To multiply numbers in scientific notation, you multiply the coefficients (5.5 × 2.2) and add the exponents (4 + (-8)).
5.5 × 2.2 = 12.1
The exponent will be the sum of the exponents, which is -4.
Therefore, the answer in scientific notation is 12.1 × 10^-4.
What is 5.5×104 multiplied by 2.2×10−8 ? Write the answer in scientific notation.
3 answers
please explain
Apologies for the confusion. Let's go through the steps to multiply the numbers in scientific notation once again:
1. Multiply the coefficients: 5.5 × 2.2 = 12.1.
2. Multiply the powers of 10 by adding their exponents: (10^4) × (10^-8) = 10^(4 + (-8)) = 10^(-4).
To clarify further, when multiplying numbers in scientific notation, you can simply multiply the coefficients and add the exponents.
Therefore, 5.5×10^4 multiplied by 2.2×10^-8 is equal to 12.1×10^-4, which is written in scientific notation as 1.21×10^-3.
1. Multiply the coefficients: 5.5 × 2.2 = 12.1.
2. Multiply the powers of 10 by adding their exponents: (10^4) × (10^-8) = 10^(4 + (-8)) = 10^(-4).
To clarify further, when multiplying numbers in scientific notation, you can simply multiply the coefficients and add the exponents.
Therefore, 5.5×10^4 multiplied by 2.2×10^-8 is equal to 12.1×10^-4, which is written in scientific notation as 1.21×10^-3.
6 answers