Final answer:
When multiplying in scientific notation, multiply the numbers out front and add the exponents. When dividing, divide the numbers out front and subtract the exponents.
Step-by-step explanation:
When multiplying numbers expressed in scientific notation, we multiply the values of N and add together the values of n. For example, if we have (2.3 × 104) × (4.5 × 105), we would multiply the numbers out front, which gives us 2.3 × 4.5. Then, we add the exponents, which gives us 109. So, the answer is 109 × (2.3 × 4.5) which is equal to 1.035 × 1010.
When dividing numbers expressed in scientific notation, we divide the value of N in the dividend by the value of N in the divisor, and then subtract the value of n in the divisor from the value of n in the dividend. For example, if we have (3.6 × 107) / (1.8 × 103), we would divide the numbers out front, which gives us 3.6 / 1.8. Then, we subtract the exponents, which gives us 104. So, the answer is 104 × (3.6 / 1.8) which is equal to 2 × 104.