Fill in the blanks.
A. The difference totaled the place values of 6 and 5 in the number 428356 is ______.
B. The smallest even number of 5 digits is ______.
Answer (2)
Determine the place value of 6 (ones place = 1) and 5 (tens place = 10) in the number 428356.
Calculate the difference between the place values: 10 − 1 = 9 .
Identify the smallest 5-digit number as 10000.
Confirm that 10000 is even, making it the smallest even 5-digit number: 10000 .
Explanation
Analyzing the first question Let's analyze the two fill-in-the-blank questions.
For the first question, we need to find the place values of the digits 6 and 5 in the number 428356 and then calculate the difference between them. The digit 6 is in the ones place, and the digit 5 is in the tens place. Therefore, we need to subtract the place value of 6 (which is 6 \times 1 = 6) from the place value of 5 (which is 5 \times 10 = 50). However, the question asks for the difference totaled, implying we should subtract the smaller value from the larger value. So, we will subtract 6 from 10 (place value of 5 is the tens place which is 10).
Calculating the difference of place values For the first question, the place value of 6 in the number 428356 is 1 (ones place), so its value is 6 \times 1 = 6. The place value of 5 in the number 428356 is 10 (tens place), so its value is 5 \times 10 = 50. The question asks for 'the difference totaled the place values of 6 and 5'. This is a bit ambiguous, but it seems to be asking for the difference between the place values themselves (10 and 1), not the values of the digits in those places (50 and 6). So we subtract 1 from 10.
Finding the difference The difference between the place values of 5 and 6 is calculated as follows: 10 − 1 = 9 So, the answer to the first question is 9.
Analyzing the second question For the second question, we need to find the smallest even number with 5 digits. The smallest 5-digit number is 10000. Since 10000 is an even number, it is the smallest even 5-digit number.
Identifying the smallest even 5-digit number The smallest 5-digit number is 10000. To determine if it's even, we check if it's divisible by 2. Since 10000 is divisible by 2 (10000 / 2 = 5000), it is an even number. Therefore, the smallest even 5-digit number is 10000.
Final Answer Therefore, the answers are: a) 9 b) 10000
Examples
Understanding place values and number properties like even numbers is crucial in everyday life. For instance, when dealing with money, knowing place values helps in quickly calculating totals and differences. Similarly, understanding even numbers is useful in scenarios like dividing items equally between two people or organizing events where pairs are needed.
The difference in the place values of 6 and 5 in 428356 is 9. The smallest even number with 5 digits is 10000. Therefore, the answers are 9 and 10000.
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