The distance from the Earth to the sun is 93,000,000 miles? Write this number in scientific notation.

A scientist measures a speck of sand as having a diameter of 0.00000034? Write this number in scientific notation.

9.3*10^7

3.4 * 10^-7

-8

3.4x 10

The distance from the Earth to the sun, 93,000,000 miles, can be written in scientific notation as 9.3 x 10^7 miles.

The diameter of the speck of sand, 0.00000034, can be written in scientific notation as 3.4 x 10^(-7).

To write a number in scientific notation, follow these steps:

Step 1: Identify the decimal point's position in the original number.
Step 2: Count the number of digits between the decimal point and the first non-zero digit (including zeros).
Step 3: Move the decimal point to create a number between 1 and 10, and keep track of how many places you've moved it.
Step 4: Represent the original number as the new value you obtained in Step 3, multiplied by 10 raised to the number of places you moved the decimal point.

Now, let's apply this to the given numbers:

1. The distance from the Earth to the sun is 93,000,000 miles. The decimal point is after the last zero. So, we count the number of digits between the decimal point and the first non-zero digit: 7.

To make a number between 1 and 10, we need to move the decimal point seven places to the left:

93,000,000 → 9.3

We moved the decimal point seven places to the left, so we write this as:

9.3 × 10^7

Hence, the distance from Earth to the sun in scientific notation is 9.3 × 10^7 miles.

2. The diameter of the speck of sand is 0.00000034. The decimal point is after the first zero. So, we count the number of digits between the decimal point and the first non-zero digit: 7.

To make a number between 1 and 10, we need to move the decimal point seven places to the right:

0.00000034 → 3.4

We moved the decimal point seven places to the right, so we write this as:

3.4 × 10^-7

Hence, the diameter of the speck of sand in scientific notation is 3.4 × 10^-7.