Divide. 1 ÷ 0.0064. please my dear friend
The Correct Answer and Explanation is :
The result of the division ( 1 \div 0.0064 ) is ( 156.25 ).
Explanation
To understand this division, let’s break it down step-by-step.
- Understanding the Numbers:
- The number ( 1 ) represents a whole, while ( 0.0064 ) is a decimal fraction. Decimal fractions are parts of a whole and can often be confusing in terms of size.
- Specifically, ( 0.0064 ) can be rewritten as ( \frac{64}{10000} ), indicating it is a very small number compared to ( 1 ).
- Inverting the Decimal:
- To divide by a decimal, it is often easier to convert it to a fraction or multiply both the numerator and denominator by a power of ten to eliminate the decimal.
- For ( 0.0064 ), we can multiply both by ( 10000 ) (moving the decimal four places to the right), changing our division problem to:
[
\frac{1 \times 10000}{0.0064 \times 10000} = \frac{10000}{64}
]
- Performing the Division:
- Next, divide ( 10000 ) by ( 64 ):
[
10000 \div 64 = 156.25
]
- Interpreting the Result:
- The result ( 156.25 ) indicates that ( 1 ) can be divided into ( 0.0064 ) a total of ( 156.25 ) times. This means if you were to take ( 1 ) and break it down into parts of ( 0.0064 ), you would have ( 156 ) complete parts with a fraction of one part remaining.
- Practical Applications:
- Such calculations are crucial in various fields, including finance, physics, and engineering. They help in understanding ratios, proportions, and converting units, especially when dealing with small quantities.
In summary, dividing by a small decimal like ( 0.0064 ) results in a larger number because you are essentially finding out how many times that small quantity fits into the whole.