1. Divide the following numbers using scientific notation: (4 x 102)/(1 x 103)
2. Multiply the following numbers using scientific notation: (2 x 103)(2 x 104).
3. Perform the following calculation: (1 x 102)(2 x 103)/(1 x 102)
4x10^2 / 1x10^3 = (4/1)x10^(2-3) = 4x10^-1
Do the others in like wise. Multiply/divide the numbers, and add/subtract the exponents.
Multiply. Write your answer in scientific notation.
(4×105)(2×102)
Multiply. Write your answer in scientific notation.
(6×104)(1×101)
1. To divide numbers in scientific notation, we can use the quotient rule. In this case, we have (4 x 10^2)/(1 x 10^3).
Start by dividing the coefficients: 4/1 = 4.
Then, subtract the exponents: 2 - 3 = -1.
Therefore, the result is 4 x 10^-1 or simply 0.4.
2. To multiply numbers in scientific notation, we can use the product rule. In this case, we have (2 x 10^3)(2 x 10^4).
Multiply the coefficients: 2 x 2 = 4.
Add the exponents: 3 + 4 = 7.
So, the result is 4 x 10^7.
3. To perform the given calculation, let's simplify the expression: (1 x 10^2)(2 x 10^3)/(1 x 10^2).
Multiply the coefficients: 1 x 2 = 2.
Subtract the exponents: 2 - 2 = 0.
The result is 2 x 10^0 which simplifies to 2.