Question

How many times larger is the 7 in the number 7042 than the 7 in the number 427?

Answer 1

Answer:

  1000

Step-by-step explanation:

To find the value of a digit in a number, set all the other digits to zero.

The value of 7 in 7042 is 7000.

The value of 7 in 427 is 007 = 7.

Then the question is "how many times larger is 7000 than 7?" That result is found by dividing 7000 by 7:

  7000/7 = 1000

The 7 in 7042 is 1000 times larger than the 7 in 427.

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Another way to consider this

The 7 in 7042 is in the "thousands" place. The 7 in 427 is in the "ones" place. The thousands place is 3 places to the left of the ones place. Each place moved to the left increases the value by a factor of 10, so the value of a digit in the thousands place is 10×10×10 = 1000 times that of the same digit in the ones place.