9x10-9 In Standard Form

Suzhoumeite

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Aug 28, 2024

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Expressing 9 x 10^-9 in Standard Form

Standard form, also known as scientific notation, is a way of expressing numbers that are very large or very small in a more compact and convenient way. It involves writing the number as a product of a number between 1 and 10 (inclusive) and a power of 10.

Here's how to express 9 x 10^-9 in standard form:

1. Identify the coefficient: In this case, the coefficient is 9. It already falls between 1 and 10.

2. Identify the exponent: The exponent is -9.

3. Combine the coefficient and the exponent: The standard form of 9 x 10^-9 is 9 x 10^-9.

Therefore, the standard form of 9 x 10^-9 remains the same.

Why is this important?

Expressing numbers in standard form makes it easier to:

• Compare magnitudes: It's easier to compare the sizes of numbers written in standard form. For example, it's clear that 9 x 10^-9 is smaller than 2 x 10^-6.
• Perform calculations: Performing calculations with large or small numbers can be simplified by using standard form.
• Communicate scientific data: Standard form is widely used in scientific fields to represent extremely large or small quantities.

Examples of other numbers in standard form:

• 1,000,000 = 1 x 10⁶
• 0.000005 = 5 x 10^-6
• 32,000,000 = 3.2 x 10⁷
• 0.00000000000001 = 1 x 10^-14