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Here are a few recommended readings before getting started with this lesson.
Multiplication is the same as repeated addition. However, when multiplying integers, the signs of the factors determine whether the product is positive or negative.
If both factors are positive, keep the numbers as they are. On the other hand, if the factors are both negative, ignore the signs of the factors to reduce the multiplication to a multiplication of two positive integers. In this example, the signs of the integers will be removed because both are negative. -3*(-4) ⇕ 3*4 The expression is now a multiplication of two whole numbers.
Verify that one factor is positive and the other is negative. Change the negative factor to its opposite. The result is a multiplication of two positive integers. For the given example, the first factor is negative 7, so change it to its opposite 7. -7*2 ⇒ 7*2
Change the product from the previous step to its opposite to get the product of the initial multiplication of integers with different signs. For the given example, the product of whole numbers is 14. Its opposite is -14. 7*2= 14 ⇒ -7*2= -14 In summary, multiply two integers with different signs as if they were whole numbers and change the result to its opposite to get the final product.
LaShay is a brilliant pianist. One day, she is asked to play at her school concert. She is excited to showcase her talent in front of her peers. She now wants to calculate how long it would take her to play her piece.
She has a total of 8 songs to play and each song is an average of 3 minutes long. How long would it take her to play all the songs?Multiply the number of songs by the average length of a song to find the total time.
In the afternoons, LaShay takes a break from her studies and piano lessons to help her aunt with her pizza shop.
LaShay's aunt pays her $10 for each day she helps her. However, every time LaShay is late, she loses $3.
The division of integer numbers is similar to the division of whole numbers. However, when dividing integers, the signs of the dividend and the divisor determine whether the quotient is positive or negative.
If the dividend and the divisor are positive, keep the numbers as they are. On the other hand, if the dividend and the divisor are negative, ignore their sings to reduce the division to a division of two positive integers. In the given example, the signs of the integers will be removed because both are negative. -15÷(-3) ⇔ 15÷ 3 The expression is now a division of two whole numbers.
Identify which of the numbers involved in the division is negative. Next, change it to its opposite to get a division of two positive integers. In the given example, the dividend -12 is negative. Its opposite is 12. -12÷4 ⇒ 12÷4
Change the quotient found in the previous step to its opposite to get the quotient of the initial division of integers with different sings. For the given example, the quotient is 3. Its opposite is -3. Therefore, the quotient of - 12 ÷ 4 is - 3. 12÷4= 3 ⇒ -12÷4= -3 In summary, divide two integers with different signs as if they were whole numbers and change the result to its opposite to get the final quotient.
LaShay wants to buy a new dress for her upcoming performance with her earnings for helping her aunt at the pizza shop. She and her parents are at the shopping center. They must take the elevator to the sixth floor to get to LaShay's favorite clothing store.
They are at the end of a line of 35 people waiting for the elevator. The elevator can only carry seven people at a time. How many elevator trips will it take for LaShay and her parents to get into the elevator?Divide the number of people in line by the number of people that can ride in the elevator per trip.
LaShay's concert went so well that she decided to play one of her favorite pieces for an upcoming competition.
She made 6 mistakes while playing for the competition and lost -96 points. If each mistake was worth the same number of points, how much was each mistake worth? Give the answer as a negative integer.Divide the number of points lost by the number of mistakes made.