Express 1.35 trillion in scientific notation.
The correct answer and explanation is:
To express 1.35 trillion in scientific notation, we need to convert the number into a format where the coefficient is between 1 and 10, and then multiply it by a power of 10.
Step 1: Understand the term “trillion.”
In the U.S. numbering system, a trillion equals 1,000,000,000,0001,000,000,000,000 or 101210^{12}.
Step 2: Write 1.35 trillion as a number.
1.35 trillion is the same as: 1.35×1,000,000,000,0001.35 \times 1,000,000,000,000
or: 1.35×10121.35 \times 10^{12}
Step 3: Express in scientific notation.
To express the number 1.35 trillion in scientific notation, write it as: 1.35×10121.35 \times 10^{12}
This is because 1.35 is already a number between 1 and 10, and it is being multiplied by 101210^{12}, which accounts for the twelve zeros in a trillion.
Explanation:
In scientific notation, a number is written as a product of a number between 1 and 10 (called the coefficient) and a power of 10 (called the exponent). The exponent tells you how many places to move the decimal point in the coefficient to reach the original number.
In this case, moving the decimal point of 1.35 twelve places to the right would give you the original number, which is 1.35 trillion. The power of 10 is used to show how large the number is, and the exponent (12) corresponds to the number of places the decimal moves.
Thus, 1.35 trillion can be written as: 1.35×10121.35 \times 10^{12}
This is the correct scientific notation for 1.35 trillion.