what is the product of 1.0x10^3 and 2.0x10^5 in scientific notation
To multiply numbers in scientific notation, you need to multiply the coefficients and add the exponents.
The coefficient for 1.0x10^3 is 1.0, and the coefficient for 2.0x10^5 is 2.0.
The product of the coefficients is 1.0 * 2.0 = 2.0.
The exponent for 1.0x10^3 is 3, and the exponent for 2.0x10^5 is 5.
The sum of the exponents is 3 + 5 = 8.
Therefore, the product of 1.0x10^3 and 2.0x10^5 in scientific notation is 2.0x10^8.
what is the quotient of 4.644 x 10^8 and 6.45 x 10^3 expressed in scientific notation?
To divide numbers in scientific notation, you need to divide the coefficients and subtract the exponents.
The coefficient for 4.644 x 10^8 is 4.644, and the coefficient for 6.45 x 10^3 is 6.45.
The quotient of the coefficients is 4.644 / 6.45 = 0.718139.
The exponent for 4.644 x 10^8 is 8, and the exponent for 6.45 x 10^3 is 3.
The difference of the exponents is 8 - 3 = 5.
Therefore, the quotient of 4.644 x 10^8 and 6.45 x 10^3 in scientific notation is 0.718139 x 10^5.
To find the product of two numbers in scientific notation, you can multiply the coefficients and add the exponents.
Given:
1.0 x 10^3
2.0 x 10^5
First, multiply the coefficients:
1.0 x 2.0 = 2.0
Next, add the exponents:
10^3 + 10^5 = 10^(3+5) = 10^8
Combining the coefficient and the exponent, the product is:
2.0 x 10^8 in scientific notation.
To find the product of two numbers in scientific notation, you can simply multiply the coefficients (the numbers in front) and add the exponents (the powers of 10).
In this case, 1.0 x 10^3 multiplied by 2.0 x 10^5 can be calculated as:
(1.0 x 2.0) x (10^3 x 10^5)
The coefficients of 1.0 and 2.0 multiply to give 2.0. The exponents 3 and 5 add up to give 8. Therefore, the product is:
2.0 x 10^8
So, the product of 1.0 x 10^3 and 2.0 x 10^5 in scientific notation is 2.0 x 10^8.