Question

3.8*10 to the 9th power divided by 4*10 to the 2nd power

Answer 1

Answer:

$9.5\times 10^{6}$

Step-by-step explanation:

1. Divide the coefficients and the exponentials separately

$\dfrac{3.8 \times 10^{9}}{4 \times 10^{2}} = \dfrac{3.8}{4} \times \dfrac{10^{9}}{10^{2}}$

2. Divide the coefficients

$\dfrac{3.8}{4} = 0.95$

3. Divide the exponentials

Subtract the exponent in the denominator from the exponent in the numerator.

$\dfrac{10^{9}}{10^{2}} = 10^{(9 - 2)} = 10 ^{7}$

4. Re-join the new coefficient and the new exponential

$\dfrac{3.8 \times 10^{9}}{4 \times 10^{2}} = 0.95 \times 10^{7}$

5. Put the new number into standard form

The number before the power of 10 must be greater than or equal to one and less than 10.

Multiply the answer by 10/10.

$(0.95 \times 10^{7}) \times \dfrac{10}{10} = (0.95\times10) \times \dfrac{10^{7}}{10} = \mathbf{9.5\times 10^{6}}$