9.6 x 10^9 as a normal number
The Correct Answer and Explanation is:
The number 9.6 × 10⁹ written as a normal number is:
9,600,000,000
Explanation :
Scientific notation is a way of writing very large or very small numbers in a compact form. It is especially useful in science and engineering, where such numbers are common. The general format of scientific notation is:
a × 10ⁿ,
where a is a number greater than or equal to 1 and less than 10, and n is an integer.
In the expression 9.6 × 10⁹, the number 9.6 is the coefficient, and 10⁹ tells us how many times we should multiply 9.6 by 10. The exponent 9 indicates that the decimal point in 9.6 should move 9 places to the right. Each movement of the decimal point multiplies the number by 10.
To convert this:
- Start with 9.6.
- Move the decimal 9 places to the right.
- Fill in with zeros to cover the missing digits.
So:
- 9.6 → 96 → 960 → 9,600 → 96,000 → 960,000 → 9,600,000 → 96,000,000 → 960,000,000 → 9,600,000,000
This is the standard form of the number.
Using scientific notation simplifies calculations and makes it easier to read very large or small numbers. Instead of writing out many zeros, scientific notation shortens the expression while keeping its full value. For example, astronomers often use this method to describe the distance between planets, while microbiologists use it to measure the size of bacteria.
Understanding how to convert between scientific notation and standard form helps in interpreting data and solving problems accurately. It is a foundational skill in both academic math and practical real-world applications
