What is 5.5•10^4 multiplied by 2.2•10^-8. Write in scientific notation.
The calculation is:
(5.5 • 10^4) * (2.2 • 10^-8)
To multiply numbers written in scientific notation, we multiply the coefficients and add the exponents. The result is:
(5.5 * 2.2) • (10^4 * 10^-8) = 12.1 • 10^-4 = 1.21 • 10^-3
Therefore, the answer in scientific notation is 1.21 • 10^-3.
To multiply numbers written in scientific notation, you need to multiply the two numerical parts and add the exponents.
Given:
5.5 x 10^4
2.2 x 10^-8
Step 1: Multiply the two numerical parts: 5.5 x 2.2 = 12.1
Step 2: Add the exponents: 10^4 x 10^-8 = 10^(4 - 8) = 10^-4
Combining the numerical part and the exponent, the result is:
12.1 x 10^-4
So, 5.5 x 10^4 multiplied by 2.2 x 10^-8 in scientific notation is 12.1 x 10^-4.
To multiply numbers in scientific notation, you need to multiply their coefficients (the numbers before the multiplication sign) and add their exponents (the numbers after the multiplication sign).
Let's calculate it step by step:
Step 1: Multiply the coefficients: 5.5 * 2.2 = 12.1
Step 2: Add the exponents: 4 + (-8) = -4
Now we have the result, 12.1, and the exponent, -4. To write it in scientific notation, we need to express the coefficient as a number between 1 and 10 by moving the decimal point and adjust the exponent accordingly.
Since 12.1 is already between 10 and 100, we don't need to move the decimal point. Therefore, the result in scientific notation is:
1.21 x 10^-3