How do you write 900+60 in standard form
The Correct Answer and Explanation is :
To write the expression (900 + 60) in standard form, we first need to simplify it. The calculation can be performed as follows:
[
900 + 60 = 960
]
Now, we can express (960) in standard form. Standard form, particularly in mathematics, refers to a way of writing numbers that allows for easy comparison and understanding, often represented as (a \times 10^n), where (1 \leq a < 10) and (n) is an integer.
To convert (960) to standard form, we can break it down into its decimal and power of ten components. The number (960) can be rewritten as:
[
960 = 9.6 \times 100
]
Since (100) can be expressed as (10^2), we can further rewrite this as:
[
960 = 9.6 \times 10^2
]
In this representation, (9.6) is between (1) and (10), fulfilling the condition for the coefficient (a), and (2) is the exponent indicating the power of ten.
Summary
To summarize, we took the expression (900 + 60) and calculated its sum, resulting in (960). Then, we converted (960) into standard form by expressing it as (9.6 \times 10^2). This method of representation is particularly useful in scientific contexts, where numbers can vary significantly in size, allowing for easier computation and clarity in understanding their magnitudes. Writing numbers in standard form simplifies operations like multiplication and division, especially when dealing with very large or very small numbers. Thus, the standard form of (900 + 60) is (9.6 \times 10^2).