Write each number in scientific notation. 3,590,000

Verified step by step guidance

1. Identify the original number: 3,590,000.
2. Determine the decimal point's position in the original number. It is currently at the end (after the last zero).
3. Move the decimal point to the left until only one non-zero digit remains to the left of the decimal point. Count how many places you move it. For 3,590,000, move the decimal point 6 places to the left, so it becomes 3.59.
4. Express the number as the product of the new decimal number and 10 raised to the power of the number of places moved. This gives the form: \(3.59 \times 10^6\).
5. Write the final scientific notation as \(3.59 \times 10^6\).

Key Concepts

Scientific Notation

Scientific notation is a way to express very large or very small numbers as a product of a number between 1 and 10 and a power of 10. It simplifies calculations and makes it easier to read and compare numbers.

Place Value and Decimal Movement

Understanding place value helps determine how many places to move the decimal point to convert a number into scientific notation. For large numbers, the decimal moves left to create a number between 1 and 10.

Exponents of Ten

The exponent in scientific notation indicates how many times 10 is multiplied by itself. For large numbers, the exponent is positive and equals the number of decimal places moved to the left.