(7x10^4)x(5x10^2) In scientific notation from
To express the expression (7x10^4)x(5x10^2) in scientific notation, we can multiply the coefficients (7x5) and combine the exponents (10^4 x 10^2).
The coefficient multiplication gives us 7x5 = 35.
The exponent combination gives us 10^(4+2) = 10^6.
Therefore, the expression in scientific notation is 35x10^6.
To multiply two numbers in scientific notation, you need to multiply the coefficients and add the exponents.
Let's break it down step-by-step:
Step 1: Multiply the coefficients: 7 x 5 = 35
Step 2: Add the exponents: 10^4 x 10^2 = 10^(4+2) = 10^6
Step 3: Combine the coefficient and the exponent: 35 x 10^6
Therefore, (7x10^4)x(5x10^2) = 35 x 10^6 in scientific notation.
To multiply numbers written in scientific notation, you can follow these steps:
Step 1: Multiply the coefficients (the numbers in front of 10).
In this case, the coefficients are 7 and 5, so multiply them together:
7 x 5 = 35
Step 2: Multiply the powers of 10.
In this case, the powers of 10 are 4 and 2, so add them together:
4 + 2 = 6
Step 3: Combine the coefficient and the power of 10 into scientific notation.
The result of multiplying the coefficients is 35, and the sum of the powers of 10 is 6.
So, the answer in scientific notation is:
35 x 10^6
Note: Sometimes, scientific notation is written with only one digit before the decimal point, like 3.5 x 10^7. However, since the original numbers given were 7 and 5, we can keep the coefficient as 35.