Question

the mass of the earth is 5.97×
10^24 kg and the mass of the moon is 7.35 × 10^22 kg . What is the sum of the masses of the earth and moon

Answer 1

Hey

Here is your answer,

To add two numbers with different powers of ten we have to use the LARD rule: LEFT ADD RIGHT DEDUCT. When moving the decimal to the LEFT you ADD to the power of ten. When going to the RIGHT you DEDUCT from the power of ten.

Let us rewrite 7.35 * 10^22 to bring the same powers of ten.

Using the LARD rule we move the decimal two places LEFT and ADD two to the power: 0.0735 x 10^24.

Let us add them,

= 5.97 x 10^24 + .0735 x 10^24

= 6.0435 x 10^24 kg.

Hope it helps you!