(4*10^8) (8.2*10^-2) i need it simplified and in scientific notation. i believe the answer is 3.28*10^7 but im unsure
Your answer is correct.
4 ∙ 10⁸ ∙ 8.2 ∙ 10⁻² = 4 ∙ 8.2 ∙ 10⁸ ∙ 10⁻² = 32.8 ∙ 10⁸⁻² =
3.28 ∙ 10 ∙ 10⁶= 3.28 ∙ 10¹ ∙ 10⁶= 3.28 ∙ 10¹⁺⁶= 3.28 ∙ 10⁷
To simplify the expression (4*10^8) * (8.2*10^-2) and express it in scientific notation, we can apply the rules of multiplying numbers written in scientific notation:
Step 1: Multiply the coefficients (the numbers in front of the powers of 10).
4 * 8.2 = 32.8
Step 2: Add the exponents (the powers of 10).
8 + (-2) = 6
Step 3: Rewrite the result from Step 1 in scientific notation by moving the decimal point to the appropriate location.
32.8 = 3.28 * 10
Step 4: Write the final answer in scientific notation.
3.28 * 10^6
So, the simplified form of the expression (4*10^8) * (8.2*10^-2) is 3.28 * 10^6.