Problem

Express the following number in scientific notation. \[ 140 \] \[ 140= \] (Type your answer in scientific notation, using the appropriate symbol from the math palette for any multiplication.)

Solution

Step 1 :Express the number 140 in scientific notation. In scientific notation, a number is written as the product of two numbers: a coefficient and 10 raised to a power. The coefficient is always between 1 and 10, and the power of 10 tells you how many places to move the decimal point.

Step 2 :First, write the number 140 as a decimal: 140.0.

Step 3 :Next, move the decimal point two places to the left to get the coefficient. This gives us 1.40.

Step 4 :The power of 10 is equal to the number of places we moved the decimal point. Since we moved the decimal point two places to the left, the power of 10 is 2.

Step 5 :So, 140 in scientific notation is \(1.40 \times 10^2\).

Step 6 :However, we can simplify the coefficient to 1.4, because 1.40 and 1.4 are the same number.

Step 7 :Therefore, the final answer is \(1.4 \times 10^2\).

From Solvely APP
Source: https://solvelyapp.com/problems/18070/

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