly say and when using a decimal pointExample : 12,123.45 is Twelve thousand, one hundred twenty-three, and forty-five hundredths.Rounding If number behind is 5 or more round upIf number behind is under five round down.after you round all numbers behind the number you rounded should be zero

Expanded form: helps show value of each place in a numberTo create a place value you multiply the number by 10.To get 5 in the thousand place you multiply (5x1000) or 5x10x10x10Expanded notation: is writing a problem in its expanded form.Example: 123,456 which is in standard form in expanded notation is (1x100,000) (2x10,000) (3x1,000)(4x100) (5x10) (6x1)

Word form When writing a number use commons to indicate the different placesOnly say and when using a decimal pointExample : 12,123.45 is Twelve thousand, one hundred twenty-three, and forty-five hundredths.Rounding If number behind is 5 or more round upIf number behind is under five round down.after you round all numbers behind the number you rounded should be zero

Word form When writing a number use commons to indicate the different placesOnly say and when using a decimal pointExample : 12,123.45 is Twelve thousand, one hundred twenty-three, and forty-five hundredths.

Adding is when you take two numbers or addends and put them together for the sumStandard method 2+2=4Adding with ten blocks and regroupingUse blocks to represent number placeif number exceeds 9 exchange for the next block Adding with expanded notationbreak number down to expended notationadd numbers in the same place value Then add al numbers together into standard notationExample: 234+123 would be 100+20+3 and 200+30+4 200+100=300 20+30=50 3+4=7 300+50+7= 357

Number line use the number line to move or jump in an addition problemExample: in the problem 3+2 you would start at three on the number line and move two spaces. you would land on 2 which would be your answer.

Subtracting in standard formWhen you take a larger number and take away a smaller number from itYou take the minimum from the subtracted to get the difference Subtracting with base ten blockuse base 10 blocks to find the difference between numbersYou might need to borrow from the place above so you can subtract from a bigger number.Subtracting in expanded notation 234-123(200-100)+ (30-20) +(4-3)=111break the numbers down to there 10's place then subtract 10s places and add them up at the endSubtracting with a number lineUse a number line to go backwards from a numberIf you have 5-2 your would start at 5 and jump backwards two spaces landing you on 3

Repeated additionyou repeatedly add a number together the amount of times its being multiplied Example: 3x5 would be 3+3+3+3+3Equal groupsYou will divid the number into equal groupsIn 2x3 you will have 2 groups of 3

ArrayAn array is arrangement with manipulative that is as wide and long as your numbersif you have 3x3 your array would have three row each containing 3 manipulatives

Number lineUse a number line to jump by the number you are multiplyingIf you are doing 2x3 your going to start at o and jump 2 spaces 3 time

Area ModleYou will use expanded notation to separate the equation into their placesThen you place them into a box by placeyou will multiply each place together then add to get your total Lattice methodYou will create a box with as many rows as numbers in the problemyou will multiply each number one by one then add up all the numbers for your anwser

To determine if a big number is a prime number or what it can be divided by we have the divisibility rulesIf a number is divisible by...2 it will end in 0,2,4,6,83 the sum of the digits will be divisible by 34 the last to digit will be divisible by four5 the last digit will be a 5 or a 06 the number will be divisible by 2 and 39 the sum of the number will be divisible by 910 the number will end in 0

Prime numberany number that can be divisible by 1 or itselfprime factorization is writing a number as a product of its prime factorsbreaking down a number to its most basic units can break down using a factor tree factor tree breaks a number down into two factors and then breaks the factors down into two factors until it reachers a prime number

DivisionArray using muniplitives to make a box by splitting the larger number into groups of a smaller number18/3 would be 18 into 3 equal groupsyou then count the rows for the answer3 rows of 18 equals 6 equal groupsNumber line Repeated subtractions subtract smaller number from larger number 18/6 = 18-6-6-6=0Strip Diagramshow parts of a wholesets students up to learn about fraction draw a bar to represent dividend (18)draw bar below and cut it into 6you can skip court to get to 18 or dot one box at a till you to get to 18