Download Expressions Involving Exponents

Expressions Involving
Exponents
Name
Chapter 4, Lesson 2A
Objective: To write and evaluate numerical expressions involving exponents
Translate and evaluate the following expression.
the sum of six and four, to the third power, times two
1 Translate the word phrase into a numerical expression
Look carefully for commas
and key words that tell you
to separate terms.
using numbers and symbols.
the sum of six and four, to the third power, times two
(6 ! 4)3
2
"
2 Evaluate. Use the Order of Operations.
(6 ! 4)3 " 2 # (10)3
"2
Simplify inside parentheses.
# (10 " 10 " 10) " 2
Simplify numbers with exponents.
# 1000
Multiply.
"2
# 2000
So, the value of the expression is 2000.
Copyright © by William H. Sadlier, Inc. All rights reserved.
Practice
Translate each word phrase into a numerical expression.
Then evaluate the expression.
1. nine to the second power
2. three to the fourth power, plus five
2
4
"
3. two times six, plus four to the
third power
!
!
4. five times two to the third power, plus
four times three to the third power
2"6!
5"
!4"
2"6!
5"
!4"
!
!
Discuss and Write
5. Write the expressions 3(4 ! 2)2 and 3 " 4 ! 22 in words.
Do they have different values? Why?
Grade 6, Lesson 4-2A
5106-6_WB06_209 209
209
2/12/13 1:12 PM
Expressions Involving
Exponents
Name
Chapter 4, Lesson 2A
Practice
Translate each word phrase into a numerical expression.
Then evaluate the expression.
6. four times five to the second power
$
7. two to the fourth power, minus three to
the second power
2
4
$
!
2
!
9. five to the third power, minus the square
of the difference of ten and two
$
!
!
$
!
!
Evaluate each expression.
10. 53 ! 102 "
11. 25 # 18 "
12. 4 $ 32 # (5 ! 3)5 "
13. 2(3 # 1)3 ! 62 "
14. 63 ! 24 "
15. 34 ! (7 $ 3) "
Problem Solving
Write and evaluate an expression to solve the problem.
17. Jill has 4 baseball cards. Ryan has 3
16. A club starts with five members. The
more cards than Jill. Josh has twice
number of members doubles every month.
as many cards as Ryan. How many
How many members does the club have
baseball cards do they have altogether?
after 3 months?
What’s the Error?
18. Betty evaluated an expression as shown. Her
teacher said that her answer is not correct. What
error did Betty make? What is the correct value
of the expression?
Copyright © by William H. Sadlier, Inc. All rights reserved.
8. two times four squared, minus two to the
fifth power
62 # (9 ! 2)3
36 # (9 ! 8)
36 # 1
37
210
Grade 6, Lesson 4-2A
5106-6_WB06_210 210
For additional Practice, go to page 269 in this Workbook.
Then go to Lesson 4-3, pages 126–127 in the Student Book.
2/12/13 1:12 PM