Content text Math Cheat Sheet.pdf
NUMBERS PRIME NUMBERS - numbers that have exactly two factors only. COMPOSITE NUMBERS - numbers that have more than three factors. Zero (0) is neither prime nor composite because it has infinitely many factors. Any number multiplied by 0 would equal to 0. Zero (0) is neither prime nor composite because it has only one factor (itself). LIST OF PRIME NUMBERS EVEN NUMBERS are numbers that end (units digits) in 0, 2, 4, 6, or 8. ODD NUMBERS are numbers that end (units digits) in 1, 3, 5, 7, or 9.
NUMBERS Positive numbers are all numbers to the right of zero on a number line. Negative numbers are all numbers to the left of zero. Zero (0) itself is neither positive nor negative. ROUNDING NUMBERS If the number you are rounding has a 0, 1, 2, 3, or 4 after it, round it down. • Example, 124 rounded to the nearest ten place is 120. If the number you are rounding has a 5, 6, 7, 8, or 9 after it, round it up. • Example, 236 rounded to the nearest ten place is 240. PLACE VALUE TABLE Million Hundred thousand Ten Thousand Thousand Hundred Ten Unit DECIMAL POINT I tenth 1 hundredth 1 thousandth 1 000 000 100 000 10 000 1 000 100 10 1 ● 0.1 0.01 0.001 ●
OPERATIONS PROPERTIES 1. Associative Property: When adding OR multiplying 3 or more numbers, they can be grouped in any way and the answer remains the same. • Examples, (1 + 2) + 3 = 1 + (2 + 3) (1 × 2) × 3 = 1 × (2 × 3) 2. Commutative Property: Numbers can be added or multiplied in any order and the answer is still the same. • Examples, 5 + 4 = 4 + 5 5 × 4 = 4 × 5 3. Distributive Property: Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. • Example, 3 × (6 + 9) = (3 × 6) + (3 × 9) 4. Identity Property: When you add 0 to any number your answer is that number. When you multiply any number by 1 your answer is that number. • Examples, 1 258 + 0 = 1 258 25 578 × 1 = 25 578 5. Zero Property: Any number multiplied by zero is zero. • Example, 348 574 × 0 = 0 ORDER OF OPERATIONS Brackets Perform all operations inside brackets. Orders Perform the order (or exponent). Division Going left to right, perform division or multiplication operations. Multiplication Addition Going left to right, perform addition or subtraction operations. Subtraction
OPERATIONS ADDING NUMBERS To add two or more numbers, write the numbers vertically, with the digits in the units place lined up, then add the digits starting with the digits in the units place first then moving left. Do regrouping when necessary. SUBTRACTING NUMBERS To subtract two or more numbers, write the numbers vertically, with the digits in the units place lined up, then subtract the digits starting with the digits in the units place first then moving left. Do regrouping when necessary. ADDITION TABLE