Write in standard form: 1.87 ×10^(1)

Identify Standard Form: Identify the definition of standard form for a number. Standard form for a number is typically written as a × 10^n, where 1 ≤ 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. Since 1.87 is already between 1 and 10, and 10^1 is 10, we simply perform the multiplication: 1.87 × 10 = 18.7.Check Result: Check if the result, 18.7, is in standard form. 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. 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 × 10^2.

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

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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 $1$ : $1.87 \times 10^2$ .