Subjects arithmetic

Rounding Estimation 8A5Eea

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem 1:** Round the numbers 17, 75, 152, and 496 to the nearest 10, then add to find the estimate. Find the exact sum and then find the average. 2. **Rounding to the nearest 10:** - 17 rounds to 20 - 75 rounds to 80 - 152 rounds to 150 - 496 rounds to 500 3. **Estimate sum:** $$20 + 80 + 150 + 500 = 750$$ 4. **Exact sum:** $$17 + 75 + 152 + 496 = 740$$ 5. **Average:** $$\text{Average} = \frac{\text{Exact sum}}{\text{Number of values}} = \frac{740}{4} = 185$$ --- 1. **Problem 2:** Round the numbers 1,344; 1,288; and 113 to the nearest 10, then add to find the estimate. Find the exact sum and then find the average. 2. **Rounding to the nearest 10:** - 1,344 rounds to 1,340 - 1,288 rounds to 1,290 - 113 rounds to 110 3. **Estimate sum:** $$1,340 + 1,290 + 110 = 2,740$$ 4. **Exact sum:** $$1,344 + 1,288 + 113 = 2,745$$ 5. **Average:** $$\text{Average} = \frac{2,745}{3} = 915$$ --- 1. **Problem 3:** The school office ordered 225 packages of address labels. Each package contains 740 labels. Round to the nearest 100 and estimate the total number of labels. 2. **Rounding:** - 225 rounds to 200 - 740 rounds to 700 3. **Estimate total labels:** $$200 \times 700 = 140,000$$ 4. **Exact total labels:** $$225 \times 740 = 166,500$$ --- **Summary:** - Problem 1 estimate sum: 750, exact sum: 740, average: 185 - Problem 2 estimate sum: 2,740, exact sum: 2,745, average: 915 - Problem 3 estimate total labels: 140,000, exact total labels: 166,500