Lesson 1.4 Comparing and Ordering Integers Essential Question: How do you compare and order integers?

Supercooling Point (°C) Before we start… Insect Supercooling Point (°C) Arctic Beetle -54 Gall beetle -35 Goldenrod gallfly -9 Snow flea -19 Wooly bear caterpillar -70 Water freezes at 0°C, but some animals can resist freezing by producing a chemical that lowers the temperature at which the water in their bodies freezes. This temperature is called the supercooling point. Which of the insects listed in the table has the lowest supercooling point?

The elevation of several places on Earth is given below The elevation of several places on Earth is given below. Can you order them from highest to lowest? South Bend, Indiana + 725 Valdes Peninsula, Argentina - 131 Fresno, California + 296 Laredo, Texas + 414 Cambridge, Massachusetts + 30 Lake Eyre, South Australia - 52 Dead Sea, Israel-Jordon - 1312

What are integers? Integers are the numbers -3, -2, -1, 0, 1, 2, … Positive integers are integers that are greater than 0 Negative integers are integers that are less than 0 0 is neither positive nor negative.

Write the integer that represents the situation Write the integer that represents the situation. Then write the opposite of that integer. A golf score of 3 under par A deposit of $100 into your savings account Scoring 20 points on a quiz Missing 7 questions on a quiz

How do you compare and order integers? To order integers, you have to compare them. You can use a number line to do so if needed. The numbers decrease as you move to the left and increase as you move to the right on a number line. Negative integers are less than positive integers.

Order these integers from least to greatest: -8, 5, -4, 2, 0, 6

Order these integers from least to greatest: 3, -4, 0, -9, 4, 1

Give two integers that make the statement true. 0<𝑑 𝑐<23 2<𝑝<7 9>𝑡>−2

What is absolute value? The distance between a and 0 on a number line. The symbol 𝑎 represents the absolute value of a.

Absolute Value of a Number

Find the absolute value of the numbers

Find the absolute value of the numbers

What are opposites? Two numbers that are the same distance from 0 on a number line but are on opposite sides of 0. 4 and – 4 are opposites −𝑎 is the opposite of 𝑎

Find the opposites of the given numbers

Find the opposites of the given numbers

Evaluate the expression when 𝑦=−5 −𝑦 17− 𝑦 𝑦 +3

Evaluate the expression when 𝑥=−4 12− 𝑥 −𝑥 𝑥 +9

Evaluate the expression when 𝑥=−9 and 𝑦=−15 𝑥 + 𝑦 − 𝑦 − 𝑥

State the absolute value of the number State the absolute value of the number. a) 1 b) −9 c) − 3 7 State the opposite of the number. a) −32 b) 1.49 c) 4 5 Evaluate the expression when 𝑥=−3 a) 𝑥 +8 b) 𝑥 + −1 c) 4+ 𝑥

Neptune’s Moons In 1989, data collected by the Voyager spacecraft showed the surface temperature of Triton, Neptune’s largest moon, to be about −392°F. Eight years later, data from the Hubble telescope showed the temperature to be about −389°F. Did the Hubble data indicate a temperature less than or greater than the one based on the Voyager data?

Miniature Golf In miniature golf, par is the expected number of strokes to finish a hole. Your score for the game is the sum of your number of strokes above or below par for each hole. The player with the least score wins. Order the scores given in the table from least to greatest to determine the order of finish. Player Score Jerri −5 Elinor +3 Lance −2 Hugh +1 Fernando −3

How do you compare and order integers?

Ticket Out the Door Order the elements in the table from the lowest boiling-point temperature to highest. Element Hydrogen Mercury Nitrogen Oxygen Temperature - 2593°C 357°C -196°C -183°C