Question

EASY 2O POINTS

Planet A has a mass of 6 x 10 to the 26 power kilograms. Planet B has a mass of 8 x 10 to the power of 23 kilograms. Choose which planet has the larger mass. AND by how much? Write
number written in standard notation.

Answer 1

• Planet A has the larger mass
• The mass of Planet A is 750 times as large

Explanation:

You want to know the relationship between the masses of Planet A (6×10²⁶ kg) and Planet B (8×10²³ kg).

Comparison

Comparing numbers written in scientific notation can be done by first comparing exponents. The number with the larger exponent is larger. Here, the exponents are 26 (Planet A) and 23 (Planet B).

26 is larger than 23, so the mass of Planet A is larger.

Ratio

We can find how much larger Planet A is by dividing its mass by the mass of Planet B:

`(6*10^(26))/(8*10^(23))=(6)/(8)*10^(26-23)=0.75*10^3=750`

Planet A has 750 times the mass of Planet B.

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