Questions: Express 1,670,000,000 in scientific notation. 1.67 × 10^9

Solution Steps

To express a number in scientific notation, we need to rewrite it as a product of a number between 1 and 10 and a power of 10. We do this by moving the decimal point in the number to the left until only one non-zero digit remains to the left of the decimal. The number of places we move the decimal point becomes the exponent of 10.

We start with the number \(1,670,000,000\).

To express this number in scientific notation, we move the decimal point to the left until only one non-zero digit remains to the left of the decimal point. For \(1,670,000,000\), we move the decimal point 9 places to the left, resulting in \(1.67\).

The number of places we moved the decimal point becomes the exponent of 10. Since we moved the decimal 9 places, the exponent is 9.

Combine the number \(1.67\) with the power of 10 to express the original number in scientific notation: \[ 1.67 \times 10^9 \]

Final Answer