What is a rational number
any number that can be written as a ratio
complete the sentences
1. A positive number divided or multiplied by a positive number equals a__________
2. A positive number divided or multiplied by a negative number equals a__________
3. A negative number divided or multiplied by a positive number equals a__________
4. A negative number divided or multiplied by a negative number equals a ________
1. positive
2. negative
3. negative
4. positive
Solve the expression below(without a calculator):
1. 10 + (-43)
2. 14 - 27
3. 12+ (-17.80)
1. -33
2. -16
3. -5.80
What is the decimal equivalent of 9/100
0.009
Roman owns 1800 acres of farmland. He wants to split the land into sixths and sell off each of the parcels. How many acres will be in each parcel of land?
300 acres will be in each parcels
What is a integer
a positive number, a negative number, or zero but not a fraction or decimal
Fill in the blank
Any subtraction can be changed to addition by adding the ________ (in sign) of the number being subtracted. The strategy is ______________
Any subtraction can be changed to addition by adding the opposite (in sign) of the number being subtracted. The strategy is Keep, Change, Change (KCC)
Solve the problems:
1. 3-8
2. 0-53
3. (-7) -(-7)
4. 18.77-(-26.44)
1. -5
2. -53
3. 0
4. 45.21
Solve the expression
(-1/4) x (-3/7) x (-4/6)
1/14
Jahleel is a swimmer. He swims 100 feet in 6.5 minutes. What is her speed rate.
What is absolute value
The distance of a number to its origin on a number line |n|
Fill in the blank
1. when dividing fractions the strategy we use is __________
2. When multiplying fractions we multiply _____________
1. Keep, Change, Flip (KCF)
2. Straight across, across
At dawn, a thermometer read 12 degrees Fahrenheit. As the day progressed, the temperature dropped 22 degrees. After this drop, how many degrees must the temperature change to reach 0 degrees?
10 degrees Fahrenheit
(-8/9) ÷ (-2/3) x (-4 1/2)
-6
Adrian was using a recipe for a large desert that required 1/3 cup of sugar. Instead of making 1 large desert, Adrian wants to make 5 small deserts. How much sugar should she use for each of the 5 small deserts
1/25 cup of sugar for each small pie
What is the Additive Identity Property or give an example of additive Identity Propery
Adding the number zero to any quantity does not change the value of the quantity (it retains its identity after adding zero)
Example: a+0 = a, 5+0 = 5, 2/3 +0=2/3, -3+0=0
What are the steps to convert a mix number to an improper fraction
A scuba diver dives 24 feet below the water's surface. The diver then rises 10 feet, stops, and then dives downward another 18 feet. How far, in feet, does the diver need to rise upward to reach the water's surface?
32 feet
3 6/7 ÷2 2/9
27/20
Solve equation
-3/4 (1/2 x 1/8)
-3/64
a type of ratio that compares two quantities that have different units of measurements
Example: miles per hour, dollars per gallon, cups per recipe, calories per serving
What is distributive property or give an example
simplifying an expression by multiplying a number by each term inside the parenthesis
example: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.
Which situation results in a final value of zero?
a. The temperature after a decrease of 5 degree fahrenheit
b. The height of an airplane after taking off from ground level and rising 1,000 feet
c. The amount of money received in charge after making a $10 purchase with a $20 bill.
d. The distance above sea level after increasing 24 meters from a deoth of 24 meters below sea level
d. The distance above sea level after increasing 24 meters from a depth of 24 meters below sea level
Solve the problem:
-2.1 - _____ = -1 1/2
-0.6
A train traveled 40 Km at a constant velocity of -8 Km per hour. How far did the train travel in 5 hours.
The train traveled -40 Km in 5 hours