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zhenek
7 days ago
14

11 Points Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600

Mathematics
1 answer:
Zina [12.3K]7 days ago
7 0

Response:

Average = 2000

Step-by-step breakdown:

The numbers provided are:

1,000 2,300 2,600

To calculate the average:

Initially, round each number to the nearest 1000, then determine the average.

Solution:

1000 is already rounded, so it stays the same.

To round to the nearest thousand, check the hundred's digit.

  • If the hundred’s digit exceeds 5, the thousand’s digit increases by 1, and the hundred’s digit is set to 0.
  • If it’s less than 5, the thousand’s digit remains the same, changing the hundred’s digit to 0.

Thus, 2300 rounds to 2000.

and 2600 rounds to 3000.

Consequently, the numbers for averaging are 1000, 2000, 3000.

The formula for average is as follows:

Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}

upon applying the formula:

Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}

So, the average after rounding to the nearest 1000 is 2000.

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