Write the expression using scientific notation.
(2.5 • 104)(4 • 103)
A. 10 • 107
B. 10 • 108
C. 1 • 108
D. 10 • 1012
To write the expression using scientific notation, we first multiply the coefficients (2.5 * 4 = 10). Then we add the exponents of the powers of 10 (10^4 * 10^3 = 10^(4+3) = 10^7). Therefore, the expression in scientific notation is:
10 • 10^7
Which simplifies to:
1 • 10^8
Therefore, the answer is option C. 1 • 108.
To write the expression using scientific notation, we need to first convert each number to scientific notation, then multiply the numbers together and simplify if needed.
The number 2.5 • 10^4 can be expressed in scientific notation by moving the decimal point 4 places to the right, which gives us 25,000 or 2.5 • 10^4.
The number 4 • 10^3 can be expressed in scientific notation by moving the decimal point 3 places to the right, which gives us 4,000 or 4 • 10^3.
Now, we can multiply the numbers together:
(2.5 • 10^4)(4 • 10^3) = (2.5 • 4) • (10^4 • 10^3) = 10 • 10^7 = 10^8
Therefore, the expression (2.5 • 10^4)(4 • 10^3) in scientific notation is 10^8.
The correct answer is C. 1 • 10^8.
To write the expression (2.5 • 104)(4 • 103) in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.
(2.5 • 104)(4 • 103) = (2.5 • 4) • (104 • 103)
= 10 • 107
Therefore, the expression can be written in scientific notation as 10 • 107.
So, the correct answer is A. 10 • 107.