Estimate the sum or difference 8/9+4/7

Answer

the estimated sum is 11.59

And the estimated difference is

0.32

Step-by-step explanation:

The question bothers to know how well you understand your fraction

In a step by step approach we will estimate both the sum and the difference

Step one

Let us know what the sum is

8/9+4/7

The Lcm can be gotten by multiplying the denominators

9x7=63

56+36/63= 92/63

=11.59

Hence the estimated sum is 11.59

Step two

Let us estimate the difference also we have

8/9-4/7

Like before our Lcm =63

56-36/63=20/63

=0.32

Our estimated difference is 0.32

linear

step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12