The problem asks us to convert two numbers from scientific notation to standard form: 1. $2.0057 \times 10^8$

ArithmeticScientific NotationDecimal OperationsExponents
2025/4/4

1. Problem Description

The problem asks us to convert two numbers from scientific notation to standard form:

1. $2.0057 \times 10^8$

2. $3.402 \times 10^{-5}$

2. Solution Steps

For the first number, 2.0057×1082.0057 \times 10^8, we need to multiply 2.00572.0057 by 10810^8, which means moving the decimal point 8 places to the right.
2.0057×108=2005700002.0057 \times 10^8 = 200570000
For the second number, 3.402×1053.402 \times 10^{-5}, we need to multiply 3.4023.402 by 10510^{-5}, which means moving the decimal point 5 places to the left.
3.402×105=0.000034023.402 \times 10^{-5} = 0.00003402

3. Final Answer

1. $2.0057 \times 10^8 = 200,570,000$

2. $3.402 \times 10^{-5} = 0.00003402$

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