How do you write 89,000 in scientific notation

8.9 × 10^{4}

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Follow the steps below to see how 89,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 89,000

New Number: 8.9000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.9000

Decimal Count: 1234

There are 4 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.9 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

8.9 x 10^{4}

Step 4

Check your work:

10^{4} = 10,000 x 8.9 = 89,000

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584