Shannon and Kristoph are dividing numbers written in scientific notation.

Shannon’s expression: 4.2*10^9/1.4*10^4

Kristoph’s expression: 4.2*10^2/1.4*10^-3

A) Without completing the division, explain how you can determine that their answers will have the same value.

B) What is the value of their expressions written in scientific notation?

C) What is the value of their expressions written in standard form?

Shannon's expression:

Kristoph's expression:

Notice that both expression has the same coefficient numbers: 4.2 and 1.4. That means to have the same results, we just need to have the same powers.

Without dividing the complete expression, you can observe that both powers are the same, because each you subtract 9-4 = 5, and 2-(-3) = 5, both gives the same exponent to the power of 10.

Therefore, both expression give the same result, because they have the same numbers and the same powers.

Let's solve the division to have the result in scientific notation.

Shannon's expression:

Kristoph's expression:

The standard form refers to each number written without the power. To do so, we need to move the decimal points the number of spots as the exponent demands. Notice that the exponent is 5, that means, we need to move the decimal point 5 spots to the right.

Therefore, the standard value of the expressions is 300,000.

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕