Solve each problem and write your answers in scientific notation.
1. (6.0 x 105) x (3.0 x 104) = (1 point)
18 x 1020
18 x 109
1.8 x 1020
1.8 x 1010
2. (5 x 10–2) ÷ (2 x 103) = (1 point)
2.5 x 10-5
2.5 x 10-1
25 x 101
25 x 102
3. (2.56 x 106) x (3.56 x 102) = (1 point)
9.1136 x 1012
91.136 x 108
9.1136 x 108
91.136 x 1012
4. In a recent year, the population of California was about 2.52 x 107 people. Its land area is about 4.05 x 105 km2. What was the average number of people per square kilometer? (1 point)
0.62 x 105
6.2 x 101
0.62 x 1014
6.2 x 109
Online "^" is used to indicate an exponent, e.g., x^2 = x squared.
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
When multiplying/dividing, the exponents are added/subtracted respectively.
PLEASEEE im on these answers too plz somone help !
To solve each problem and write the answers in scientific notation, we can follow the following steps:
1. For the first problem:
- Multiply the two numbers given: (6.0 x 10^5) x (3.0 x 10^4)
- Multiply the coefficients: 6.0 x 3.0 = 18.0
- Add the exponents: 10^5 x 10^4 = 10^(5+4) = 10^9
- Write the answer in scientific notation: 18.0 x 10^9
So, the answer to the first problem is 18 x 10^9 (Option B).
2. For the second problem:
- Divide the two numbers given: (5 x 10^-2) ÷ (2 x 10^3)
- Divide the coefficients: 5 ÷ 2 = 2.5
- Subtract the exponent in the denominator from the exponent in the numerator: 10^-2 ÷ 10^3 = 10^(-2-3) = 10^-5
- Write the answer in scientific notation: 2.5 x 10^-5
So, the answer to the second problem is 2.5 x 10^-5 (Option A).
3. For the third problem:
- Multiply the two numbers given: (2.56 x 10^6) x (3.56 x 10^2)
- Multiply the coefficients: 2.56 x 3.56 = 9.1136
- Add the exponents: 10^6 x 10^2 = 10^(6+2) = 10^8
- Write the answer in scientific notation: 9.1136 x 10^8
So, the answer to the third problem is 9.1136 x 10^8 (Option B).
4. For the fourth problem:
- Divide the two numbers given: (2.52 x 10^7) ÷ (4.05 x 10^5)
- Divide the coefficients: 2.52 ÷ 4.05 = 0.62
- Subtract the exponent in the denominator from the exponent in the numerator: 10^7 ÷ 10^5 = 10^(7-5) = 10^2
- Write the answer in scientific notation: 0.62 x 10^2
So, the answer to the fourth problem is 0.62 x 10^2 (Option A).