Embedded Files
Chapter Goals:
Demonstrate an understanding of rational numbers by: comparing and ordering rational numbers; solving problems that involve arithmetic operations on rational numbers.
Determine the square root of positive rational numbers that are prefect squares.
Determine an approximate square root of positive rational numbers that are non-perfect squares. [C, CN, PS, R, T] [ ICT: P2-3.4]
Vocabulary
Vocabulary
Natural Numbers (N): counting numbers 1, 2, 3 (no 0, and no -’s)
Whole Numbers (W): 0 and the counting numbers - {0, 1, 2, …}
Integers (integral numbers) (I): Whole numbers and their opposites = {...-3, -2, -1, 0, 1, 2, 3…}...Negatives are ALWAY smaller than positive
Opposites: two numbers with opposite signs that are the same distance from zero. Ex +2 and - 2
Rational number(Q): the quotient of 2 integers (non-decimal number)
Quotient:the answer when you divide one number from another number.
Venn Diagram: the purpose is to show how these systems are linked together
SCIENTIFIC NOTATION
Scientific Notation (standard notation) standard way 1.5 x 106 = computer way 1.5 * 10^6
Decimal Notation = 1 500 000
^ = superscript on computers vs paper/pen
Calculator 1.5*10^6 is the same as 1.5 EE (enter exponent - enter exponent on a base 10) 1.5E6
COMPARISON of numbers
Compare numbers: =, ≠, >, <, ≥, ≤
Some students prefer to convert to decimal notation in order to compare numbers
SYMBOLS
+ → Adding OR Positive
- → subtracting OR negative
x → multiplication sign = * (computer sign) = () (parenthesis) = · (middle dot) = no symbol (ex: 5y)y is italicized
÷ → division, quotient, solidus (/), vinculum ab
Report abuse