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marysya [2.9K]
2 years ago
6

explain the relationship between multiplying and dividing by 10 100 1000 and moving decimals point to the right or to the left

Mathematics
1 answer:
ch4aika [34]2 years ago
6 0

So basically a decimal is moved based on how many zeros are in the dividing number

Ex. 51,000/100

because there are 2 zeros in the number one hundred, the decimal in 51,000 gets moved 2 places to the left

So it goes from 51,000 to 510

Ex. 16 * 1000

There are three zeros in the number 1000. This means three zeros will be added onto the number 16

So the answer would be 16,000

Hope this helps!

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James folds a piece of paper in half several times,each time unfolding the paper to count how many equal parts he sees. After fo
Snezhnost [94]

Answer:

There will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

The needed function is y = 2 ^n

Step-by-step explanation:

Let us assume the piece of paper James decides to fold is a SQUARE.

Now, let us assume:

n : the number of times the paper is folded.

y : The number of parts obtained after folds.

Now, if the paper if folded ONCE ⇒  n = 1

Also, when the pap er is folded once, the parts obtained are TWO equal parts.

⇒  for n = 1 , y = 2       ..... (1)

Similarly, if the paper if folded TWICE  ⇒  n = 2

Also, when the paper is folded twice, the parts obtained are FOUR equal parts.

⇒  for n = 2 , y = 4       ..... (2)

⇒y  = 2^2  =  2^n

Continuing the same way, if the paper is folded SEVEN times  ⇒  n = 7

So, y = 2^ n = 2^7 = 128

⇒  There are total 128 equal parts.

Lastly,  if the paper is folded ELEVEN  times  ⇒  n = 11

So, y = 2^ n = 2^{11} = 2048

⇒  There are total 2048 equal parts.

Hence, there will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

And the needed function is y = 2 ^n

8 0
2 years ago
The graph shows the rate at which the depth of the water in a pond is changing over time. On a coordinate plane, a graph titled
lawyer [7]

Answer:

Step-by-step explanation:

The key to solving this question is to find the distance bwtween the two points given

distance=y2-y1/x2-x1

(2,4)(4,8)

2=x1,4=y1

4=x2

8=y2

8-4/4-2

4/2=2

The depth of the water is increasing by 2 ft each minute

4 0
2 years ago
You have a rectangular yard that measures 16 feet long 14 feet wide. It is covered in grass except for the center, where there i
aalyn [17]
First, get the area of the rectangular yard.
Area = L x W 
Area = 16 X 14
Area = 224 square feet

Get the area of the circular fountain.
Area = pi x r^2
Area = 3.1415 x (4/2)^2
Area = 12.57 square feet

Getting grass portion.
224 - 12.57 = (C) 211.43 square feet
8 0
2 years ago
Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 23 full. When she finishes her shi
ipn [44]

Answer:

<em />Rate = 1.1/hr<em />

<em />

Step-by-step explanation:

Given

Start = 23

End = 16

Hours = 6\frac{1}{2}h

Required

Determine the hourly rate

First, we need to determine the ice cream sold

Ice\ Cream = 23 - 16

Ice\ Cream = 7

Next, we calculate the hourly rate:

Rate = Ice\ Cream/Hours

Rate = 7/6\frac{1}{2}h

Rate = 7/\frac{13}{2}h

Rate = 7*\frac{2}{13h}

Rate = \frac{14}{13h}

Rate = 1.07692307692/hr

<em />Rate = 1.1/hr<em> -- Approximated</em>

4 0
2 years ago
Read 2 more answers
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
MA_775_DIABLO [31]
The answer is c because is a vrtical line



4 0
2 years ago
Read 2 more answers
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