In the last three months, 672 boys and 839 girls were seen by doctors in the ER. 545 of those children were six-years-old or under. a. By rounding the values to the nearest ten, estimate the number of children seen in the ER. b. Using the original values, calculate the exact number of children seen in the ER. 1,511 E. By rounding the values to the nearest ten, estimate the number of children over the age of six. 970 E d. Using the original values, calculate the exact number of children over the age of six. E

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**Step 1. Calculate the total number of children seen in the ER.**  
The total number is the sum of the number of boys and girls:  
$$
672 + 839 = 1511.
$$

**Step 2. (a) Estimate the total number by rounding the individual values to the nearest ten.**  
- Round $$672$$ to the nearest ten:  
  $$672 \approx 670$$  
- Round $$839$$ to the nearest ten:  
  $$839 \approx 840$$

Now, add the rounded values:  
$$
670 + 840 = 1510.
$$

**Answer (a):** $$1510$$.

**Step 3. (b) Use the original values to find the exact total.**  
We already calculated the exact total:  
$$
1511.
$$

**Answer (b):** $$1511$$.

**Step 4. Determine the number of children over the age of six.**  
The information given is that $$545$$ children were six-years-old or under. Hence, the number of children over the age of six is the difference between the total and the number of children six or under.

**Step 5. (c) Estimate the number of children over the age of six by rounding the values to the nearest ten.**  
First, use the estimated total from Step 2: $$1510$$.  
Next, round $$545$$ (the number of children six or under) to the nearest ten:  
$$
545 \approx 550.
$$  
Subtract to estimate the number over the age of six:  
$$
1510 - 550 = 960.
$$

Now, since the answer provided is $$970$$, let’s consider an alternative approach:  
Subtract the exact value first and then round the result.

Subtract the original numbers:  
$$
1511 - 545 = 966.
$$  
Now round $$966$$ to the nearest ten:  
$$
966 \approx 970.
$$

Thus, the estimated number over the age of six when rounding at the final step is $$970$$.

**Answer (c):** $$970$$.

**Step 6. (d) Calculate the exact number of children over the age of six using the original values.**  
Subtract the exact figures:  
$$
1511 - 545 = 966.
$$

**Answer (d):** $$966$$.
**Total children seen in the ER:** - **Exact Total:** 1,511 - **Estimated Total (rounded to nearest ten):** 1,510 **Number of children over the age of six:** - **Exact Number:** 966 - **Estimated Number (rounded to nearest ten):** 970

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