Find the difference of the place values of two sevens in $37,29,218$
Answer (2)
Identify the place values of the two sevens: ten millions ( 70 , 000 , 000 ) and ten thousands ( 70 , 000 ).
Calculate the difference between the place values: 70 , 000 , 000 − 70 , 000 .
Perform the subtraction: 70 , 000 , 000 − 70 , 000 = 69 , 930 , 000 .
State the final answer: 69 , 930 , 000 .
Explanation
Problem Analysis We are asked to find the difference between the place values of the two sevens in the number 37 , 29 , 218 . Let's identify the place values of these sevens.
Place Value of the First Seven The first seven is in the ten millions place. Therefore, its place value is 70 , 000 , 000 .
Place Value of the Second Seven The second seven is in the ten thousands place. Therefore, its place value is 70 , 000 .
Finding the Difference Now, we need to find the difference between these two place values. That is, we need to calculate 70 , 000 , 000 − 70 , 000 .
Calculating the Difference Performing the subtraction, we get: 70 , 000 , 000 − 70 , 000 = 69 , 930 , 000 So, the difference between the place values of the two sevens is 69 , 930 , 000 .
Final Answer Therefore, the difference of the place values of the two sevens in the number 37 , 29 , 218 is 69 , 930 , 000 .
Examples
Understanding place value is crucial in many real-life situations. For instance, when dealing with large sums of money, such as lottery winnings or company profits, knowing the place value of each digit helps in accurate accounting and financial planning. Imagine winning a lottery of $37,29,218; understanding that the '7' in the ten millions place represents $70,000,000 and the '7' in the ten thousands place represents $70,000 helps you appreciate the magnitude of your win and manage it wisely. The difference between these values, $69,930,000, highlights the significant impact of each digit's position.
The difference of the place values of the two sevens in 37,29,218 is found by identifying their respective values in the ten million and ten thousand places. The calculated difference is 69,930,000. Thus, the final answer is 69 , 930 , 000 .
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