Lesson 10: Practice Problems

Problem 1

Find three different ways to write the number 437,000 using powers of 10.

Problem 2

For each pair of numbers below, select the number that is greater. Estimate how many times greater.

1. $17 \cdot 10^{8}$
2. $4 \cdot 10^{8}$
1. $2 \cdot 10^{6}$
2. $7.839 \cdot 10^{6}$
1. $42 \cdot 10^{7}$
2. $8.5 \cdot 10^{8}$

Problem 3

What number is represented by point $A$ ? Explain or show how you know.

A zoomed in number line where the top and bottom number lines have eleven evenly spaced tick marks. The first tick mark on the top number line is labeled 0 and the last tick mark is labeled 10 to the twelfth power. The remaining tick marks are blank. Two lines extend downward from the eighth and ninth tick marks, pointing to the first and eleveth tick marks on the second number line, representing a zoomed in portion of the first number line. Point A is located on the fifth tick mark, and the remaining tick marks are blank.

Problem 4 From Unit 6 Lesson 7

Here is a scatter plot that shows the number of points and assists by a set of hockey players. Select all the following that describe the association in the scatter plot:

A scatter plot of assists (horizontal from 0-60) and points (vertical from 0-80) with a line of best fit going up and to the right.

Linear association
Non-linear association
Positive association
Negative association
No association

Problem 5 From Unit 5 Lesson 5

Here is the graph of days and the predicted number of hours of sunlight, $h$ , on the $d$ -th day of the year.

A graph of a curve on a coordinate grid, with the origin labeled “O.” The horizontal axis has the numbers 50 through 350, in increments of 50, indicated. The vertical axis has the numbers 5 through 20, in increments of 5, indicated. The curve begins on the vertical axis at 8 and curves upward and to the right unitl reaching its maximum at the point 180 comma 18. It then curves downward and to the right, ending at the point 365 comma 8.

Is hours of sunlight a function of days of the year? Explain how you know.
For what days of the year is the number of hours of sunlight increasing? For what days of the year is the number of hours of sunlight decreasing?
Which day of the year has the greatest number of hours of sunlight?