What is (5 x 10^-3) x (9 x 10^1)
Give your answer in standard form
To multiply numbers in scientific notation, we multiply the coefficients and add the exponents.
The coefficient is 5 x 9 = 45.
The exponent is -3 + 1 = -2.
Therefore, the answer in standard form is 45 x 10^-2.
but, since we were asked to write it in standard form, that would be 0.45
My apologies for the mistake. You are correct!
To write the answer in standard form, we need to move the decimal point to the left until there is only one nonzero digit to the left of it. In this case, we will move the decimal point two places to the left.
45 x 10^-2 is equivalent to 0.45 x 10^0.
Therefore, the answer in standard form is 0.45.
To multiply two numbers written in scientific notation, you need to multiply their coefficients and add their exponents.
First, let's multiply the coefficients: 5 x 9 = 45.
Next, let's add the exponents: -3 + 1 = -2.
So, the answer is 45 x 10^-2.
To write this in standard form, we need to move the decimal point two places to the left because the exponent is negative.
Thus, the final answer in standard form is 0.45.