Rational Number Addition/Subtraction Review (Investigating Patterns)

1

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

1

-15.2 + (-7.4) =

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

1

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

1

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

1

Supergirl had some kryptonite with a radiation rating of -4.5 rads. She uses her super strength to combine it with some lead, which has radiation rating 7.1 rads. What is the final radiation rating of this combination?

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

1

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

1

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

1

Batman had to withdraw a total of $38.22 from three bank accounts. Does this represent a positive or negative change in value of each bank account?

1

Which property or properties can be used with addition? Choose all that apply.

1

Which property or properties can be used with subtraction? Choose all that apply.

1

If a and b are positive numbers explain (-a) - (-b)

1

Type your equation without commas or spaces and put parentheses around negative numbers. EX: 4+(-2)=2

1

What can you say about the sum of −2 + 3 and 3 + (−2)? Does order matter when adding numbers? Why or why not?

1

What similarities do you see with all of the problems in Box 1?

1

Consider each of these expressions. What patterns can you find that would help you find the SIGN of the solution WITHOUT actually calculating them? (How do you know if they will be positive/negative?)

1

Write two equivalent expressions that represent the diffence between the situations. Type your expressions without commas or spaces and put parentheses around negative numbers. Put a semi-colon between expressions: EX: 4+(-2); 4-2
“An airplane flies at an altitude of 26,000 feet. A submarine dives to depth of 700 feet below sea level.”

1

What is the difference in their elevations?
“A boat submerges 360 ft. A bird flies 200 ft above sea level.”

1

6 - (-2)
|3 + 4| −| −2 + −1 |
0 - 2
-4
|-7 + 5|
|4|
|5-3| + 2
|-2|
|2|

Absolute Value of 4
Absolute Value of 2

1

Which of these story problems describes the sum 19+(−12)? (Check all that apply.)
Show your work to justify your answer.
A.
Jared's dad paid him $19 for raking the leaves from the yard on Wednesday. Jared spent $12 at the movie theater on Friday. How much money does Jared have left?
B.
Jared owed his brother $19 for raking the leaves while Jared was sick. Jared's dad gave him $12 for doing his chores for the week. How much money does Jared have now?

C.
Jared's grandmother gave him $19 for his birthday. He bought $8 worth of candy and spent another $4 on a new comic book. How much money does Jared have left over?

Rational Number Addition/Subtraction Review (Investigating Patterns)

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

-15.2 + (-7.4) =If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

Batman had to withdraw a total of $38.22 from three bank accounts. Does this represent a positive or negative change in value of each bank account?

Which property or properties can be used with addition? Choose all that apply.

Which property or properties can be used with subtraction? Choose all that apply.

If a and b are positive numbers explain (-a) - (-b)

Type your equation without commas or spaces and put parentheses around negative numbers. EX: 4+(-2)=2

What can you say about the sum of −2 + 3 and 3 + (−2)? Does order matter when adding numbers? Why or why not?

What similarities do you see with all of the problems in Box 1?

Consider each of these expressions. What patterns can you find that would help you find the SIGN of the solution WITHOUT actually calculating them? (How do you know if they will be positive/negative?)

What is the difference in their elevations? “A boat submerges 360 ft. A bird flies 200 ft above sea level.”

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

-15.2 + (-7.4) =If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

Batman had to withdraw a total of $38.22 from three bank accounts. Does this represent a positive or negative change in value of each bank account?

Which property or properties can be used with addition? Choose all that apply.

Which property or properties can be used with subtraction? Choose all that apply.

If a and b are positive numbers explain (-a) - (-b)

Type your equation without commas or spaces and put parentheses around negative numbers. EX: 4+(-2)=2

What can you say about the sum of −2 + 3 and 3 + (−2)? Does order matter when adding numbers? Why or why not?

What similarities do you see with all of the problems in Box 1?

Consider each of these expressions. What patterns can you find that would help you find the SIGN of the solution WITHOUT actually calculating them? (How do you know if they will be positive/negative?)

What is the difference in their elevations? “A boat submerges 360 ft. A bird flies 200 ft above sea level.”

-15.2 + (-7.4) =

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

What is the difference in their elevations?
“A boat submerges 360 ft. A bird flies 200 ft above sea level.”

-15.2 + (-7.4) =

If the problem starts as a fraction, the answer must also be a fraction. If the problem is a decimal, the answer must be a decimal.

What is the difference in their elevations?
“A boat submerges 360 ft. A bird flies 200 ft above sea level.”