Question
6321 Estimate and then find the product when the sum of 4,789 and 589 is multiplied by 35 .
Ask by Christensen Carrillo. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
First, add 4,789 and 589 to get 5,378. Then, multiply 5,378 by 35 to find the exact product, which is 188,230. An estimate of the product is about 189,000.
Solution
Step 1: Find the sum.
4,789 + 589 = 4,789 + 500 + 89
= 5,289 + 89
= 5,378
Step 2: Estimate the product.
Round 5,378 to about 5,400.
Then, 5,400 × 35 ≈ 189,000.
Step 3: Find the exact product.
Multiply 5,378 by 35:
5,378 × 35 = 5,378 × (30 + 5)
= (5,378 × 30) + (5,378 × 5)
= 161,340 + 26,890
= 188,230
Final Answer:
The estimated product is about 189,000, and the exact product is 188,230.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
First, let's estimate the sum of 4,789 and 589. Rounding 4,789 to 4,800 and 589 to 600 gives us a rough sum of 4,800 + 600 = 5,400. Now, for the product, we multiply this estimated sum by 35: 5,400 × 35 ≈ 189,000. Now, let's calculate the exact values. The sum of 4,789 and 589 is 5,378. Now, multiplying this by 35 gives us 5,378 × 35 = 188,830. So, our estimated product was pretty close! 🎉
