An insect is on the 0 point of a number line, hopping towards 1. She covers the distance from her current location to 1 with each hop. So, she will be at after one hop, after two hops, and so on.

a. Make a table showing the insect’s location for the first 10 hops.

b. Where will the insect be after n hops?

c. Will the insect ever get to 1? Explain.

Planet A is at a distance of 9.35 × 10⁶ km from Earth and planet B is 6.27 × 107 km from Earth. Which planet is nearer to Earth?

The cells of a bacteria double itself every hour. How many cells will there be after 8 hours, if initially we start with 1 cell. Express the answer in powers.

Predicting the ones digit, copy and complete this table and answer the questions that follow.

Powers Table

A. Describe patterns you see in the ones digits of the powers.

B. Predict the ones digit in the following:

1. 4¹²

2. 9²⁰

3. 3¹⁷

4. 5¹⁰⁰

5. 10⁵⁰⁰

C. Predict the ones digit in the following:

1. 31¹⁰

2. 12¹⁰

3. 17²¹

4. 29¹⁰

Astronomy The table shows the mass of the planets, the sun and the moon in our solar system.

A. Write the mass of each planet and the Moon in scientific notation.

B. Order the planets and the moon by mass, from least to greatest.

C. Which planet has about the same mass as earth?