Math Rules
What happens to the value of a number as you move away from zero on the negative side?
The further you move away from zero on the negative side, the less value the number has.
Write an inequality statement for the following numbers:
1.4, 1.7, -3
-3 < 1.4 < 1.7
OR
1.7 > 1.4 > -3
The level of a lake went up 5 feet. What does zero represent?
The original level of the lake.
The absolute value of -6 and 1/2 is
6 and 1/2
Order the numbers 0, -1, -4, 1/2, and 7 from least to greatest on a number line.
-4, -1, 0, 1/2, 7
The larger the denominator of a number is...
The lower the value of the number.
Write an inequality that relates the rational numbers:
A test score of 64 is worse than a test score of 65, and a test score of 65 is worse than a test score of 67 1/2 .
64 < 65 < 67 1/2
The temperature of water in a pot went up 50 degrees celcius. What does zero represent?
The original temperature of the water.
Jeffrey owes his friend $5. How much is Jeffrey’s debt?
$5
Order the numbers 0, 1, 1/4, 1/2, 1/8 from greatest to least on a number line.
1, 1/2, 1/4, 1/8, 0
If I provide the absolute value you can identify __ integers that have that absolute value.
two
Create an inequality statement with the following numbers:
5.02, 5 1/2, 5.2
5.02 < 5.2 < 5 1/2
Ms. King spent $65 of her gift card on earrings. She now only has $25 on her gift card. What does zero represent in this situation?
The original amount of money on the gift card.
In math class, Carl and Angela are debating about integers and absolute value. Carl said two integers can have the same absolute value, and Angela said one integer can have two absolute values. Who is right? Defend your answer.
Carl is correct. Every integer only has one absolute value because it is in a specific position away from zero.
Order the numbers:
-12.20, 4.08, -1.50, -20.00, 5.50, -3.95
from greatest to least on a number line.
5.50, 4.08, -1.50, - 3.95, -12.20, -20.00
In order for a number to be an opposite it has to be:
...on the other side of zero and the same distance.
Create an inequality statement ordering the value of the following:
A deposit of $12.60, a withdraw of $12.02, a credit of 2.50
A deposit of $12.60 < a withdraw of $12.02 < a credit of 2.50
During recess Zeke builds a mound of dirt that is 830 cm high. Ms. King says he needs to even out the level of the dirt to ground. What is zero in this situation?
The ground.
Jamie told his math teacher: “Give me any absolute value, and I can tell you two numbers that have that absolute value.” Is Jamie correct? For any given absolute value, will there always be two numbers that have that absolute value?
Yes. Every rational number has the same magnitude as it's opposite.
Order the rational numbers from least to greatest:
1/2, 1/4, -1/2, 1/8, -1 1/4, -3/8, -3/4
-1 1/4, -3/4, -1/2, -3/8, 1/8, 1/4, 1/2
(You're really telling me how to turn an exponent into a multiplication sentence.)
The base tells you what number you will be multiplying, the exponent tells you how many times you will be multiplying this number.
Create an inequality statement based on the following distances:
2/5 before the bookstore, 3/5 after the bookstore, 1/10 after the bookstore, 1/10 before the bookstore
2/5 before (-2/5), 1/5 before (-1/5), 1/10 after, 3/5 after.
Ms. King tells you on your last test you improved your grade. Your last grade was an 85, what might your new grade be?
Any number greater than 85 is acceptable.
Which number has a greater magnitude:
33 dollars or −52 dollars
-52 dollars has a greater magnitude.
Order the following numbers in order from greatest to least:
0.04, -0.21, 0.2, -0.03, 0.1, -0.09, -0.14
0.2, 0.1, 0.04, -0.03, -0.09, -0.21