what is the product of 1.0x10^3 and 2.0x10^5 in scientific notation

3 answers

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.
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