The number at option c) 5743 will decrease by 300 when the 7 in it is replaced by a 4. This is because 7 is in the hundred's place of the number.
What is the place value of digits in a number?
The digits in a number at a particular place have a value called place value. To know the place value of the multiply the digit and the value of the place that occupies the number.
The place values are of the order ones, tens, hundreds, thousands, ten thousand, and so on.
E.g.: 1234 = 1 × 1000 + 2 × 100 + 3 × 10 + 4 × 1
The digit 1 is at thousand's place and its place value is 1000
The digit 2 is at hundred's place and its place value is 200
The digit 3 is at ten's place and its place value is 30
The digit 4 at one's place and its value is 4
Calculation:
The number is decreased by 300 when 7 in it is replaced by a 4.
Since the required difference is in the hundreds, the digit 7 should be in the hundred's place of the number.
So, in the given numbers, option c) 5743 has the digit 7 at the hundred's place.
Replacing the number 7 by 4 we get: 5443
Subtracting both:
5743 - 5443 = 300
So, these two numbers differ by 300.
Hence, the number obtained by replacing 7 with 4 in the number 5743.
So, option C is correct.
Learn more about the place value of a number here:
https://brainly.com/question/559183
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