put into scientific notation (3.7x10^4)(8.1x10^-7
= 29.97 x 10^-3
= 3.0 x 10 ^-2
( you only had 2 significant figures in your numbers)
(2.2x10^4)(5.1x10^7)
make sure your answer is in scientificnatation
To multiply two numbers in scientific notation, you need to multiply their coefficients and add their exponents.
Given: (3.7x10^4)(8.1x10^-7)
Step 1: Multiply the coefficients 3.7 and 8.1:
3.7 x 8.1 = 29.97
Step 2: Add the exponents 4 and -7:
10^(4 + -7) = 10^-3
Putting it all together:
(3.7x10^4)(8.1x10^-7) = 29.97 x 10^-3
Therefore, the result is 29.97x10^-3 in scientific notation.
To multiply numbers written in scientific notation, you can multiply the coefficients (the numbers at the front) and add the exponents. Let's go step by step.
First, multiply the coefficients:
3.7 x 8.1 = 29.97
Next, add the exponents:
10^4 x 10^-7 = 10^(4 - 7) = 10^-3
Now we have the result of the multiplication: 29.97 x 10^-3.
To express this in scientific notation, we need to adjust the coefficient so that it is between 1 and 10. We can do this by dividing the coefficient by 10 and multiplying the exponent by 10.
Divide the coefficient:
29.97 ÷ 10 = 2.997
Multiply the exponent:
10^-3 x 10 = 10^-2
Now we can write the final answer in scientific notation:
2.997 x 10^-2