Download Place Value and Powers of Ten

Name
Homework
1.2
Date
Place Value and Powers of Ten
You can use exponents to write powers of 10.
104 ⫽ 10 ⫻ 10 ⫻ 10 ⫻ 10 ⫽ 10,000
1
1
ᎏ
ᎏᎏ
10⫺3 ⫽ ᎏ
(10 ⫻ 10 ⫻ 10) ⫽ 1,000 ⫽ 0.001
You can use exponents to write numbers in expanded form.
57,396 ⫽ (5 ⫻ 104) ⫹ (7 ⫻ 103) ⫹ (3 ⫻ 102) ⫹ (9 ⫻ 101) ⫹ (6 ⫻ 100)
0.015 ⫽ (1 ⫻ 10⫺2) ⫹ (5 ⫻ 10⫺3)
Write each number in expanded form, using powers of 10.
1.
6,000
2.
(6 103)
3.
(5 107) (9 106)
92
4.
(9 101) (2 100)
5.
59,000,000
48.002
(3 104) (8 105)
6.
(4 101) (8 100)
(2 103)
0.00038
9.000004
(9 100) (4 106)
Write each number in standard form.
6,008
7.
(6 ⫻ 103) ⫹ (8 ⫻ 100)
9.
(7 ⫻ 105) ⫹ (9 ⫻ 102) ⫹ (4 ⫻ 10⫺2)
8.
10.
700,900.04
(5 ⫻ 10⫺3) ⫹ (2 ⫻ 10⫺5)
0.00502
(6 ⫻ 10⫺2) ⫹ (8 ⫻ 10⫺3) ⫹ (1 ⫻ 10⫺4)
0.0681
Find a pattern in each sequence of numbers. Use your pattern to find the two missing terms.
11.
101, 103, 105, ___, ___, 1011
107, 109 12.
2⫺1, 4⫺3, 6⫺5, ___, ___, 12⫺11
Problem Solving
87,
109
Show Your Work
13.
A baby’s bottle contains 4.309 ounces of
milk. Write this number in expanded form,
using powers of 10.
(4 100) (3 101) (9 103)
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Use with text pages 6–7.