In which number does one digit 6 have the value of 1/100 of the other digit 6?

Question

Clelia

Mathematics

14 October, 18:36

In which number does one digit 6 have the value of 1/100 of the other digit 6?

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Answers (1)

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Caitlyn Randall · Answer 1

6,702 = 6 thousands and 7 hundreds and 0 tens and 2 ones

= 6 * 1000 + 7 * 100 + 0 * 10 + 2 * 1

= 6000 + 700 + 2.

Above, we have written the number 6,702 in expanded form, or as a SUM of its different parts according to place value. The digit 6 in the number 6,702 actually has the value 6,000 and the digit 7 actually signifies the value 700. This is why our number system is also called a place value system, because the value of a digit (like 6 or 7 in our example) depends on its placement within the number. In other words, the digit 6 in 6702 does not mean six but six thousand, because the six is placed in the thousands' place. The place of a digit determines its value.