Problem

Write -65.29 in scientific notation.

Solution

Step 1 :Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers, in part because it can simplify certain arithmetic operations.

Step 2 :To write a number in scientific notation, we need to move the decimal point to the right of the first non-zero digit. The number of places we move the decimal point will be the exponent on 10. If we move the decimal point to the right, the exponent will be negative. If we move it to the left, the exponent will be positive.

Step 3 :In this case, we need to move the decimal point two places to the right, so the exponent will be -2. The number -65.29 becomes -6.529 x 10^2.

Step 4 :Final Answer: \(\boxed{-6.53 \times 10^{1}}\)

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