The problem asks us to convert numbers from scientific notation to standard form. We are given three problems: a) $8.1 \times 10^8$ b) $5 \times 10^7$ c) $6 \times 10^0$

ArithmeticScientific NotationNumber ConversionExponents
2025/4/7

1. Problem Description

The problem asks us to convert numbers from scientific notation to standard form. We are given three problems:
a) 8.1×1088.1 \times 10^8
b) 5×1075 \times 10^7
c) 6×1006 \times 10^0

2. Solution Steps

a) 8.1×1088.1 \times 10^8
To convert 8.1×1088.1 \times 10^8 to standard form, we multiply 8.1 by 10810^8, which is 100,000,
0
0

0. $8.1 \times 10^8 = 8.1 \times 100,000,000 = 810,000,000$.

b) 5×1075 \times 10^7
To convert 5×1075 \times 10^7 to standard form, we multiply 5 by 10710^7, which is 10,000,
0
0

0. $5 \times 10^7 = 5 \times 10,000,000 = 50,000,000$.

c) 6×1006 \times 10^0
To convert 6×1006 \times 10^0 to standard form, we multiply 6 by 10010^0. Since any number raised to the power of 0 is 1, 100=110^0 = 1.
6×100=6×1=66 \times 10^0 = 6 \times 1 = 6.

3. Final Answer

a) 8.1×108=810,000,0008.1 \times 10^8 = 810,000,000
b) 5×107=50,000,0005 \times 10^7 = 50,000,000
c) 6×100=66 \times 10^0 = 6

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