What is the product of 2.5 × 10^2 and 3.7 × 10^5 expressed in scientific notation?
The product of 2.5 × 10^2 and 3.7 × 10^5 can be found by multiplying the coefficients (2.5 and 3.7) and adding the exponents (2 and 5). The result is 9.25 × 10^7. Therefore, the product expressed in scientific notation is 9.25 × 10^7.
To find the product of two numbers expressed in scientific notation, you multiply their coefficients and add their exponents:
Step 1: Multiply the coefficients: 2.5 × 3.7 = 9.25
Step 2: Add the exponents: 2 + 5 = 7
So, the product of 2.5 × 10^2 and 3.7 × 10^5 is 9.25 × 10^7.
To find the product of 2.5 × 10^2 and 3.7 × 10^5, you can multiply the decimal parts (2.5 × 3.7) and add the exponents (10^2 + 10^5).
Step 1: Multiply the decimal parts: 2.5 × 3.7 = 9.25
Step 2: Add the exponents: 10^2 + 10^5 = 10^7
Therefore, the product of 2.5 × 10^2 and 3.7 × 10^5 expressed in scientific notation is: 9.25 × 10^7