SAUSD CAHSEE Math Problem of the Day -- Week 11
Powers to remember
4
Day 1
0
b = b• b•b• b
b =1
3
4
1. Simplify 7 • 7
1
−1
=b
b
€
b
=1
€ b
€
Steps to multiply and divide with
€ powers. €
2 4
2. Simplify (3 )
1. Write in expanded form.
2. Simplify
Example 1: Simplify
43 • 4 2
1. Write in expanded form:
3
2
2. 4 • 4 = 4 • 4 • 4 • 4 • 4
€
Simplify:
€
Day 2
2
4
1. Evaluate 5 • 5
3.
3
2
5
4 • 4 = 4• 4 • 4• 4 • 4 =4
Example 2: Simplify
€
€
1.
m 3 ÷ m2
Write in
expanded form:
€
−6
4
2. Simplify 7 • 7
m3 m • m • m
2 =
m
m• m
€
2. Simplify
m3 m • m • m m m
= • • m = 1•1• m = m
2 =
m
m • m€ m m
€
€
Day 3
1.
2
2
Simplify 7a b • 7bc
2.
€
2 2
3
Simplify 7x z • 8xz
€
Susan Mercer, Laura Westermeier, Ed.D.
Educational Services, SAUSD
Fall, 2007
Week 11 – Student - Page 1 of 2
SAUSD CAHSEE Math Problem of the Day -- Week 11
Absolute Value is the distance between zero and Day 4
the number. The symbol for absolute value is | |.
Example: Evaluate |-7|
Using a number line find:
1.
absolute value of –9
2.
absolute value of 5
3.
absolute value of 0
1. On a number line find the distance between 0
and –7.
distance between
0 and –7 is 7
Day 5
(CAHSEE Math Released Items 31, 32, 33)
1.
If |x| = 3, what is the value of x?
A.
B.
C.
D.
2.
–3 or 0
–3 or 3
0 or 3
–9 or 9
Which number has the greatest absolute value?
A.
B.
C.
D.
3.
–17
–13
15
19
What is the absolute value of –4?
A.
B.
C.
D.
–4
–1/4
1/4
4
Susan Mercer, Laura Westermeier, Ed.D.
Educational Services, SAUSD
Fall, 2007
Week 11 – Student - Page 2 of 2