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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]



Answer :

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

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