Integers: Comparing and Ordering EQ How do we compare and order rational numbers?

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Integers: Comparing and Ordering

EQ How do we compare and order rational numbers?

Rational Numbers Integers Whole Numbers (Positive Integers) Negative Integers Fractions/Decimals

Rational numbers Numbers that can be written as a fraction. Example: 2 = 2 = 2 ÷ 1 = 2 1

Whole Numbers Positive numbers that are not fractions or decimals

Integers The set of whole numbers and their opposites

Positive Integers Integers greater than zero

Negative Integers Integers less than zero

Comparing Integers The further a number is to the right on the number line, the greater it’s value. Ex: -3 ___ is on the right of -3, so it is the greatest... <

Comparing Integers The farther a number is to the right on the number line, the greater it’s value. Ex: 2 ___ is on the right of -5, so it is the greatest... >

Comparing Integers The farther a number is to the right on the number line, the greater it’s value. Ex: 0 ___ is on the right of -2, so it is the greatest... >

Ordering Integers When ordering integers from least to greatest follow the order on the number line from left to right. Ex: 4, -5, 0, Least to greatest: -5, 0, 2, 4....

Ordering Integers When ordering integers from greatest to least follow the order on the number line from right to left. Ex: -4, 3, 0, Greatest to least: 3, 0, -1,

Try This: a. -13 ___ 4 b. -4 ___ -7 c ___ 32 < < < d. Order from least to greatest: 15, -9, -3, 5 _______________ e. Order from greatest to least: -16, -7, -8, 2 _______________ -9, -3, 5, 15 2, -7, -8, -16

EQ How do we find the absolute value of a number?

Absolute Value The distance a number is from zero on the number line. Symbols: |2| = the absolute value of It takes two jumps from 0 to 2. Start at 0, count the jumps to 2. |2| = 2

Absolute Value The distance a number is from zero on the number line. Ex: |-4| = It takes four jumps from 0 to -4. Start at 0, count the jumps to -4. |-4| = 4

Solving Problems with Absolute Value When there is an operation inside the absolute value symbols; solve the problem first, then take the absolute value of the answer. Ex: |3+4| =|7| = 7 Ex: |3|- 2 =3-2 = 1 Hint: They are kind of like parentheses – do them first!

Try This: a.|15| = _____ b. |-12| = _____ c. |-9| + 4 = _____ d. |13 - 5| = _____