Estimation Worksheets | Dynamically Created Estimation Worksheets ... - Free Printable

Problem Overview:

The task involves estimating the product of two numbers by rounding each number to the nearest ten and then calculating the actual product. This exercise helps in understanding estimation techniques and comparing them with exact calculations.

Steps to Solve:

1. Round Each Number to the Nearest Ten:
- Identify the digit in the ones place.
- If it is 5 or greater, round up; if it is less than 5, round down.

2. Estimate the Product:
- Multiply the rounded numbers to get an estimated product.

3. Calculate the Actual Product:
- Multiply the original (unrounded) numbers to get the exact product.

Solution for Each Problem:

#### Problem 1:
- Original Numbers: \( 874 \times 467 \)
- Rounded Numbers: \( 870 \times 470 \)
- Estimated Product: \( 870 \times 470 = 408,900 \)
- Actual Product: \( 874 \times 467 = 408,158 \)

#### Problem 2:
- Original Numbers: \( 847 \times 273 \)
- Rounded Numbers: \( 850 \times 270 \)
- Estimated Product: \( 850 \times 270 = 229,500 \)
- Actual Product: \( 847 \times 273 = 231,031 \)

#### Problem 3:
- Original Numbers: \( 453 \times 811 \)
- Rounded Numbers: \( 450 \times 810 \)
- Estimated Product: \( 450 \times 810 = 364,500 \)
- Actual Product: \( 453 \times 811 = 366,683 \)

#### Problem 4:
- Original Numbers: \( 547 \times 174 \)
- Rounded Numbers: \( 550 \times 170 \)
- Estimated Product: \( 550 \times 170 = 93,500 \)
- Actual Product: \( 547 \times 174 = 94,938 \)

#### Problem 5:
- Original Numbers: \( 196 \times 889 \)
- Rounded Numbers: \( 200 \times 890 \)
- Estimated Product: \( 200 \times 890 = 178,000 \)
- Actual Product: \( 196 \times 889 = 174,244 \)

#### Problem 6:
- Original Numbers: \( 573 \times 679 \)
- Rounded Numbers: \( 570 \times 680 \)
- Estimated Product: \( 570 \times 680 = 387,600 \)
- Actual Product: \( 573 \times 679 = 388,827 \)

#### Problem 7:
- Original Numbers: \( 748 \times 146 \)
- Rounded Numbers: \( 750 \times 150 \)
- Estimated Product: \( 750 \times 150 = 112,500 \)
- Actual Product: \( 748 \times 146 = 109,008 \)

#### Problem 8:
- Original Numbers: \( 761 \times 535 \)
- Rounded Numbers: \( 760 \times 540 \)
- Estimated Product: \( 760 \times 540 = 410,400 \)
- Actual Product: \( 761 \times 535 = 406,985 \)

#### Problem 9:
- Original Numbers: \( 531 \times 637 \)
- Rounded Numbers: \( 530 \times 640 \)
- Estimated Product: \( 530 \times 640 = 339,200 \)
- Actual Product: \( 531 \times 637 = 338,187 \)

#### Problem 10:
- Original Numbers: \( 135 \times 151 \)
- Rounded Numbers: \( 140 \times 150 \)
- Estimated Product: \( 140 \times 150 = 21,000 \)
- Actual Product: \( 135 \times 151 = 20,385 \)

#### Problem 11:
- Original Numbers: \( 149 \times 155 \)
- Rounded Numbers: \( 150 \times 160 \)
- Estimated Product: \( 150 \times 160 = 24,000 \)
- Actual Product: \( 149 \times 155 = 23,095 \)

#### Problem 12:
- Original Numbers: \( 689 \times 169 \)
- Rounded Numbers: \( 690 \times 170 \)
- Estimated Product: \( 690 \times 170 = 117,300 \)
- Actual Product: \( 689 \times 169 = 117,041 \)

#### Problem 13:
- Original Numbers: \( 684 \times 584 \)
- Rounded Numbers: \( 680 \times 580 \)
- Estimated Product: \( 680 \times 580 = 394,400 \)
- Actual Product: \( 684 \times 584 = 399,696 \)

#### Problem 14:
- Original Numbers: \( 181 \times 924 \)
- Rounded Numbers: \( 180 \times 920 \)
- Estimated Product: \( 180 \times 920 = 165,600 \)
- Actual Product: \( 181 \times 924 = 167,484 \)

Final Answer:

\[
\boxed{
\begin{array}{ll}
1) & \text{Estimated: } 408,900, \text{ Actual: } 408,158 \\
2) & \text{Estimated: } 229,500, \text{ Actual: } 231,031 \\
3) & \text{Estimated: } 364,500, \text{ Actual: } 366,683 \\
4) & \text{Estimated: } 93,500, \text{ Actual: } 94,938 \\
5) & \text{Estimated: } 178,000, \text{ Actual: } 174,244 \\
6) & \text{Estimated: } 387,600, \text{ Actual: } 388,827 \\
7) & \text{Estimated: } 112,500, \text{ Actual: } 109,008 \\
8) & \text{Estimated: } 410,400, \text{ Actual: } 406,985 \\
9) & \text{Estimated: } 339,200, \text{ Actual: } 338,187 \\
10) & \text{Estimated: } 21,000, \text{ Actual: } 20,385 \\
11) & \text{Estimated: } 24,000, \text{ Actual: } 23,095 \\
12) & \text{Estimated: } 117,300, \text{ Actual: } 117,041 \\
13) & \text{Estimated: } 394,400, \text{ Actual: } 399,696 \\
14) & \text{Estimated: } 165,600, \text{ Actual: } 167,484 \\
\end{array}
}
\]