Use Scientific Notation Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items

Question
Ali’s farmhouse has a height of 2.307×108
meters. Convert the height to centimeters. Express your answer in scientific notation to the exact decimal place.

Note: 1 meter is equal to 100 centimeters.

(1 point)
centimeters
Remaining Attempts : 3
Skip to navigation

Answer 1

To convert the height of Ali's farmhouse from meters to centimeters, you can use the conversion factor that 1 meter is equal to 100 centimeters.

First, write down the height in meters: \[ 2.307 \times 10^8 , \text{meters} \]

Now, we can convert this height to centimeters:

1. Multiply \( 2.307 \times 10^8 \) by 100 (since there are 100 centimeters in a meter): \[ 2.307 \times 10^8 \times 100 = 2.307 \times 10^8 \times 10^2 \]

2. Since multiplying powers of ten involves adding the exponents: \[ 2.307 \times 10^{8 + 2} = 2.307 \times 10^{10} \]

So, the height of Ali's farmhouse in centimeters, expressed in scientific notation, is: \[ \boxed{2.307 \times 10^{10}} , \text{centimeters} \]