Simplify the expression 131,000x0.0003 using scientific notation and express the answer in scientific notation.
start by expressing each factor in scientific notation:
1.31x10^5
3x10^-4
Now just multiply as usual.
To simplify the expression 131,000 x 0.0003 using scientific notation, we can express both numbers in scientific notation and then multiply the coefficients and add the exponents.
131,000 can be written as 1.31 x 10^5
0.0003 can be written as 3 x 10^-4
To multiply these numbers, multiply the coefficients and add the exponents:
(1.31 x 10^5) x (3 x 10^-4) = (1.31 x 3) x (10^5 x 10^-4) = 3.93 x 10^1 = 39.3
Therefore, the simplified expression in scientific notation is 39.3
To simplify the expression 131,000 × 0.0003 using scientific notation, we can follow these steps:
1. Multiply the two numbers: 131,000 × 0.0003 = 39.3
2. Count the number of decimal places in the original expression: 0.0003 has four decimal places.
3. In scientific notation, the product should be written as a number between 1 and 10, multiplied by a power of 10. In this case, 39.3 can be written as 3.93 × 10^1.
4. Since we multiplied by 10 once to get from 39.3 to 3.93, we need to multiply the power of 10 by 10 as well. The original expression had four decimal places, so we need to multiply the power by 10 four times, resulting in 10^(-4).
5. Combining the results from steps 3 and 4, the simplified expression in scientific notation is 3.93 × 10^(1-4) = 3.93 × 10^(-3).