What is $1.63 \times 10^9$ written in standard form?
Answer (1)
We are given the number 1.63 × 1 0 9 in scientific notation.
To convert to standard form, we multiply 1.63 by 1 0 9 .
This is equivalent to moving the decimal point 9 places to the right.
The result is 1,630,000,000, so the answer is 1 , 630 , 000 , 000 .
Explanation
Understanding the Problem We are given a number in scientific notation, which is 1.63 × 1 0 9 . Our goal is to convert this number into standard form. Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in standard form.
Converting to Standard Form To convert from scientific notation to standard form, we need to multiply the decimal number (1.63 in this case) by the power of 10 ( 1 0 9 in this case). Multiplying by 1 0 9 is the same as moving the decimal point 9 places to the right.
Calculating the Standard Form So, we start with 1.63 and move the decimal point 9 places to the right. This gives us 1,630,000,000.
Final Answer Therefore, 1.63 × 1 0 9 in standard form is 1,630,000,000.
Examples
Scientific notation and standard form are useful in many real-world situations. For example, scientists use scientific notation to express very large or very small numbers, such as the distance between stars or the size of an atom. In finance, large amounts of money, like a country's GDP, are often expressed using scientific notation or standard form with many digits. Understanding how to convert between these forms helps in comprehending and comparing such quantities.
