Show:
Integers and Number Lines
Absolute Value
Rational Numbers
PEMDAS
Properties
100
Negative integers are plotted in what direction on the number line?
To the left
100
|3-(-2)|
5
100
Is 2/3 a rational number? Explain why.
Yes because the denominator is not equal to zero. It also converts to a decimal and repeats.
100
4+5×6−7
27
100
6(5 – 2)
18
200
Plot and solve the equation on a number line. -9 + 5=
-9 + 5= -4
200
Solve -3+ |-8 - 5|
10
200
Convert 10/8 into a decimal and determine if it terminates or repeats.
1.25 and it terminates.
200
(21-5)÷3-7
-2
200
Rewrite 52 • y in a different way, using the commutative property of multiplication. Note that y represents a real number. A) 5y • 2 B) 52y C) 26 • 2 • y D) y • 52
D
300
Plot and solve the equation on a number line. 10 + (-4) – 8=
10 + (-4) – 8= -2
300
|-36|x|-1/2|
18
300
What is a rational number?
A rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero.
300
Simplify the expression: −5 + 25 – 15 + 2 + 8
15
300
Robert has 8 notebooks and his brother has 6. If we double both amount, how many do they now have altogether? Write an expression using the distributive property and solve. Be able to explain your thinking.
2(8+6) 28
400
True/False: When multiplying two negative integers the result is always negative. Explain your answer.
False. When multiplying two positive integers the answer is always positive.
400
Susan and Jasmine both need money to buy a new dress for a birthday party. Susan’s dress costs $13.50 and Jasmine’s dress costs $15.25. Explain how to use absolute value to determine who needs more money for their new dress, Use a number line to show your answer.
Jasmine because |15.25|>|13.50|
400
Are 4/5, -8 and 1.75 rational numbers?
YES. The numbers either terminate in decimal form or the denominator is not equal to zero.
400
Joe buys 2 shirts at $8.00 each. He also buys a pair of jeans for $20.00 that gets a $3.00 discount. Write the expression, solve. Be able to explain your thought process.
2x8 + (20-3) 33
400
You go to the supermarket. 1 bag of apples costs 4 dollars. 1 gallon of milk costs 10 dollars. You get 6 bags of apples and 6 gallons of milk. How much money do you pay the cashier? Write an expression using the distributive property and solve. Be able to explain your thinking.
6(4+10) 84
500
In Buffalo, NY, the temperature was -14 F in the morning. If the temperature dropped 7 degrees what is the temperature now?
-21F
500
The Heat lost Game 1 of NBA Finals by 15 points. They then won Game 2 by 27 points. Explain how to use absolute value to determine in which game the Heat had a larger point difference.
Game 2 has a bigger point differential because |27|>|-15|
500
You just received your paycheck of $150.000. You spend $60.00 at the mall. You buy yourself dinner for $10.00. Your friend pays you back $35.00 he owes you. How much money do you have left at the end of the day?
$115.00
500
Let’s say you’re going back-to-school shopping. You pick out a pair of pants that are $15 and five uniform shirts that cost $12 each. But the pants are $5 off. What’s the total? Write the expression, solve. Be able to explain your thought process.
5x12+(15-5) 70
500
You have $193 in your bank account. You get $32 for your birthday. You then find $7 on the sidewalk. Write the expression and name 2 properties you use to solve. Be able explain your thinking.
193+32+7 Commutative: 193+7+32 Associative: (193+7)+32 232