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```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