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Adding and Subtracting Real Numbers

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Presentation on theme: "Adding and Subtracting Real Numbers"β€” Presentation transcript:

1 Adding and Subtracting Real Numbers
Unit 1 Lesson 5

2 ADDING AND SUBTRACTING REAL NUMBERS
Students will be able to: add and subtract integers and rational numbers. Key Vocabulary: Rules of Addition Rule of Subtraction Opposites Additive Inverse

3 ADDING AND SUBTRACTING REAL NUMBERS
We can use a number line to add any real numbers. Adding a positive number by moving to the right. Adding a negative number by moving to left. 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 Negative Numbers Positive Numbers

4 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 1: Use a number line to find the sum. Β a. βˆ’πŸ”+πŸ—=πŸ‘ Β b. πŸ’+ βˆ’πŸ• =βˆ’πŸ‘ Β c. βˆ’πŸ‘+πŸ–=πŸ“ 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9

5 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 1: Use a number line to find the sum. Β a. βˆ’πŸ”+πŸ—=πŸ‘ Β b. πŸ’+ βˆ’πŸ• =βˆ’πŸ‘ Β c. βˆ’πŸ‘+πŸ–=πŸ“ Move 9 units to the right 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 Move 7 units to the left 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 Move 8 units to the right

6 ADDING AND SUBTRACTING REAL NUMBERS
RULES OF ADDITION: without a number line To add two numbers with the same sign: Add their absolute values. Attach the common sign. To add two numbers with opposite signs: Subtract the smaller absolute value from the larger absolute value. Attach the sign of the number with the larger absolute value.

7 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 2: Find the sum. Β a. 𝟏.πŸ’+ βˆ’πŸ.πŸ” +πŸ‘.𝟏 Β b. βˆ’ 𝟏 𝟐 +πŸ‘+ 𝟏 𝟐 Β c. βˆ’πŸπŸ+ βˆ’πŸ•

8 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 2: Find the sum. Β a. 𝟏.πŸ’+ βˆ’πŸ.πŸ” +πŸ‘.𝟏 =βˆ’πŸ.𝟐+πŸ‘.𝟏 =𝟏.πŸ— Β b. βˆ’ 𝟏 𝟐 +πŸ‘+ 𝟏 𝟐 =βˆ’ 𝟏 𝟐 + 𝟏 𝟐 +πŸ‘ =πŸ‘ Β c. βˆ’πŸπŸ+ βˆ’πŸ• =βˆ’πŸπŸ–

9 ADDING AND SUBTRACTING REAL NUMBERS
RULE OF SUBTRACTION: without a number line To subtract 𝒃 from 𝒂, add the opposite of 𝒃 to 𝒂: π’‚βˆ’π’ƒ=𝒂+ βˆ’π’ƒ The result is the difference of 𝒂 and 𝒃.

10 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 3: Find the difference. Β a. βˆ’πŸ•βˆ’πŸ” Β b. βˆ’ πŸ“ πŸ’ βˆ’ βˆ’ 𝟏 πŸ’ Β c. πŸπŸŽβˆ’πŸπŸ

11 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 3: Find the difference. Β a. βˆ’πŸ•βˆ’πŸ” =βˆ’πŸπŸ‘ Β b. βˆ’ πŸ“ πŸ’ βˆ’ βˆ’ 𝟏 πŸ’ =βˆ’ πŸ“ πŸ’ + 𝟏 πŸ’ =βˆ’ πŸ’ πŸ’ =βˆ’πŸ Β c. πŸπŸŽβˆ’πŸπŸ

12 ADDING AND SUBTRACTING REAL NUMBERS
OPPOSITES are pair of positive real numbers with its negative. Opposites are additive inverse of each other. ADDITIVE INVERSE of a number 𝒂 is the number that when add to 𝒂 will yield zero. 𝒂+ βˆ’π’‚ =𝟎 The opposite of βˆ’πŸ“ is πŸ“. The opposite of πŸ” is β€“πŸ”. 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6

13 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 4: Evaluate each expression. Β a. πŸ‘βˆ’ βˆ’πŸ’ βˆ’πŸ+πŸ– Β b. βˆ’πŸ—βˆ’πŸ+ βˆ’πŸ” Β c. βˆ’πŸπŸ+ βˆ’πŸπŸ +πŸπŸ•

14 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 4: Evaluate each expression. Β a. πŸ‘βˆ’ βˆ’πŸ’ βˆ’πŸ+πŸ– =πŸ‘+πŸ’+πŸ” =πŸ•+πŸ” =πŸπŸ‘ Β b. βˆ’πŸ—βˆ’πŸ+ βˆ’πŸ” =βˆ’πŸπŸβˆ’πŸ” =βˆ’πŸπŸ• Β c. βˆ’πŸπŸ+ βˆ’πŸπŸ +πŸπŸ• =βˆ’πŸπŸ‘+πŸπŸ• =βˆ’πŸ”

15 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 5: The average height of a NBA player is 79 inches while the height of an average man is 69 inches. What is the difference between their heights?

16 ADDING AND SUBTRACTING REAL NUMBERS
Sample Problem 5: The average height of a NBA player is 79 inches while the height of an average man is 69 inches. What is the difference between their heights? =πŸ•πŸ—βˆ’πŸ”πŸ— =𝟏𝟎 π’Šπ’π’„π’‰π’†π’”


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