Questions: Use the References to access important values if needed for this question. Write each of the following numbers to 3 significant figures in exponential or scientific notation. Write each number with only one non-zero digit before the decimal point. 0.00618 301 34100 0.00672 Submit Answer Retry Entire Group 9 more group attempts remaining

Use the References to access important values if needed for this question. Write each of the following numbers to 3 significant figures in exponential or scientific notation. Write each number with only one non-zero digit before the decimal point. 0.00618 301 34100 0.00672 Submit Answer Retry Entire Group 9 more group attempts remaining

Transcript text: [References] Use the References to access important values if needed for this question. Write each of the following numbers to 3 significant figures in exponential or scientific notation. Write each number with only one non-zero digit before the decimal point. 0.00618 $\square$ 301 $\square$ 34100 $\square$ 0.00672 $\square$ Submit Answer Retry Entire Group 9 more group attempts remaining

Solution

Solution Steps

To convert each number to scientific notation with three significant figures, identify the first three non-zero digits and place the decimal point after the first digit. Then, count the number of places the decimal point has moved to determine the exponent of 10. If the original number is less than 1, the exponent will be negative; if it's greater than 1, the exponent will be positive.

Step 1: Convert 0.00618 to Scientific Notation

To convert $0.00618$ to scientific notation with three significant figures, identify the first three non-zero digits: 618. Place the decimal point after the first digit to get $6.18$. Count the number of places the decimal point has moved: 3 places to the right. Therefore, the scientific notation is $6.18 \times 10^{-3}$.

Step 2: Convert 301 to Scientific Notation

For $301$, the first three significant figures are 301. Place the decimal point after the first digit to get $3.01$. The decimal point has moved 2 places to the left, so the scientific notation is $3.01 \times 10^{2}$.

Step 3: Convert 34100 to Scientific Notation

For $34100$, the first three significant figures are 341. Place the decimal point after the first digit to get $3.41$. The decimal point has moved 4 places to the left, so the scientific notation is $3.41 \times 10^{4}$.

Step 4: Convert 0.00672 to Scientific Notation

To convert $0.00672$ to scientific notation with three significant figures, identify the first three non-zero digits: 672. Place the decimal point after the first digit to get $6.72$. Count the number of places the decimal point has moved: 3 places to the right. Therefore, the scientific notation is $6.72 \times 10^{-3}$.