Question

Question 1.

Write 803,000,000 in scientific notation.
Answer:

Question 2.
Write 0.0000000068 in scientific notation.
Answer:

Question 3.
Write 1.359 × 105 in standard form.
Answer:

Question 4.
The radius of a hydrogen atom is 0.000000000025 meter. How would you express this radius in scientific notation?

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Answer 1

1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11

Explanation:

Step 1

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

Original Number: 803,000,000New Number: 8.03000000Step 2

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

New Number:8.03000000Decimal Count:12345678

There are 8 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 = 8.03 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

8.03 x 108

Step 4

Check your work:

108 = 100,000,000 x 8.03 = 803,000,000