What is the place value of each digit in the number 4.28356?
Answer (2)
Clarify the question by specifying the digits 2 and 6 for place value comparison.
Identify the place value of 2 as 0.2 and the place value of 6 as 0.00006.
Calculate the difference: 0.2 − 0.00006 .
The difference between the place values is 0.19994 .
Explanation
Problem Clarification The question is incomplete. It asks for the difference between the place in the number 4.28356, but does not specify which places to consider. To make the problem solvable, let's assume we want to find the difference between the place value of the digit 2 and the digit 6 in the number 4.28356.
Identifying Place Values The digit 2 is in the tenths place, so its place value is 0.2. The digit 6 is in the hundred-thousandths place, so its place value is 0.00006.
Calculating the Difference Now, we calculate the difference between these place values: 0.2 − 0.00006 .
Performing Subtraction To perform the subtraction, we can write 0.2 as 0.20000. Then, the subtraction becomes 0.20000 − 0.00006 = 0.19994 .
Final Answer Therefore, the difference between the place value of the digit 2 and the digit 6 in the number 4.28356 is 0.19994 .
Examples
Understanding place values and their differences is crucial in many real-life scenarios. For example, when dealing with precise measurements in science or engineering, knowing the exact value each digit represents helps in accurate calculations. Imagine you are a pharmacist measuring ingredients for a medicine; the difference between 0.2 grams and 0.00006 grams can be significant, and understanding place values ensures the correct dosage. Similarly, in financial calculations, understanding place values helps in accurately tracking small differences in currency exchange rates or interest rates, which can accumulate over time.
In the number 4.28356, the place values of each digit are: 4 is 4, 2 is 0.2, 8 is 0.08, 3 is 0.003, 5 is 0.0005, and 6 is 0.00006.
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