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What is the value of the digit 7 in 10,709?

B. What is the value of the digit 7 in 17,009?

C. The value of the digit 7 in 17,009 is how many times greater than the digit 7 in 10,709?

User Stackex
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1 Answer

5 votes

Answer:

  • 700
  • 7,000
  • 10

Explanation:

You can answer these "what is the value of the digit ..." questions by setting all other digits in the number to zero.

A) The value of the 7 in 10,709 is 700.

B) The value of the 7 in 17,009 is 7,000.

C) 7000 is ten times as great as 700. (7000/700 = 10)

_____

The point of a "place value" number system is that the value of the number depends on its place in the number. Each such number system has a "base." For a decimal number, the base is ten.

The value of a digit in any place value number system increases by a factor equal to the base when that digit is moved 1 place to the left.

Here, the 7 in the second number is 1 place to the left of the 7 in the first number, so its value is increased by a factor of 10.

User Nmjohn
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