Question

Question

Create a scenic image of a large farmhouse amidst vast green fields, without any hint of text. The farmhouse should be intricately designed, with a rustic aesthetic. It should be tall, representing the unusual height mentioned in the question. You may place a ruler next to it to symbolize the act of conversion. The surroundings should be serene with clear blue skies above and flourishing vegetation around.

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)

Answer 1

The number 6.13E-14 is already in scientific notation.

In scientific notation, the "E" represents "times 10 raised to the power of".

Therefore, 6.13E-14 can be written as 6.13 * 10^-14.

Answer 2

To convert the height from meters to centimeters, we can multiply the height in meters by the conversion factor of 100 centimeters per meter.

Using scientific notation, the height of Ali's farmhouse in centimeters is:

2.307×10^8 meters * 100 centimeters/meter = 2.307×10^10 centimeters

Answer 3

The number 1.67E-21 is already in scientific notation.

In scientific notation, the "E" represents "times 10 raised to the power of".

Therefore, 1.67E-21 can be written as 1.67 × 10^-21 grams.

Answer 4

Alberto added two very small numbers using a calculator. The calculator displayed the number 6.13E−14 . What is this number in scientific notation?(1 point)

×10^−14

Answer 5

Dina computed the mass of 1,000 protons in grams. The calculator displayed the number 1.67E−21 . What is the mass of 1,000 protons in scientific notation?(1 point)

1.67 × ___ grams

Answer 6

your answer for Ali is wrong HELP!

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)

Answer 7

To convert the height from meters to centimeters, we can use the conversion factor of 1 meter equals 100 centimeters.

Given that Ali's farmhouse has a height of 2.307×10^8 meters, we can multiply this value by the conversion factor:

2.307×10^8 meters * 100 centimeters/1 meter = 2.307×10^8 * 100 centimeters

Simplifying this expression, we can multiply the numerical part and add the exponents:

2.307 * 10^8 * 100 = 230.7 * 10^8

Now, to express the answer in scientific notation, we need to rewrite it as a number between 1 and 10 multiplied by a power of 10:

230.7 * 10^8 = 2.307 * 10^2 * 10^8

Since 10^2 is equal to 100, we can rewrite the expression as:

2.307 * 100 * 10^8 = 2.307 * 10^(2+8) = 2.307 * 10^10

Therefore, Ali's farmhouse height in centimeters is 2.307 × 10^10 centimeters.