Vocab/Rules
name the numbers in this multiplication sentence:
4 x (-3) = -12
factor x factor = product
Convert to a decimal:
-15 7/10
-15.7
What is the same as 6 x (-4):
(-6) + (-6) + (-6) + (-6)
(-4) + (-4) + (-4) + (-4) + (-4) + (-4)
6 + 6 + 6 + 6
4 + 4 + 4 + 4 + 4 + 4
(-4) + (-4) + (-4) + (-4) + (-4) + (-4)
An anchor on a cruise ship lowers into the ocean at a rate of 5 2/3 feet per second. What is the change in depth of the fish trap after 18 seconds?
Distance=speed*time
Speed: -5 2/3 ft/sec
Time: 18 sec
Distance=-5 2/3*18=-102ft
Tyler used his arcade card to buy tokens for games 4 times. Each time he bought tokens, it cost him $14.25. He then added $40 onto his arcade card. What was the change in Tyler's arcade card balance as a result of these transactions?
Spent: 4 times of buying tokens: $14.25*4=$57 (negative because of spending money)
Add $40: -57+40= $-17 final card balance
name the numbers in this division sentence
117
____ = 39
3
dividend
________ = quotient
divisor
Convert to a fraction:
0.92
92/100
Simplify:23/25
-94/-3
31.3333
(bar over the first .3)
The amount of available camera storage on a camera changed from 75% to 6% after recording 18 songs at a concert. Each song used the same amount of space. What was the change in available disk space per song?
Round your answer to the nearest hundredth
Total change=end storage - beginning storage=6% - 75%=-69%
Disk space per song=total change/total number of songs=-69%/18=-3.83 %/song
The amount of Skittles in the bag decreased 4 2/3 ounces in 6 days. The amount of Skittles decreased the same amount each day. What was the change in the amount of Skittles in the bag after 8 days?
Amount decreases per day=total decrease / number of days it decreases
Amount decreases per day=-4 2/3 / 6=-14/18=-7/9 ounce/ day
Total change in 8 days=amount decrease per day * 8 days=-7/9 * 8=-56/9 (-6 2/9 or 6.2 with 2 repeating) ounces
Will the product be positive or negative? Why
2.5 x 4/15 x (-9.31)
Negative.
There is only 1 negative factor, odd number of negative factors gives a negative product
Convert to a decimal:
6/11
0.54
(repeating line over both the 5 and the 4)
3.4 x (-5 1/4)
-17.85
-17 85/100 = -17 17/20
Jenny scored a 55% on her practice test. She missed 9 questions. What was the change in Jenny’s score in percentage points for each question she got incorrect?
% of each question incorrect=Total % that is incorrect/total number of incorrect questions
Total % that is incorrect=100-55=45%
% of each question incorrect=45%/9=5 % each incorrect question
A hill Millie likes to hike has an elevation of −12.5 meters. The elevation of the spot she stops to take a break at is 3 times farther from sea level. Write an equation to represent the elevation of the break spot in meters.
3×12.5=-37.5 meters
Since the break spot is farther from sea level in the opposite direction (above sea level), the elevation of the break spot is positive 37.5 meters
Will the answer be positive or negative? why?
(-1.39) / (-0.931) x (-5/9)
Negative.
There are 3 negative factors, odd number of negative factors gives a negative product
Convert to a decimal, round to the thousandths.
-74/-7
10.571
4.2 ÷ (−3/5) × (−8.03)
56.21
56 21/100
Over 6 hours, the water in river lowered a total of 14.62 feet. It drained the same number of feet each hour. Write an equation to represent the change in the river each hour.
Will the change be a positive or negative number? Why?
Water drained per hour=total feet of water lowered/total number of hours water was drained
Water drained per hour=-14.62/6
The change will be negative, because negative divide by positive=negative
Natalie noticed that the temperature in her pool dropped to 64°F over 6 2/5 hours. The temperature decreased the same number of degrees each hour.
Write and solve an expression to find the change in temperature each hour?
Change per hour=total change/ amount of time changed
-64/ 6 2/5=-10 °F/ hour
17.6
17 6/10 = 17 3/5