In scientific notation, what is the product of 1.2 × 10^3 and 1.4 × 10^2? Express your answer to two significant figures.
Can you also explain how to do this? Thanks!
multiply the numbers and add the powers of 10. Use the commutative property of multiplication to rearrange factors as needed.
1.2*10^3 * 1.4*10^2
= 1.2*1.4 * 10^3*10^2
= 1.68 * 10^(3+2)
= 1.68 * 10^5
You have to do a final adjustment in some cases to make sure that the number is less than 10 and at least 1.0
3.5*10^3 * 8.1*10^-1
= 3.5*8.1 * 10^(3-1)
= 28.35*10^2
= 2.835*10^3
To find the product of two numbers in scientific notation, you can multiply the coefficients and add the exponents. Here are the steps:
1. Multiply the coefficients: 1.2 × 1.4 = 1.68.
2. Add the exponents: 10^3 + 10^2 = 10^5 (since 3 + 2 = 5).
3. Write the product in scientific notation: 1.68 × 10^5.
Therefore, the product of 1.2 × 10^3 and 1.4 × 10^2 is 1.68 × 10^5.
To find the product of two numbers in scientific notation, you can multiply the two decimal parts together and add the exponents.
In this case, we have 1.2 × 10^3 and 1.4 × 10^2.
First, multiply the decimal parts: 1.2 * 1.4 = 1.68.
Then, add the exponents: 10^3 * 10^2 = 10^(3+2) = 10^5.
Combining these results, we have 1.68 × 10^5.
Finally, to express the answer to two significant figures, we round the product to 1.7, giving the final answer as 1.7 × 10^5.