Adding/Subtracting Integers
When adding and subtracting integers with different signs, how can you determine the sign of the solution without doing any calculations?
The sign will be that of the bigger number.
If I have an expression that contains ALL multiplication and division and there are 3 negative numbers in the expression, what will the sign of my solution be?
Negative
What is my rule for adding and subtracting decimals?
Line up the decimal and treat it normal.
True or False. When Multiplying and Dividing fractions before you do anything you must apply the "Keep, Change, Change" method.
False. It is only applied to division.
Jane and Sarah both dive down from the surface of a pool. Jane first doves down 5 feet, and then dives down 3 more feet. Sarah dives down 6 feet and then down 2 feet. Who is deeper in the pool?
They are both at -8 feet.
Change the following problem into addition...
-3 - (-11)
-3 + 11
(-) x (+) x (+) x (-) x (-) x (-) x (+)
what is the sign of the example above?
4 Negatives = Positive
Amanda says that the problem -3.45 + -8.63 will result in a positive answer because two negatives make a positive. He she correct?
No, that is only true with multiplication and division.
How would you change the following expression...
(-3/7) / (5/14)
(-3/7) x (14/5)
Cheyenne is playing a board game. Her score was -275 at the start of her turn, and at the end of her turn her score was -425. What was the change in Cheyenne's score from the start of her turn to the end of her turn?
-150 points
Solve... -5 + 8 - (-13)
16
-8 x -5 / 4
10
-13.25 + 5.63
-7.62
Solve the following... -56.72 x 0.13
-7.3736
Jill and Tony play a board game in which they move counters along a board. Jill moves her counter back 3 spaces four times, and then moves her counter forward 6 spaces. Tony moves his counter back 2 spaces three times, and then moves his player forward 3 spaces one time. Find each player's overall change in position. Who moved farther?
Jill moved more spaces than Tony.
-15 - 15 - (-30)
0
-114 x 15
-1710
(-3/8) + (-5/6)
-29/24
82.4 / -2 x -3.5
144.2
A diver went 25.65 feet below the surface of the ocean, and then 16.5 feet further down, he then rose 12.45 feet. Write and solve an expression to find the diver's new depth.
-25.65 - 16.5 + 12.45 = -29.7
6 + (-45) - 13 + (-23) - 62
-137
-21575 / 15
-1437
-13.7 + 5.85 - (-24.8)
16.95
(-5/8) x (-3/7) / (-2/11)
-165/112
The running back for the Bulldogs football team team carried the ball 9 times for a total loss of 15.75 yards. Find the average change in field position on each run.
-1.75 yards