0.002 is
10
1
of what number?
The Correct Answer and Explanation is :
To find out what number 0.002 is ( \frac{1}{10} ) of, we can set up the equation based on the relationship described:
[
0.002 = \frac{1}{10} \times x
]
To isolate ( x ), we can multiply both sides of the equation by 10:
[
x = 0.002 \times 10
]
Calculating this gives:
[
x = 0.02
]
Thus, 0.002 is ( \frac{1}{10} ) of 0.02.
Explanation:
When we talk about a fraction of a number, we can use multiplication to express that relationship. Here, ( \frac{1}{10} ) means we are considering one-tenth of a particular value. In this case, we want to find the original number (let’s call it ( x )) such that one-tenth of ( x ) equals 0.002.
Step 1: Setting up the Equation
We start with the equation:
[
0.002 = \frac{1}{10} \times x
]
This establishes the relationship we are trying to solve.
Step 2: Rearranging the Equation
To find ( x ), we need to eliminate the fraction. We do this by multiplying both sides of the equation by 10. This operation will cancel out the ( \frac{1}{10} ) on the right side.
Step 3: Calculation
After multiplying, we arrive at:
[
x = 0.002 \times 10
]
When we perform the multiplication:
[
0.002 \times 10 = 0.02
]
This result indicates that 0.002 is one-tenth of 0.02, confirming our calculations.
Conclusion
This exercise demonstrates how to manipulate basic algebraic equations to find unknowns. Understanding fractions and their relationships with whole numbers is a foundational skill in mathematics that applies across various contexts, from simple calculations to more complex equations.