Review Unit 10 - Order of Operations with Rational … Unit 10 - Order of Operations with Rational...
14
Review Unit 10 - Order of Operations with Rational Numbers Common Core Standards 7.NS.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. 7.NS.3. Solve real-world and mathematical problems involving the four operations with rational numbers.
Transcript of Review Unit 10 - Order of Operations with Rational … Unit 10 - Order of Operations with Rational...
Review Unit 10 - Order of Operations with Rational Numbers
Common Core Standards
7.NS.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
7.NS.3. Solve real-world and mathematical problems involving the four operations with rational numbers.
WARM-UP
1) 2)
4)
Evaluate the expressions.
7( 4)−568
−−
19 0− ×5)
1 ( 2) 3 ( 6)− × − × × −3)
1 ( 2) ( 3) ( 6)− × − × − × −
Order of Operations WITH Rational Numbers
What are the rules for evaluating expressions?
1)
2)
3)
4)
REVIEW
Evaluate the expressions for x = -12.
x ___ z∗ = −
If and x, y, and z are positive, determine if "y" or "–y" completes the equation.
x y z∗ =
Which two have an answer that is undefined?
8 0÷ 0 8÷80
REVIEW Evaluate the expression.
7 4 12 6 5× − ÷ +
48 ( 8) 2 ( 5)− ÷ − − × −
REVIEW Evaluate the variable expression for x = -4 and y = -6.
7x y 5− −
REVIEW Name the variable
5yName the exponent
Name the base.
REVIEW Evaluate the expressions.
Evaluate the variable expressions for x = -3 and y = 5.
3( 5)−28 2 5 10+ × ÷
1x 2x 2y−
REVIEW
Evaluate the variable expression for x = 3. 210(3x 5)− −
5( 10 24 3) 7− + ÷ +Evaluate the expression.
REVIEW Evaluate the expression.
2( .5) .75− +2(.3)
21.947 (9.02)− +
Use rounding to find which number is closest to the exact answer.
a)20 b)79 c) 10−
REVIEW Evaluate the expressions.
2110
⎛ ⎞⎜ ⎟⎝ ⎠
2 1717 5
−⎛ ⎞− × ⎜ ⎟⎝ ⎠
4 3 57 7 7− +
3 7 14 8 2− ×
REVIEW
1.7 25
− × 3 .5 24+ ÷
Evaluate the expressions. State answers as both decimals and fractions unless it’s a whole number.
PRACTICE
Evaluate the variable expressions for x = -3.
Evaluate the expression.
24 2 3 4 7÷ − × +
Evaluate the variable expressions for y = - 3. 3y
( )21 x− +
Evaluate the expression. 23 1
4 2⎛ ⎞+ −⎜ ⎟⎝ ⎠
FINAL QUESTION If x and y are positive numbers, determine whether the answer is positive sometimes, always, or never.
x ( y)− + − x( y)− −
