Questions: Writing Numbers in Scientific Notation Express 142 in scientific notation. [?] × 10^[?] Enter the coefficient in the green box and the exponent in the yellow box.

Solution Steps

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically written in the form:

\[ a \times 10^b \]

where \(1 \leq a < 10\) and \(b\) is an integer.

To express 142 in scientific notation, we need to rewrite it as a product of a number between 1 and 10 and a power of 10.

1. Move the decimal point in 142 to the left until only one non-zero digit remains to the left of the decimal point. This gives us 1.42.
2. Count the number of places the decimal point was moved. In this case, it was moved 2 places to the left.

Since we moved the decimal point 2 places to the left, the exponent of 10 will be 2. Therefore, 142 in scientific notation is:

\[ 1.42 \times 10^2 \]

Final Answer