(1.7x10^4) X (8.5x10^-2) In Standard Form

Jasonbradley

2 min read

·

Jun 16, 2024

41

Share

Multiplying Numbers in Scientific Notation: A Step-by-Step Guide

Scientific notation is a way to express very large or very small numbers concisely. Let's explore how to multiply numbers in scientific notation, specifically: (1.7 x 10⁴) x (8.5 x 10^-2)

Step 1: Multiply the Coefficients

First, multiply the coefficients, which are the numbers in front of the powers of ten.

• 1.7 x 8.5 = 14.45

Step 2: Multiply the Powers of Ten

Next, multiply the powers of ten by adding their exponents.

• 10⁴ x 10^-2 = 10^{(4 + (-2))} = 10²

Step 3: Combine the Results

Combine the results of step 1 and step 2 to get the final answer in scientific notation.

• 14.45 x 10²

Step 4: Adjust for Standard Form

To express the answer in standard form, we need to ensure the coefficient is between 1 and 10. Move the decimal point one place to the left and increase the exponent by one.

• 1.445 x 10³

Therefore, the product of (1.7 x 10⁴) x (8.5 x 10^-2) in standard form is 1.445 x 10³.