Math Rules Arithmetic and Pre-Algebra Algebra: Division Subtraction Multiplication Addition Adding & Subtracting: Adding is easy. When you have two or more numbers the order of the numbers does not matter. 981

+25 How to Subtract When solving addition algebra problems you do the OPPOSITE operation to get the answer. In addition, the position of the number does not matter. When solving subtraction algebra problems there

could be two possible ways to solve the problem. The

first involves adding(the opposite operation) the second

involves subtracting. When solving multiplication algebra problems, it does

not matter where the numbers are. You always do the opposite operation to solve the equation. Adding: How to Add Example: 5+5 = 10 7+2 = 9 The numbers can be switched

and the sum does not change 5+5 = 10 2+7 = 9 Adding Rules: Adding Vertically with More than one Digit 1006 1 1 regrouping: When adding, vertically, sometimes you must

"carry" a number to solve the problem. This means

that after you get the sum of the two numbers, you must

add the number you carried to the sum. 6781

+232 ???? 6781

+232 7013 1 1 Subtracting Subtracting is simple. However, you CANNOT switch

numbers. This will get you the wrong answer. 15-2= 13 Example: 25-15= 10 2-15= 13 15-25=10 NEVER switch the two numbers in

a subtraction problem. NEVER subtract a SMALL number from

a LARGER number. Subtracting Rules: Subtracting Vertically with More

than one Digit 502

-16 486 502

-16 4 9 1 1 "Borrowing" Since you CANNOT subtract a large

number from a smaller number, sometmes

you have to "borrow" a unit from the neighboring number to the left. 2000

- 19 1 9 9 1 1981 2000

- 19 ???? Arithmetic Math Rules 25+n=57 Example: think: 57-25 n=32 ANSWER: TRY IT : 57+f= 345 Think: 345-57= 288 f= 288 Example1 : 57-f = 10 Think: 57 -10= 47 Since you cannot subtract a larger number

from small number, that means the number

to the FAR LEFT is the LARGEST number. When the LAGEST number is given,

this means you must SUBTRACT to

solve the problem. f = 47 Example2: g-67= 25 Think: 25+67= 92 g = 92 When the number on the right of the equation is given,

you must do the opposite operation to solve the problem.

This means you must ADD. TRY THESE:

57-r= 25

w-25= 45 Think: Think: 57-25=32 r=32 45+25=70 w=70 Example: 5 x f = 45 Think: 45 / 5= 9 f = 9 TRY THIS: 8 x i = 48 Think: 48 / 8 = 6 i= 6 When solving division algebra problems, there are

two ways to solve it. By dividing or by multiplying (the

opposite). r /8= 48 60/y= 10

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# 4th Grade Arithmetic & Algebra

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