Multiply. Write the result in scientific notation. (9 • 10^4)(8 • 10^6)
7.2 • 10^10
Multiply. Write the result in scientific notation. (9 • 10^4)(8 • 10^6)
7.2 × 10^10
Find the area of the rectangle. /content/media/666994-542012-85719-AM-1457271203.gif
To find the area of a rectangle, we need to multiply its length by its width.
In the given diagram, the length of the rectangle is 7 cm and the width is 4 cm.
Therefore, the area = length x width = 7 cm x 4 cm = 28 cm^2
Hence, the area of the rectangle is 28 square centimeters.
To multiply numbers in scientific notation, you need to multiply the coefficients (the numbers in front) and add the exponents (the powers of 10).
Let's multiply the coefficients first:
9 * 8 = 72.
Now let's add the exponents:
10^4 * 10^6 = 10^(4+6) = 10^10.
Combining these results, we have 72 * 10^10.
Finally, we can express the answer in scientific notation by moving the decimal point one position to the left and adjusting the exponent:
7.2 * 10^(10+1) = 7.2 * 10^11.
Therefore, the result of (9 • 10^4)(8 • 10^6) in scientific notation is 7.2 * 10^11.