137k views
3 votes
How do you write 3.8 in scientific notation?

User Tarique
by
8.4k points

1 Answer

4 votes

Answer:

3.8 × 10^{1}

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 38 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: 38

New Number: 3.8

Step 2

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

New Number: 3 . 8

Decimal Count: 1

There are 1 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 = 3.8

b = 1

Now the whole thing:

3.8 x 10^{1}

Step 4

Check work:

10^{1} = 10 x 3.8 = 38

User Tea Curran
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories