Question

(3.3 x
10-4) x (8.0 x 10^0)= ?

Answer 1

264 x^2 - 32 x

Step-by-step explanation:

Expand the following:

x 8×10^0 (3.3×10 x - 4)

3.3×10 = 33:

8×10^0 x (33 x - 4)

8 x (33 x - 4) = 8 x×33 x + 8 x (-4):

8×33 x x - 4×8 x

8 (-4) = -32:

8 33 x x + -32 x

8 x×33 x = 8 x^2×33:

8×33 x^2 - 32 x

8×33 = 264:

Answer: 264 x^2 - 32 x

Answer 2

The product of
`\((3.3 * 10^(-4))\)` multiplied by
`\((8.0 * 10^0)\)` equals
`\(2.64 * 10^(-3)\)`, obtained by multiplying the coefficients (3.3 and 8.0) and adding the exponents (-4 and 0) in scientific notation.

Step-by-step explanation:

To calculate the product of scientific notation numbers
`\((3.3 * 10^(-4))\) and \((8.0 * 10^0)\)`, multiply the coefficients and add the exponents.

Starting with the coefficients:
`\(3.3 * 8.0 = 26.4\)`.

Next, perform the exponent arithmetic:
`\(10^(-4) * 10^0 = 10^(-4+0) = 10^(-4)\)`.

Combine the coefficient and the exponent:
`\(26.4 * 10^(-4) = 2.64 * 10^(-3)\)`.

Therefore, the product of
`\((3.3 * 10^(-4))\)` multiplied by
`\((8.0 * 10^0)\)` simplifies to
`\(2.64 * 10^(-3)\)`. This result arises from multiplying the coefficients and adding the exponents of the scientific notation, reflecting the calculation of significant figures while keeping the answer in scientific notation format.