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4.28 and -3.28 are two numbers on a real number line if it 1 added to both the numbers then which of the following is true?Distance between the two new numbers is 2 units less than distances between 4.28 and -3.28Distance between the two new numbers is equal to the distances between 4.28 and -3.28Distance between the two new numbers is 2 units more than distances between 4.28 and -3.28None of the above

Question

4.28 and -3.28 are two numbers on a real number line if it 1 added to both the numbers then which of the following is true?Distance between the two new numbers is 2 units less than distances between 4.28 and -3.28Distance between the two new numbers is equal to the distances between 4.28 and -3.28Distance between the two new numbers is 2 units more than distances between 4.28 and -3.28None of the above

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Solution

The distance between two numbers on a real number line is the absolute difference between them.

  1. First, let's find the distance between 4.28 and -3.28. The distance is |4.28 - (-3.28)| = |4.28 + 3.28| = 7.56 units.

  2. If we add 1 to both numbers, we get 5.28 and -2.28.

  3. Now, let's find the distance between these two new numbers. The distance is |5.28 - (-2.28)| = |5.28 + 2.28| = 7.56 units.

So, the distance between the two new numbers is equal to the distance between 4.28 and -3.28. Therefore, the correct answer is "Distance between the two new numbers is equal to the distances between 4.28 and -3.28".

This problem has been solved

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