How do you write 75 in scientific notation? _____ × 10^_____

Move Decimal Point: To write a number in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10. We do this by moving the decimal point in the number to the left until only one non-zero digit is to the left of the decimal point. The number of places we move the decimal point will be the exponent of 10. For the number 75, the decimal point is currently after the 5, as in 75.0. We need to move it two places to the left to get a number between 1 and 10.Identify Number: After moving the decimal point two places to the left, we get 7.5. This is the number between 1 and 10 that we will use in the scientific notation. Since we moved the decimal point two places, the exponent for 10 will be 2.Write in Scientific Notation: Now we can write 75 in scientific notation as 7.5 × 10^2. This is because we have the number 7.5 (which is between 1 and 10) multiplied by 10 raised to the power of 2 (which represents the two places we moved the decimal point to the left).

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Scientific notation

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Q. How do you write

75

in scientific notation?

\newline

\_\_\_\_\_ \times 10^{\_\_\_\_\_}

Move Decimal Point: To write a number in scientific notation, we need to express it as a number between $1$ and $10$ multiplied by a power of $10$ . We do this by moving the decimal point in the number to the left until only one non-zero digit is to the left of the decimal point. The number of places we move the decimal point will be the exponent of $10$ . For the number $75$ , the decimal point is currently after the $5$ , as in $75.0$ . We need to move it two places to the left to get a number between $1$ and $10$ .
Identify Number: After moving the decimal point two places to the left, we get $7.5$ . This is the number between $1$ and $10$ that we will use in the scientific notation. $\newline$ Since we moved the decimal point two places, the exponent for $10$ will be $2$ .
Write in Scientific Notation: Now we can write $75$ in scientific notation as $7.5 \times 10^2$ . This is because we have the number $7.5$ (which is between $1$ and $10$ ) multiplied by $10$ raised to the power of $2$ (which represents the two places we moved the decimal point to the left).