Fraction, Decimal, and Percent Challenge
Name _______________
Show work to support each of your solutions. You may use a calculator to check.
1.
Simplify, expressing your answer as a power of 3.
27 !3 " 815
2.
Perform the operations, and simplify completely.
! 1$ ! 1$
#" 2 &% #" 3 &%
2
3
2
'2
Give your answer as a fraction or mixed number.
1
1
1
3.
Simplify:
1
4.
Solve for m.
16 !2 " 64 6 = 4 m
2
+3
4
+5
8
+7
1
16
+9
1
32
# 8 ! 10 3 &
%$ 2 ! 10 "3 ('
2
5.
Perform the operations, and write your answer in scientific notation.
6.
Complete with <, >, or = to make the statement true. Show each decimal, rounding to the
nearest thousandth.
$1.19
$1.43
_____
32 oz
48 oz
7.
Complete with <, >, or = to make the statement true. Show each decimal, rounding to the
nearest thousandth.
$12.50
15% of $74.36 _____
85%
8.
Convert 4 % to a simplified fraction _____ and to a decimal _____.
9.
If f ( n) =
10.
Simplify:
11.
Simplify:
12.
Simplify (writing your answer as a simplified fraction):
1
2
1
! 2n , find f(0) _____ , f !" #$ _____ , and f(-1) _____.
2
7
5
2$
!1
#" + &%
2
3
0
2$
!1
' # – &
"2
3%
1
3
!
2
!
2
3
!
4
4
5
!
5
6
!
0
6
7
!
7
8
!
Do your best! Rise to the challenge! Live and learn!
8
9
!
9
10
3100 – 398
3100 + 398