Explain how you solved 10x4 thousands. use a place value chart to support your explanation

Step-by-step explanation:

To find : Explain how you solved

Solution :

The place value chart of 4 thousand

Thousand      Hundred      Tens     Ones

    4                      0               0           0

10 times means multiplying the number by 10,

Now, The place value chart of 40,000 became

Ten Thousand    Thousand      Hundred      Tens     Ones

          4                     0                       0               0           0

except a rational number. : )

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.