DoNow Order the numbers in the list from

Do-Now Order the numbers in the list from least to greatest. 1) – 5. 2, – 0. 6, – 0. 3, – 0. 25 0. 6 2) 2. 1, 0. – 1. 3, – 1. 38, 2) Tell whether each of the following is a real number, rational number, an irrational number, an integer, or a whole number. 3) 3) –. 25 4) 8 5) 4) Graph the numbers on a number line. 5) 7) – 1 and – 5 6) 0

2. 2 – Properties of Real Numbers Property Commutative Property of Addition a+b=b+a Commutative Property of Multiplication a • b=b • a Associative Property of Addition a+(b+c)=(a+b)+c Associative Property of Multiplication a • (b • c)=(a • b) • c Distributive Property a • (b+c)=a • b+a • c Example 2+3=3+2 2 • (3)=3 • (2) 2+(3+4)=(2+3)+4 2 • (3 • 4)=(2 • 3) • 4 2 • (3+4)=2 • 3+2 • 4

Property Additive Identity Property a+0=a Multiplicative Identity Property a • 1=a Example 3+0=3 Additive Inverse Property a + ( -a ) = 0 Multiplicative Inverse Property 3 + (-3) = 0 3 • 1 =3 Note: a cannot = 0 Zero Property a • 0=0 5 • 0=0

Name the property: x+9=9+x commutative property of addition distributive property 2( x + 3 ) = 2 x + 6 x+(y+3)=x+(3+y) commutative property of addition (5 y ) • ( 1 ) = 5 y multiplicative identity property (xy)z = x(yz) associative property of multiplication (x + 5)(7 + x) = (x + 5) • (7)+(x + 5) • (x) (y + 2) + (-y + -2) = 0 distributive property additive inverse property multiplicative inverse property

2. 2, 2. 3 – Addition/Subtraction Rules of Addition for Integers Adding same signs: add the numbers & attach the sign ex) 5 + 6 = 11 ex) -4 + -3 = - 7 Opposite signs: Find the difference between the 2#’s, and then take the sign of the # with the larger absolute value ex) -9 + 2 = ex) -12 + 3 = ex) 5 + -15 = ex) 16 + -6 =

Rules of Subtraction Adding a negative # really means subtraction “Adding the opposite” (change subtraction to addition) ex) 3 – 5 = 3 + -5 = -2 ex) -2 – 5 = -2 + -5 = -7 Fractions Same Denominator Add/Subtract numerator, keep over original denominator Different Denominator Use a common denominator & then add/subtract