use scientific notation to divide the two numbers, express answer using scientific notation, retain at least 3 decimal place for (8.4.10^6)/(5.97.10^2)
8.4/5.97 * 10^(6-2)
1.407 * 10^4
To divide the numbers using scientific notation, we can follow these steps:
Step 1: Multiply the two numbers and divide their exponents.
8.4 x 10^6 / 5.97 x 10^2
Step 2: Perform the division of the coefficients.
8.4 / 5.97 = 1.403679
Step 3: Subtract the exponents of the denominator from the exponent of the numerator.
10^6 / 10^2 = 10^(6-2) = 10^4
Step 4: Combine the coefficient and the exponent in scientific notation.
Answer: 1.403679 x 10^4
Thus, the division of 8.4 x 10^6 by 5.97 x 10^2 in scientific notation is approximately 1.403679 x 10^4.
To divide two numbers in scientific notation, you need to follow these steps:
1. Divide the two numerical values.
8.4 / 5.97 = 1.404683
2. Subtract the exponents of the powers of 10.
6 - 2 = 4
3. Express the result from step 1 and the exponent from step 2 using scientific notation.
The result from step 1, 1.404683, in scientific notation is 1.404683 × 10^0.
The exponent from step 2, 4, indicates that we need to multiply by another power of 10.
Multiplying 1.404683 × 10^0 by 10^4 gives us 1.404683 × 10^(0+4) = 1.404683 × 10^4.
4. Finally, retain at least three decimal places.
Rounding 1.404683 to three decimal places gives us 1.405 × 10^4.
Therefore, (8.4 × 10^6) / (5.97 × 10^2) expressed in scientific notation and retaining at least three decimal places is approximately 1.405 × 10^4.