Multiplication and Spending Analysis

This Grade 7 math lesson focuses on developing rules for multiplying signed numbers. The lesson uses a practical problem involving Samantha's train fare to illustrate the concept. Samantha spends $4 each time she rides the train, and the lesson calculates the total cost over 13 days, considering she rides twice a day. The lesson explains how to represent this change as a negative integer and demonstrates the multiplication of signed numbers to find the total negative change in Samantha's money, concluding with a total cost of $104.

What is the main focus of this lesson?

• Addition of signed numbers

• Subtraction of signed numbers

• Multiplication of signed numbers

• Division of signed numbers

How much does Samantha spend on a single train ride?

• $2

• $4

• $3

• $5

What is the first step in solving the problem of Samantha's train fare?

• Calculate the total number of days

• Determine the cost per ride

• Multiply the number of rides by the cost per ride

• Add the cost of all rides

How many times does Samantha ride the train in 13 days?

• 52 times

• 39 times

• 26 times

• 13 times

How many times does Samantha pay the train fare each day?

• Twice

• Once

• Four times

• Three times

What is the integer representation of the change in Samantha's money for one train ride?

• +4

• -4

• +8

• -8

What is the total cost Samantha incurs for 26 train rides?

• $52

• $130

• $78

• $104

What is the result of multiplying a negative number by a positive number?

• Zero

• A negative number

• Undefined

• A positive number

What is the final answer to the problem regarding Samantha's total spending?

• $52

• $104

• $78

• $130

What is the importance of understanding the rules for multiplying signed numbers?

• To solve addition problems

• To solve subtraction problems

• To solve multiplication problems

• To solve division problems