Comparing and Ordering Integers

To compare integers, you can compare the signs as well as the magnitude, or size, of the numbers. Greater numbers are graphed farther to the right. ***Remember: Negative numbers are ALWAYS less than positive numbers!** The larger a negative number is, the SMALLER its VALUE! -9 is LESS than -1

Always look at the signs of the two numbers you are comparing! If you are comparing a positive and a negative, the positive is ALWAYS greater! If they have the same signs: If they are both positive—the larger number is greater If they are both negative—the one with the larger number is the SMALLER number!

Comparing Integers Let’s compare -3 and -1. Graph each on the number line. The one farther to the left is the smaller number, so -3 ˂ -1

Comparing Integers Compare the following integers: -4 -6 1 -3 11 -3 56 67 -345 -4 Justin has a score of -4 on the Trueville Trivia game. Desiree’s score is -5. Write an inequality to compare the scores. The temperature on Tuesday was 2˚ F. The temperature on Wednesday was -2˚F. Write an inequality to compare the temperatures.

Ordering Integers You can use a number line to order a set of integers. Order the following integers from least to greatest using a number line. -9, 6, -3, 0 Plot each integer on the number line. Put them in the order they appear from left to right, since smaller numbers are on the left. -9, -3, 0, 6 If you were putting them in order from greatest to least, you would write them in order from right to left. Larger numbers are to the right.

Ordering Integers You can also compare all your negative numbers, then compare your positive numbers. Put the following in order from greatest to least: -4, 3, 11, -25 First compare your negative numbers: -4 -25 Then compare your positive numbers: 3 11 Then put them in order. 11, 3 -4, -25

Ordering Integers Order the following from least to greatest: -18, 30, 12, -6, 3 -3, 0, -6, 5, 19 Order the following from greatest to least: 9, -7, 0, -2, 12 -7, 4, -3, -8, 6

> > < < < > New York, Baltimore, Charlotte, Seattle Practice   > > < < < > New York, Baltimore, Charlotte, Seattle

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Exit Ticket > > < < < > Andrew: -38 ft Mark: -43 ft Practice Exit Ticket   Andrew and his three friends are scuba diving. The diving depths of each boy are the following: Andrew: -38 ft Mark: -43 ft Sam: -40 ft. Joe: -37 ft Order the boys according to their depths from least to greatest. > > < < < > New York, Baltimore, Charlotte, Seattle