Question

How to do this problem in the picture 8th grade math

Answer 1

Answer:
`4.61 * 10^5`

Reason:

The original number is 461,000 or 461000

Place a decimal point between the first two nonzero values. Erase the zeros and we get 4.61

To get back to 461000, we need to move the decimal point 5 spaces to the right. This is the exponent for the
`10^5` portion.

So
`461,000 = 4.61 * 10^5`

Answer 2

4.69 x 10⁵

Explanation:

Step 1

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

Original Number: 469,000

New Number: 4.69000

Step 2

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

New Number: 4 . 6 9 0 0 0

Decimal Count: 1 2 3 4 5

There are 5 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 = 4.69 (Please notice any zeroes on the end have been removed)

b = 5

Now the whole thing:

4.69 x 10⁵

Step 4

Check your work:

105 = 100,000 x 4.69 = 469,000