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.

The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after

a. 12 hours

b. 24 hours?

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?

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.

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