How do you write 5.1 × 10^3 in standard form? _____

Move Decimal Three Places: To write the number 5.1 × 10^3 in standard form, we need to move the decimal point in 5.1 three places to the right, because the exponent on 10 is 3. This is because 10^3 means 10 multiplied by itself 3 times, which is 1000. Multiplying 5.1 by 1000 will shift the decimal point three places to the right.Result of Decimal Movement: Moving the decimal point three places to the right in 5.1 gives us 5100. This is because moving the decimal point to the right makes the number larger in accordance with the power of 10 it is being multiplied by.Final Standard Form: Therefore, 5.1 × 10^3 written in standard form is 5100. We have successfully moved the decimal point three places to the right without altering the value of the number, just its form.

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How do you write $5.1 \times 10^3$ in standard form?

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Q. How do you write

5.1 \times 10^3

in standard form?

Move Decimal Three Places: To write the number $5.1 \times 10^3$ in standard form, we need to move the decimal point in $5.1$ three places to the right, because the exponent on $10$ is $3$ . This is because $10^3$ means $10$ multiplied by itself $3$ times, which is $1000$ . Multiplying $5.1$ by $1000$ will shift the decimal point three places to the right.
Result of Decimal Movement: Moving the decimal point three places to the right in $5.1$ gives us $5100$ . This is because moving the decimal point to the right makes the number larger in accordance with the power of $10$ it is being multiplied by.
Final Standard Form: Therefore, $5.1 \times 10^3$ written in standard form is $5100$ . We have successfully moved the decimal point three places to the right without altering the value of the number, just its form.