Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Ask your questions and receive precise answers from experienced professionals across different disciplines. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

MATH

Estimate the product of the two numbers by rounding to the nearest 10 and multiplying. After writing your estimation, calculate the correct answer.

Equation:
[tex]\[34 \times 61\][/tex]

Estimate:
[tex]\[ \text{(Rounded to the nearest 10)} \][/tex]

Answer:
[tex]\[ \text{(Estimated product)} \][/tex]

Correct Answer:
[tex]\[ \text{(Exact product)} \][/tex]

Difference between Estimate and Correct Answer:
[tex]\[ \text{(Difference between estimated product and exact product)} \][/tex]

Sagot :

GinnyAnswer
Certainly! Let's approach this problem step-by-step:

### Step 1: Estimate the Numbers to the Nearest 10

First, we need to round each of the numbers involved to the nearest ten.
- The number 34 rounded to the nearest ten is 30.
- The number 61 rounded to the nearest ten is 60.

So, the estimated numbers are 30 and 60.

### Step 2: Calculate the Estimated Product

Next, we multiply the estimated numbers:
[tex]\[ 30 \times 60 = 1800 \][/tex]

So, the estimated product is 1800.

### Step 3: Calculate the Correct Product

Now, let's find the actual product of the original numbers:
[tex]\[ 34 \times 61 = 2074 \][/tex]

So, the correct product is 2074.

### Step 4: Calculate the Difference Between the Estimated and Correct Products

Finally, we find the absolute difference between the estimated product and the correct product:
[tex]\[ |1800 - 2074| = 274 \][/tex]

So, the difference between the estimated product and the correct product is 274.

### Summary

- Estimate: 1800
- Correct Answer: 2074
- Difference Between Estimate and Correct Answer: 274

So, we have the following summary:
- Estimated Product: 1800
- Correct Product: 2074
- Difference: 274
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.