Compare partial products and regrouping how the methods are alike and different

Answers

Answer 1

Answer:

Answer:

We get the same answer from both processes.In the end, it is a multiplication process. In partial product we take the values of ones, tens, hundreds in each step and then add them together. In regrouping same thing happens but we do not break them down to processes.

Step-by-step explanation:

In Partial products we multiply the numbers partially and add them together to get the answer. It is easier to explain with an example, lets say we multiply 47 by 3

1) 47

×3

--------

2) 47

×3

---------

120 ( $(3*40)$

3) 3 8

×3

----------

+21

120

-----------

141

In Regrouping we add the partial products to the next tens,hundreds and so on. We don not write them down and then add later. Lets take the same example and do the multiplication with Regrouping method.

1)2 --------> ( $3*7=21$ write the number in tenth place here)

×3

___

__1 --------> ( $3*7=21$ write the number in ones place here)

2)47

×3

___

141 ( $3*4=12$ then add the 2 above to get 14)

Answer 2

Answer: Partial products are different in regrouping in terms of how numbers are clustered from a set equation as a whole delivering it individual but naturally to all the numbers involved in the set.
Regrouping is just like the commutative or associative property of numbers.
Associative property of addition is used when you want to group addends. This is mainly used to cluster set of numbers or in this case, addends. How do you use the associative property when you break apart addends? Simple you group them using the open and closed parentheses or brackets. Take for an example 1 + 1 + 2 = 4. Using the associative property you can have either (1 + 1) + 2 = 4 or 1 + (1 + 2) = 4 clustered into place.

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A jar contains only nickels and dimes. The jar contains a total of 21 coins. The value of all the coins is 1.65$. How many nickels and dimes are in the jar?

Answers

12 Dimes and 9 Nickels. 12 dimes would equal $1.20 and 9 nickels would equal $0.45. $1.20 + $0.45 = $1.65
Hope this helps!

Instructions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).Consider the functions f(x)=x^2+9x and g(x)=1/x.
f(g(-1)) is
g(f(1/2)) is

Answers

Answer:

-8

2/19

Step-by-step explanation:

We must substitute x=-1 into g(x) and then the answer of g(x) we must substiute as x into f(x). Similarly we must substitute x=1/2 into f(x) and the answer as x into g(x):

1. x=-1 into g(x)

$=1/-1=-1$

substitute x=-1 into f(x)

$=(-1)^2+9\cdot(-1)=-8$

2. x=1/2 into f(x)

$=(1/2)^2+9\cdot(1/2)=19/2$

substitute x=19/2 into g(x)

$=1/(11/2)=2/19$

$f(g(x))=1/x^2+9/x\Rightarrow f(g(-1))=-8$

$f(g(x))=1/(x^2+9x) \Rightarrow g(f(1/2))=4/19$

A store sells 8 cans of fruit cocktail for $22. How much would it cost you to buy 7 cans of fruit cocktail ?It would cost $_______

Answers

Answer:

$154

Step-by-step explanation:

Each can is $22.

You take $22x7=$154

Answer:

19.25$

Step-by-step explanation:

So first with these we always try to get the constant or divided it down to 1.

So 22 divided by 8 = 2.75, which means 2.75 is out constant.

So it is every 1 fruit cocktail it costs 2.75$.

So if we do 1 x 7 = 7

And 2.75 x 7

Then that equals 19.25

So for every 7 cans of fruit cocktail, it costs 19.25

Hope I could help.

A concert charges $24.50 per daily adult ticket and $13.75 per child’s ticket. A group of 90 people paid $1560.00 for tickets. Write a system of equations that could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased?I know the answer i just need to know how to solve it. Thanks :)

Answers

x=adults
y=childern

x+y=90
24.50x+13.75y=1560

so
mutliply the first equation by -13.75 and add to second equaiton

-13.75x-13.75y=-1237.5
24.50x+13.75y=1560 +
10.75x+0y=323

10.75x=322.5
divide both sides by 10.75
x=30

x=30
sub back

x+y=90
30+y=90
minus 30 both sides
y=60

x=30
y=60
30 adults
60 kids

A company offered one half of its employees a bonus if the production of cookies increased by 15%. The other half of the employees was not offered a bonus. As the end of the month, production in the group that did not get the bonus offer increased by a mean of 20 and production in the bonus group increased by a mean of 10. What is the correct order of steps to determine if the results are significant? A. Calculate the probability of a difference of 10. B. Calculate the difference of the means. C. Randomly separate the employees' individual results into two groups. D. Calculate the mean of each group. E. Run the experiment many times.

Answers

Answer:

Company revealed that, One half of employees will get bonus, if the production of cookies increased by 15 %.

And , other half of employees will not get the bonus.

And,

The group who didn't get the bonus, their production increased by mean of 20.

And, the production in the bonus group increased by mean of 10 only.

To check whether results are significant or not,we will follow the following steps

1. C. Randomly separate the employees' individual results into two groups.

2. D.Calculate the mean of each group.

3. B. Calculate the difference of the means

4. E. Run the experiment many times.

5. A .Calculate the probability of a difference of 10

The answer for this question is C, D, B, E, A. I hope that helps!

Heather has a bag with 3 marbles, 7 tennis balls, 3 apples, and 3 books. What is the ratio of books to tennis balls?A.
(3/7) or 3:7
B.
(7/8) or 7:8
C.
(4/7) or 4:7

Answers

Answer:

Step-by-step explanation:

I hope it's correct and I'm thinking it is,. Sorry if it's not

Answer:

I think A

Step-by-step explanation:

3/7. Or 3:7

Cause there are 3 books and 7 tennis balls

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