Translating Expressions
the sum of 11 and k
11+k
25-42/22
36
5564
natural, whole, integer, rational
Name the property being shown:
12+917=917+12
communitive property of addition
9+(-4)
5
a number t divided by 3
t/3
3[(4-6)2+7]2
363
the square root of 61
irrational
Name the property being shown:
(36+27)+13=36+(27+13)
associative property of addition
-8-12
-20
3 plus the product of 2 and h
3+2h
4*11-[(61-52)/3]
32
square root of 79 - square root of 100
300
Are the expressions equal? Which properties are you using to make this determination?
p(4-4) and 0
yes; inverse property of addition and zero property of multiplication.
-37-(-42)
5
one fourth of a number n
1/4n
When s = 2 and t = 5, evaluate the expression
-4(s)2+t3/5
9
1.875, square root of 2 - square root of 3
square root of -3, square root of 2, 1.875
Is this statement true or false? Explain.
For all real numbers a and b, a-b = -b+a.
True, you can make the first expression into addition and use the communitive property.
(-5/6) / (1/2)
-5/3 or -1(2/3)
3 less than the quotient of 20 and x
20/x-3
When s = 2 and t = 5, evaluate the expression
[(3s)/(3 - 5t)]2
9/121
Marsha, Josh, and Tyler are comparing how fast they can type. Marsha types 125 words in 7.5 minutes. Josh types 65 words in 3 minutes. Tyler types 400 words in 28 minutes. Order the students according to who can type the fastest.
Josh, Marsha, Tyler
Identify the property being utilized in each step:
5+6+-5+(8*1/8)
=5+-5+6+(8*1/8)
=(5+-5)+6+(8*1/8)
=0+6+(8*1/8)
=6+(8*1/8)
=6+1
communitive property of addition
associative property of addition
inverse property of addition
identity property of addition
inverse property of multiplication
(4/9) - (2/3)
-2/9