Solve 4.68×109÷9.6×106
. Enter your answer in scientific notation.(1 point)
4.68x10^109 ÷ 9.6x10^6
= (4.68/9.6) x 10^(109-6)
= 0.4875 x 10^103
Therefore, the answer in scientific notation is 4.875x10^102.
To solve this expression, we can first divide the numbers and then express the result in scientific notation.
First, divide 4.68 × 10^9 by 9.6 × 10^6:
(4.68 × 10^9) / (9.6 × 10^6) = (4.68/9.6) × (10^9/10^6)
Simplifying the numerical division and subtracting the exponents:
0.4875 × 10^(9-6) = 0.4875 × 10^3
The result in scientific notation is 4.875 × 10^2.
To solve this problem and express the answer in scientific notation, you need to divide the numbers and then convert the result into the desired format.
Step 1: Divide the numbers:
4.68 × 10^9 ÷ 9.6 × 10^6
To divide the numbers, you divide the coefficients (4.68 ÷ 9.6) and subtract the exponents (10^9 ÷ 10^6):
= (4.68 ÷ 9.6) × (10^9 ÷ 10^6)
= 0.4875 × 10^(9-6)
= 0.4875 × 10^3
Step 2: Simplify the coefficient:
0.4875 can be written as 4.875 × 10^(-1) (since 0.4875 is less than 1, its coefficient is less than 1 as well, so we use a negative exponent).
Therefore, the final answer in scientific notation is:
4.875 × 10^(-1) × 10^3
We can simplify it further by adding the exponents:
4.875 × 10^(-1+3)
= 4.875 × 10^2
So, the final answer in scientific notation is 4.875 × 10^2.