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Postman Stories for Multiplying Integers. What do you think?. Should a check be represented by a positive number, or a negative one?. What do you think?. Should a check be represented by a positive number, or a negative one?
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What do you think? • Should a check be represented by a positive number, or a negative one?
What do you think? • Should a check be represented by a positive number, or a negative one? • Should a bill be represented by a positive number, or a negative one?
Remember . . . • Checks are positive numbers. • A check for $3 may be written as 3. • Bills are negative numbers. • A bill for $7 may be written as -7.
What do you think? • If the postman brings you mail, do you have more mail than before, or less? • Should this be a positive number, or a negative one? • If the postman takes away mail, do you have more mail than before, or less? • Should this be a positive number, or a negative one?
Remember . . . • If the postman brings you mail, it is represented by a positivenumber. • If he brings you 6 pieces of mail, write 6. • If the postman takes away mail, it is represented by a negative number. • If he takes away 10 pieces of mail, write -10.
Let’s practice! • Suppose the postman brings you 5 pieces of mail. How would you write this number?
Let’s practice! • Suppose the postman brings you 5 pieces of mail. How would you write this number? • Suppose each piece of mail was a check for $10. How would you write this number?
Let’s practice! • Suppose the postman brings you 5 pieces of mail. How would you write this number? • Suppose each piece of mail was a check for $10. How would you write this number? • What multiplication problem represents this situation?
Let’s practice! • Suppose the postman brings you 5 pieces of mail. How would you write this number? • Suppose each piece of mail was a check for $10. How would you write this number? • What multiplication problem represents this situation? 5x10 = ?
Let’s practice! • Suppose the postman brings you 5 pieces of mail. How would you write this number? • Suppose each piece of mail was a check for $10. How would you write this number? • What multiplication problem represents this situation? 5x10 = 50
Check It! 5x10 = 50 • Does the answer +50 make sense? Did you gain $50 when he brought you 5 checks for $10 each?
Let’s practice! • Suppose the postman brings you 5 pieces of mail. How would you write this number? • Suppose each piece of mail was a bill for $10. How would you write this number?
Let’s practice! • Suppose the postman brings you 5 pieces of mail. How would you write this number? • Suppose each piece of mail was a bill for $10. How would you write this number? • What multiplication problem is this? • What’s the answer to that multiplication problem?
Let’s Practice! • The postman brought you 5 pieces of mail. • Each piece of mail was a bill for $10. 5X-10 = -50
Does it make sense? • The postman brings you 5 pieces of mail. • Each piece of mail is a bill for $10. • You lost $50. This is the number -50! • Equation: 5X-10 = -50 • You lost $50. This is the number -50!
Let’s Practice • When you paid your bills, the postman took away 5 pieces of mail. • Each piece of mail was a check for $10. • How can we express this mathematically?
Let’s Practice • When you paid your bills, the postman took away 5 pieces of mail. • Each piece of mail was a check for $10. • How can we express this mathematically? (Write an expression!)
Let’s Practice • When you paid your bills, the postman took away 5 pieces of mail. • Each piece of mail was a check for $10. • How can we express this mathematically? (Write an expression!) -5X10 = ?
Let’s Practice • When you paid your bills, the postman took away 5 pieces of mail. • Each piece of mail was a check for $10. • Solution: -5X10 = -50
Let’s Practice • When you paid your bills, the postman took away 5 pieces of mail. • Each piece of mail was a check for $10.
Let’s Practice • When you paid your bills, the postman took away 5 pieces of mail. • Each piece of mail was a check for $10. • Write a math problem for this situation and solve it.
Let’s Practice • When you paid your bills, the postman took away 5 pieces of mail. • Each piece of mail was a check for $10. -5 x10 = -50
Does it make sense? • The postman took away 5 pieces of mail. • Each piece of mail was a check for $10. • Equation: 5X-10 = -50 • You have $50 less than before. This is the answer: -50!
Last Practice • It’s time to bill your customers for your business! • The postman takes away 5 pieces of mail. • Each piece of mail is a bill for $10.
Last Practice • It’s time to bill your customers for your business! • The postman takes away 5 pieces of mail. • Each piece of mail is a bill for $10. • Write an equation for this.
Last Practice • The postman takes away 5 pieces of mail. • Each piece of mail is a bill for $10. • Equation: -5X-10 = 50
Does It Make Sense? • The postman takes away 5 pieces of mail. • Each piece of mail is a bill for $10. • Equation: -5X-10 = 50 You made $50! That’s why the answer is +50.
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