Question

express 6,100,000 in scientific notation.
?×10^?
enter the coefficient in the green box and the exponent in the yellow box.

Explanation:

Step1: Identify the coefficient

To express a number in scientific notation \( a \times 10^n \), where \( 1 \leq |a| < 10 \), we take the number 6,100,000 and move the decimal point to the left until there is only one non - zero digit to the left of the decimal point. For 6,100,000, moving the decimal point 6 places to the left gives us \( a = 6.1 \).

Step2: Determine the exponent

The number of places we moved the decimal point is the exponent \( n \) in the scientific notation. Since we moved the decimal point 6 places to the left, \( n=6 \).

Answer:

The coefficient (in the green box) is \( 6.1 \) and the exponent (in the yellow box) is \( 6 \). So the scientific notation of 6,100,000 is \( \boldsymbol{6.1\times10^{6}} \).