IM 6.7.7 Practice: Comparing Numbers and Distance from Zero

In the context of elevation, what would [math]\mid\text{-}7\mid[/math] feet mean?

Match the the statements written in English with the mathematical statements.

The number -4 is a distance of 4 units away from 0 on the number line.

[math]\mid\text{-}63\mid>\mid4\mid[/math] [math]\mid4\mid=\mid\text{-}4\mid[/math] [math]\text{-}63<4[/math] [math]\mid\text{-}63\mid>4[/math] [math]4>\text{-}4[/math] [math]\mid\text{-}4\mid=4[/math]

The number -63 is more than 4 units away from 0 on the number line.

[math]\mid\text{-}63\mid>\mid4\mid[/math] [math]\mid\text{-}63\mid>4[/math] [math]\mid4\mid=\mid\text{-}4\mid[/math] [math]4>\text{-}4[/math] [math]\mid\text{-}4\mid=4[/math] [math]\text{-}63<4[/math]

The number 4 is greater than the number -4.

[math]\mid\text{-}63\mid>\mid4\mid[/math] [math]\mid4\mid=\mid\text{-}4\mid[/math] [math]\mid\text{-}63\mid>4[/math] [math]\text{-}63<4[/math] [math]4>\text{-}4[/math] [math]\mid\text{-}4\mid=4[/math]

The numbers 4 and -4 are the same distance away from 0 on the number line.

[math]\mid\text{-}63\mid>\mid4\mid[/math] [math]\mid\text{-}63\mid>4[/math] [math]4>\text{-}4[/math] [math]\mid4\mid=\mid\text{-}4\mid[/math] [math]\text{-}63<4[/math] [math]\mid\text{-}4\mid=4[/math]

The number -63 is less than the number 4.

[math]\mid\text{-}63\mid>4[/math] [math]\mid4\mid=\mid\text{-}4\mid[/math] [math]\mid\text{-}4\mid=4[/math] [math]\text{-}63<4[/math] [math]4>\text{-}4[/math] [math]\mid\text{-}63\mid>\mid4\mid[/math]

The number -63 is further away from 0 than the number 4 on the number line.

[math]\mid\text{-}63\mid>4[/math] [math]\mid\text{-}4\mid=4[/math] [math]\mid\text{-}63\mid>\mid4\mid[/math] [math]\mid4\mid=\mid\text{-}4\mid[/math] [math]\text{-}63<4[/math] [math]4>\text{-}4[/math]

Compare each pair of expressions using >, <, or =.

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.

Her grandmother gave her $25 in a birthday card.

She earned $14 dollars babysitting.

She spent $10 on a ticket to the concert.

She donated $3 to a local charity

She got $2 interest on money that was in her savings account.

Here are the lowest temperatures recorded in the last 2 centuries for some US cities.

[list][size=150][*]Death Valley, CA was [math]\text{-}45^{\circ}F[/math] in January of 1937.[/*][*]Danbury, CT was [math]\text{-}37^{\circ}F[/math] in February of 1943.[/*][*]Monticello, FL was [math]\text{-}2^{\circ}F[/math] in February of 1899.[/*][*]East Saint Louis, IL was[math]\text{-}36^{\circ}F[/math] in January of 1999.[/*][*]Greenville, GA was [math]\text{-}17^{\circ}F[/math] in January of 1940.[/*][/size][/list][br]Which of these states has the lowest record temperature?

Which state has a lower record temperature, FL or GA?

Which state has a lower record temperature, CT or IL?

How many more degrees colder is the record temperature for GA than for FL?

Find the quotients.

[math]0.024\div0.015[/math]

[math]0.24\div0.015[/math]

[math]0.024\div0.15[/math]

[math]24\div15[/math]