What is the sign of the product when multiplying two negative numbers?
Integers are whole numbers (positive, negative, or zero). To multiply two integers, count the number of factors for each integer and multiply them together. To divide two integers, use the same approach but divide instead of multiply.
Multiplying and Dividing Integers
Multiplying integers: the result of multiplying two integers with the same sign is always positive, while the result of multiplying two integers with different signs is always negative. Dividing integers: the result of dividing two integers with the same sign is always positive, while the result of dividing two integers with different signs is always negative. Order of operations: when multiplying or dividing integers, it is important to remember the order of operations (PEMDAS). Multiplication and division have the same precedence, so they should be done in the order they appear from left to right.
Multiplying two negative numbers always results in a positive number. Dividing a negative number by a positive number always results in a negative answer. The product of two consecutive integers is always even.
Did you know?
How can you tell when you should multiply or divide two integers?
What strategies can you use to help you remember the rules for multiplying and dividing integers?
How did you use the rules for multiplying and dividing integers to solve the problem?
What did you learn about multiplying and dividing integers?
Brain break: Draw a pizza dancing with a spaghetti noodle
Question: You are a teacher tasked with teaching 7th grade students how to multiply and divide integers. You have two options for a lesson plan. What do you do? Clues: • Integers are whole numbers, positive or negative. • To multiply integers with the same sign, the answer is positive. To multiply integers with different signs, the answer is negative. • To divide integers, the sign of the answer is determined by the sign of the dividend and divisor. In pairs: Select and solve one of the tasks: A. Have students work in pairs to draw and explain what they think the answer would be when two integers with the same sign are multiplied together. B. Have students work in pairs to draw and explain what they think the answer would be when two integers with different signs are divided.
What is the result of multiplying -5 and 4?
What is the product of -7 and -3?
If you divide 24 by -6, what is the quotient?
What is the result of multiplying -8 and -2?
If you divide 48 by 8, what is the quotient?
Work together in pairs: What is the rule for multiplying and dividing integers with the same sign?
Start by writing the fractions side by side, like a multiplication equation. Multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Simplify the fraction if needed by dividing the numerator and denominator by the same number.
How to Multiply Fractions
What is the product of 2/3 and 4/5?
Fraction: A fraction is a mathematical expression that represents the part of a whole. It is written with two numbers separated by a slash (/) symbol. The top number is the numerator, and the bottom number is the denominator. Multiplication of Fractions: Multiplication of fractions is a method of combining two fractions together to find the product of the two fractions. Equivalent Fractions: Equivalent fractions are fractions that have the same value, even though the numbers in the numerator and denominator may be different.
Multiplying fractions is actually the same as multiplying two whole numbers and then dividing by the same number. For example, if you multiply 1/2 by 3/4, it's the same as multiplying 1 x 3 and then dividing by 4. Fractions can be thought of as division problems where the denominator is the number of parts and the numerator is the number of parts being used. The fraction 1/2 is the smallest fraction that can not be expressed as the sum of two other fractions.
Did you know?
Work together in pairs: What is the easiest way to remember how to multiply fractions?
22. Personalised Feedback
Samantha has 2/3 of a pizza and she wants to share it equally with her 4 friends. How much pizza will each person get?
Work together in pairs: What is the product when you multiply two fractions with different numerators and denominators?
Brain break: Draw an octopus juggling pineapples while riding a unicycle across a tightrope.
What is the result of multiplying 1/4 by 2/3?
When you multiply a fraction by a whole number, what happens to the denominator?
- It stays the same
- It becomes smaller
- It becomes larger
What is the product of 3/5 multiplied by 4?
What is the result of multiplying two proper fractions less than one?
- A proper fraction less than one
- An improper fraction greater than one
- A mixed number
What is the product of 2 and -2/3?