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Write in standard form:

1.87 ×10^(1)

Write in standard form: $\newline$ $1.87 \times 10^{1}$

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Power property of logarithms

Full solution

Q. Write in standard form:

\newline

1.87 \times 10^{1}

Identify Standard Form: Identify the definition of standard form for a number. $\newline$ Standard form for a number is typically written as $a \times 10^n$ , where $1 \leq a < 10$ and $n$ is an integer. In this case, we need to check if $1.87$ fits the criteria for ' $a$ '.
Multiply by $10$ : Multiply $1.87$ by $10^1$ to convert it into standard form. $\newline$ Since $1.87$ is already between $1$ and $10$ , and $10^1$ is $10$ , we simply perform the multiplication: $1.87 \times 10 = 18.7$ .
Check Result: Check if the result, $18.7$ , is in standard form. $\newline$ The result $18.7$ is not in standard form because it is not between $1$ and $10$ . We need to adjust it to fit the standard form criteria.
Adjust to Standard Form: Adjust the number to fit the standard form criteria. $\newline$ To write $18.7$ in standard form, we need to move the decimal point one place to the left to make the number between $1$ and $10$ . This gives us $1.87$ , and since we moved the decimal point one place to the left, we need to increase the exponent by $1$ : $1.87 \times 10^2$ .

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