Integer Operations, Absolute Value
4x5-89
-69 (-89+20=-69)
You have a 2 x 2 square. What is the scale factor of the square if the units change to 4x4.
2 (2 times 2 is four, and both the numerator and the denominator are the same, so it is 4/4, so the scale factor is 2)
What is the Unit Rate of 12 kilometers a minute?
12
What is a Rational Number?
A number that can be written as a fraction where the numerator and denominator are whole numbers
What is the commutative property of addition? Give one example.
The way that you can turn addition around and the rule that a+b=b+a example: 2+3=3+2
Absolute value of -289+40
249 (289-40)
Scale an 8x6 rectangle down by 2
4x3 (8/2=4 and 6/2=3 so 4/3)
I travel 300 km in 5 hours. what is the unit rate of km/hour
60
Name an irrational number
pie, i, e, square root of 2, the golden ratio
What is the associative property of multiplication?
The ability to group the numbers in a multiplication problem anyway.
Example: ax(bxc) = (axb)xc
or
1x(2x3) = (1x2)x3
The absolute value of 17x-4
68 (17 x 4 because its absolute value)
What is the constant of proportionality in this graph?Cookies Time (minutes)
3 9
4.5 13.5
7 21
9.5 28.5
3 (Divide 9 by 3, and 7 by 21, you get 3.)
What is the unit rate of 765 miles / 5 hour
153
Name the 5 kinds of numbers
natural, whole, integers, rational, real
What is the additive property?
When a number is added to another number but doesn't change the value.
Example:
9 + -9
10 + 0
3.5 + -3.5
48+8x7
105 (48 + 56 =105)
There is a 28 by 16 inch photograph. Danny wants to print it out so it is three and a half times the size. What is the final size?
The picture is 98 by 56 inches. (28 x 3.5 = 98 and 16 x 3.5 = 56)
an international phone call costs 10 dollars for 4 minutes. what is the unit rate of dollars a minute?
2.5
Is 3 irrational?
What is the distributive property of multiplication?
How a multiplication problem can be split up.
Example:
7x4= (5x4) + (2x4)
Absolute Value of (188/4 + 43) x 2 x 0
0 (Anything times 0 = 0)
Jolie sees a mountain that is 5,000 feet tall. It looks to her that 1250 feet tall. Every mile away she is from the mountain, the mountain looks 625 feet smaller. How far is Jolie from the mountain?
6 miles. (One strategy for doing this problem is to do 5000/625 so you can get how many miles until the mountain goes away(8). Then you subtract miles 625 until you get 1250.
Which moves faster?
Object a, which moves 15 cm every 5 seconds
or
Object b, which moves 24 centimeters every 8 seconds
same speed. 3/1
The square root of a prime number will be...
irrational
What are the 4 properties of multiplication?
Commutative, Associative, Multiplicative Identity, and Distributive Properties.