Using symbols to compare numbers.
Here are some numbers. Use inequality symbols (<, =, >) to write true comparison statements. To use the applet to access inequality symbols, here are the steps below;
(1.) Select two numbers and one comparison symbol and use them to write a true statement.
(2.) Write a sentence in words with the same meaning, using the following phrases: For example, you could write 4 < 8 and also write, “4 is less than 8.”
(i.) is equal to
(ii.) is the absolute value of
(iii.) is greater than
(iv.) is less than
Plot Rational Numbers on a Number Line.
“a” is a rational number.
(1.) Based on where you plotted a, plot -a on the same number line. What is the value of -a that you plotted?
(2.) Noah said, “If a is a rational number, -a will always be a negative number.” Do you agree with Noah? Explain your reasoning.
A submarine is at an elevation of -100 feet (100 feet below sea level). Let’s compare the elevations of these four people to that of the submarine:
Complete the table as follows.
As an example, the first row has been filled with a possible elevation for Clare.
Priya says her elevation is less than the submarine’s and she is closer to sea level. Is this possible? Explain your reasoning.
Make Truth Statements by Comparing Numbers.
For each question, choose a value for each variable to make the whole statement true. (When the word “and” is used in math, both parts have to be true for the whole statement to be true.)
(1.) Is the statement true if one variable is negative and one is positive?
(2.) Is the statement true if both values are negative?
(3.) Is the statement true if one variable is negative and one is positive?
(4.) Is the statement true if both values are negative?
(5.) Is the statement true if one variable is negative and one is positive?
(6.) Is the statement true if both values are negative?
(7.) Is the statement true if one variable is negative and one is positive?
(8.) Is the statement true if both values are negative?
Mai received and spent money in the following ways last month. For each example, write a signed number to represent the change in money from her perspective.
(1.) Her grandmother gave her $25 in a birthday card.
(2.) She earned $14 dollars babysitting.
(3.) She spent $10 on a ticket to the concert.
(4.) She donated $3 to a local charity.
(5.) She got $2 interest on money that was in her savings account.
Match the the statements written in English with the mathematical statements.