Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers Example 2: Subtracting a Positive Number Follow along with your teacher to complete.

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Lesson 5: Understanding Subtraction of Integers and Other Rational Numbers Example 2: Subtracting a Positive Number Follow along with your teacher to complete the diagrams below. If I had these two cards, the sum would be 6 6

Show that discarding (subtracting) a positive card, which is the same as subtracting a positive number, decreases the value of the hand. Removing (______________) a positive card changes the score in the same way as _____________ a card whose value is the __________________ (or opposite). In this case, adding the corresponding ___________________________ ________________. If I discarded or removed the 2, my score would decrease by 2. 4 Subtract (remove) the two. 4 subtracting adding additive inverse negative, such that = 4 + (-2)

Example 3: Subtracting a Negative Number Follow along with your teacher to complete the diagrams below. 2

How does removing (subtracting) a negative card change the score, or value, of the hand? Subtract (remove) the negative two. 4 4 Removing (______________) a negative card changes the score in the same way as ________ a card whose value is the _________________ (or opposite). In this case, adding the corresponding _________________________ _________________. subtracting adding additive inverse Positive such that 4 – (-2) = 4 + 2

Exercises 1–3: Subtracting Positive and Negative Integers Using the rule of subtraction, rewrite the following subtraction sentences as addition sentences and solve. Use the number line below if needed. a b. 4-9 c d. -9-(-2) 1.Find the absolute value of the integers. 2.Subtract the absolute values. 3.The answer will take the sign of the integer that has the greater absolute value. circle the integer with the greater absolute value to determine the final sign of the integer. 8 + (-2) = (-9) = -3 + (-7) = = The Rule of Subtraction: Subtracting a number is the same as adding its additive inverse (or opposite).

= = =,−(−) and,+=, feet

two ways you can decrease the value of your hand.  To decrease the value of your hand during the Integer Game, you can either pick up a negative card or discard a positive card. Assignment: Problem Set 4.Subtracting a number is the same as adding its additive inverse. Give an example such as 4 – 6 = 4 + (-6) They both equal -2.