Estimating and rounding word problem worksheets for grade 5 | Worsheets library... - Free Printable

Problem 1:

There are about 795 houses in this region. The average family size is 6 people. There are about ________ people living in the region.

#### Solution:
To estimate the total number of people living in the region, we multiply the number of houses by the average family size.

- Number of houses = 795
- Average family size = 6

\[
\text{Total people} = \text{Number of houses} \times \text{Average family size}
\]
\[
\text{Total people} = 795 \times 6
\]

Perform the multiplication:
\[
795 \times 6 = 4770
\]

Since the question asks for an estimate, we can round 4770 to the nearest thousand or a reasonable approximation. The closest option to 4770 is 4,800.

#### Final Answer:
\[
\boxed{a. \, 4,800}
\]

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Problem 2:

In a town, there are 1,349 families. If there are an average two children attending elementary school from each family and each school can accommodate 220 children, the minimum number of elementary schools needed in the region is ________.

#### Solution:
1. Calculate the total number of children attending elementary school:
- Number of families = 1,349
- Average number of children per family = 2

\[
\text{Total children} = \text{Number of families} \times \text{Average children per family}
\]
\[
\text{Total children} = 1,349 \times 2 = 2,698
\]

2. Determine the number of schools needed:
- Each school can accommodate 220 children.
- To find the minimum number of schools, divide the total number of children by the capacity of one school and round up (since you can't have a fraction of a school).

\[
\text{Number of schools} = \lceil \frac{\text{Total children}}{\text{Capacity per school}} \rceil
\]
\[
\text{Number of schools} = \lceil \frac{2,698}{220} \rceil
\]

Perform the division:
\[
\frac{2,698}{220} \approx 12.2636
\]

Since we need a whole number of schools and cannot have a fraction of a school, we round up to the next whole number:
\[
\lceil 12.2636 \rceil = 13
\]

#### Final Answer:
\[
\boxed{c. \, 13}
\]

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Problem 3:

In 2017, a survey finds that there are 34 babies born for every 1,000 families in a city. Among these babies, 20 of them are boys. There are 88,326 families in this city in 2017, and the total number of girls born in this year is about ________.

#### Solution:
1. Calculate the total number of babies born:
- Babies born per 1,000 families = 34
- Total families = 88,326

First, find the number of babies per family:
\[
\text{Babies per family} = \frac{34}{1,000} = 0.034
\]

Now, calculate the total number of babies:
\[
\text{Total babies} = \text{Total families} \times \text{Babies per family}
\]
\[
\text{Total babies} = 88,326 \times 0.034
\]

Perform the multiplication:
\[
88,326 \times 0.034 = 2,999.084
\]

Round to the nearest whole number:
\[
\text{Total babies} \approx 3,000
\]

2. Determine the number of girls born:
- Among the babies, 20 are boys, so the remaining are girls.
- Ratio of boys to total babies = 20 out of 34.

Calculate the ratio of girls:
\[
\text{Ratio of girls} = 1 - \frac{\text{Boys}}{\text{Total babies}}
\]
\[
\text{Ratio of girls} = 1 - \frac{20}{34} = \frac{14}{34} = \frac{7}{17}
\]

Now, calculate the total number of girls:
\[
\text{Total girls} = \text{Total babies} \times \text{Ratio of girls}
\]
\[
\text{Total girls} = 3,000 \times \frac{7}{17}
\]

Perform the multiplication:
\[
3,000 \times \frac{7}{17} = \frac{21,000}{17} \approx 1,235.29
\]

Round to the nearest whole number:
\[
\text{Total girls} \approx 1,235
\]

The closest option to 1,235 is 1,200.

#### Final Answer:
\[
\boxed{a. \, 1,200}
\]

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Summary of Answers:

1. \(\boxed{a. \, 4,800}\)
2. \(\boxed{c. \, 13}\)
3. \(\boxed{a. \, 1,200}\)