Download Place Value and Powers of Ten

Name
Homework
1.2
Date
Place Value and Powers of Ten
You can use exponents to write very large and very small numbers as 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 powers of 10 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.
59,000,000
3.
48.002
4.
0.00038
Write each number in standard form.
5.
(6 ⫻ 103) ⫹ (8 ⫻ 100)
6.
(5 ⫻ 10⫺3) ⫹ (2 ⫻ 10⫺5)
7.
(7 ⫻ 105) ⫹ (9 ⫻ 102) ⫹ (4 ⫻ 10⫺2)
8.
(6 ⫻ 10⫺2) ⫹ (8 ⫻ 10⫺3) ⫹ (1 ⫻ 10⫺4)
Algebra • Patterns Find a pattern in each sequence of numbers. Use your pattern to find
the two missing terms.
9.
101, 103, 105, ______, ______, 1011
10.
2⫺1, 4⫺3, 6⫺5, ______, ______, 12⫺11
Problem Solving
Show Your Work
11.
A baby’s bottle contains 4.309 ounces of
milk. Write this number in expanded form,
using powers of 10.
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Use with text pages 6–7.