Question

Use a pattern approach to explain why (-2)(-3)=6

80

likes
402 views

Answer to a math question Use a pattern approach to explain why (-2)(-3)=6

Expert avatar
Bud
4.6
96 Answers
To understand why (-2)(-3)=6, we can use a pattern approach.

Step 1: Let's consider multiplying positive numbers:
- When we multiply two positive numbers, the product is positive (e.g., (2)(3)=6).

Step 2: Now, let's consider multiplying negative numbers:
- When we multiply two negative numbers, the product is also positive. For example:
-2 * -3 = 6.

Step 3: Now, let's think about what happens when we multiply a positive number with a negative number:
- When we multiply a positive number with a negative number, the product is negative. For example:
(2)(-3) = -6.

Step 4: Finally, when we multiply a negative number with a positive number, the product is also negative. For example:
(-2)(3) = -6.

Answer: Therefore, following the pattern, (-2)(-3) results in a positive product of 6.

Frequently asked questions (FAQs)
Question: Find the sum of the first n terms in the arithmetic sequence with initial term a and common difference d?
+
What is the rule for proving triangles congruent if all three sides of one triangle are corresponding in length to the sides of another triangle?
+
What is the absolute value of the complex number (3 - 2i)?
+
New questions in Mathematics
Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?
Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)
[(36,000,000)(0.000003)^2]divided(0.00000006)
Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number
The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?
reduce the expression (7.5x 12)÷0.3
sum of 7a-4b+5c, -7a+4b-6c
3+7
The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .
At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room
X~N(2.6,1.44). find the P(X<3.1)
The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?
Buffalo Company makes and sells shampoo. Each unit requires $1.40 labor costs, material costs per unit are $0.90 and other variable costs are $0.30. It sells shampoo for $4.45 to retailers. Fixed costs are $15,000. It sold 25,000 units in the current month. What is the Break-Even point in units? What is the Break-Even point in dollars? What is the contribution margin of Buffalo Company?
2.380× (1+0.05) / 0.95−0.05
The volume of a cube decreases at a rate of 10 m3/s. Find the rate at which the side of the cube changes when the side of the cube is 2 m.
Calculate the area of the parallelogram with adjacent vertices (1,4, −2), (−3,1,6) 𝑦 (1, −2,3)
Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms
there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can (reproduce). Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?
Calculate NPV, IRR and PAYBACK through a cash flow for a period of five years, with discount rate of: a) 10% b) 12% c) 15% initial annual cost $41,400,000
Identify the slope and y intercept y=11+2/3x