MATHEMATICS MIDDLE SCHOOL

Laura and Sean find the product of 2/3 x 4 using different methods.Laura: It’s 2 thirds of 4.
2/3 x 4 = 4/3 + 4/3 = 2 x 4/3 = 8/3

Sean: It’s 4 groups of 2 thirds.
2/3 + 2/3 + 2/3 + 2/3 = 4 x 2/3 = 8/3

Use words, pictures, or numbers to compare their methods.

Answers

Answer 1

Answer:

Answer: So our equation is $(2)/(3) *4$

Laura does:

$(2)/(3)*4 = 2*(1)/(3) *4 = 2*(4)/(3) = (4)/(3) + (4)/(3) = (8)/(3)$

while Sean does:

$(2)/(3)*4 = (2)/(3) + (2)/(3) +(2)/(3) + (2)/(3) = (8)/(3)$

So sean sums four times the number 2/3, while Laura sums two times the number 4/3, this is because we are working with a multiplication, and the order of the factors does not alter the product.

The two are splitting the equations in different ways.

Answer 2

Answer:

Both Laura and Sean arrive at the same answer of 8/3 by using different methods.

Laura starts by multiplying 2/3 by 4 to find the total amount of 2/3 in 4 units.

Sean starts by finding the total amount of 2/3 in one group and then multiplying that amount by the number of groups, 4.

Both methods lead to the same answer, so it doesn't matter which method is used. The important thing is that the answer is correct.

Related Questions

Draw an example of a shape that has at least one right angle one angle less than a right angle and one angle greater that a right angle label the angles
a baseball team played 35 games and won 4/7 of them how many games were won and how many games are lost?
F(x)=2x^2+7x-5+g(x)=-8x^2-3x+5 what is g(x) + f(x)
Mr. Conrad's pecan pie recipe calls for 1 3/4 cups of pecans. He plans to make 6 pies for his family reunion. How many cups of pecans will Mr. Conrad need
after 6 years an account that earns 5% simple intrest has earned $480 in intrest. How much is the initial deposit?

The mass of a tiger at a zoo is 135 kilograms. Randy's cat has a mass of 5,000 grams. How many times greater is the mass of the tiger than the mass of Randy's cat?

Answers

Randy's cat if 5 kilograms, so therefore the tiger's mass is 27 times larger than the mass of Randy's cat.

Well you have to convert randy's cat's weight from grams to kilograms. 1000 grams equals 1 kilogram so 5000 grams equals 5 kilograms. Randy's cat weighs 5 kilograms. So 135 - 5 = 130 kilograms. The tiger is 130 kilograms greater than Randy's cat

There are 18 solarpanels on a house. The solar panels are
arranged in 3 equal columns. How many
rows of solar panels are on this house?
Explain how to solve the problem.

Answers

Answer:

There are 6 rows of solar panels on this house.

Step-by-step explanation:

18/3=6

Answer:

Step-by-step explanation:

18 divided equally into 3 columns should give you 6 rows.

18 ÷ 3 = 6

in a grid of squares, Alice colored 3/4 of the squares blue. she colored 1/8 of the squares red. she colored the rest of the squares yellow. what fraction of the squares did Alice color yellow?

Answers

Blue squares colored equals 6/8, add that to 1/8 (the red squares), this equals 7/8 which minus 8/8 is 1/8 which is the yellow colored squares

What is the difference 14/15 - 5/12 written as a decimal?

Answers

14/15 - 5/12

Common denominator is 60.

$(4 * 14)/(4 * 15) - (5 * 5)/(5 * 12)$

56/60 - 25/60

= 31/60 as fraction.
= 0.516 as decimal.

14/15 - 5/12
= (168-73)/ (15*12)
= 93/180
= 31/60
= 0.5166666667

Ed can run 10 miles in 2 hours at a steady rate . how many hours will it take him to run 30 miles ?

Answers

Answer:

Step-by-step explanation:

It should take six hours.

Ten times three would make thirty, doing the same to the number of hours[2 hours] we multiply it by three which leaves us with six miles.

Ed runs thirty miles in six hours.

Answer:

6 hours

10 miles takes 2 hours

so 30 miles will take 6 hours

The point A is on a mountain,which is 5700 m above sea level and point B is in a mine, which is 39600 m below sea level. Find the vertical distance between A and B.