The problem asks to convert the given numbers into scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically written in the form $a \times 10^b$, where $1 \le |a| < 10$ and $b$ is an integer.
2025/4/7
1. Problem Description
The problem asks to convert the given numbers into scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically written in the form , where and is an integer.
2. Solution Steps
Problem 1: 0.0024
Move the decimal point 3 places to the right to get 2.
4. Since we moved the decimal point to the right, the exponent of 10 will be negative. Thus we have $2.4 \times 10^{-3}$.
Problem 2: 521800
Move the decimal point 5 places to the left to get 5.
2
1
8. Since we moved the decimal point to the left, the exponent of 10 will be positive. Thus we have $5.218 \times 10^{5}$.
Problem 3: 648.321
Move the decimal point 2 places to the left to get 6.
4
8
3
2
1. Since we moved the decimal point to the left, the exponent of 10 will be positive. Thus we have $6.48321 \times 10^{2}$.
Problem 4: 0.0000003
Move the decimal point 7 places to the right to get
3. Since we moved the decimal point to the right, the exponent of 10 will be negative. Thus we have $3 \times 10^{-7}$.
Problem 5: 8379.96
Move the decimal point 3 places to the left to get 8.
3
7
9
9
6. Since we moved the decimal point to the left, the exponent of 10 will be positive. Thus we have $8.37996 \times 10^{3}$.
Problem 6: 7247773
Move the decimal point 6 places to the left to get 7.
2
4
7
7
7
3. Since we moved the decimal point to the left, the exponent of 10 will be positive. Thus we have $7.247773 \times 10^{6}$.
3. Final Answer
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