QuestionEstimate the product of $20.17 \times 2.5$ by rounding for easy calculation, then compare it to the actual answer.

Studdy Solution

STEP 1

Assumptions1. The numbers to be multiplied are $20.17$ and $.5$ . We are asked to estimate the product by rounding the numbers to make the arithmetic easier3. After estimating, we will use a calculator to find the exact product and compare it with our estimate

STEP 2

First, let's round the numbers to make the multiplication easier. We can round $20.17$ to $20$ and $2.5$ to $$.
$20.17 \approx20$ $2.5 \approx$

STEP 3

Now, multiply the rounded numbers to estimate the product.
$Estimated\, Product =20 \\times3$

STEP 4

Calculate the estimated product.
$Estimated\, Product =20 \\times3 =60$

STEP 5

Next, use a calculator to find the exact product of $20.17$ and $2.5$ .
$Exact\, Product =20.17 \\times2.5$

STEP 6

Calculate the exact product.
$Exact\, Product =20.17 \\times2.5 =50.425$

STEP 7

Finally, compare the estimated product with the exact product. The difference between the two will tell us how reasonable our estimate is.
The estimated product is $60$ and the exact product is $50.425$ . The estimate is slightly higher than the exact product, but it is reasonable for a quick mental calculation.

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QuestionEstimate the product of $20.17 \times 2.5$ by rounding for easy calculation, then compare it to the actual answer.

Studdy Solution

STEP 1

Assumptions1. The numbers to be multiplied are $20.17$ and $.5$ . We are asked to estimate the product by rounding the numbers to make the arithmetic easier3. After estimating, we will use a calculator to find the exact product and compare it with our estimate

STEP 2

First, let's round the numbers to make the multiplication easier. We can round $20.17$ to $20$ and $2.5$ to $$.
$20.17 \approx20$ $2.5 \approx$

STEP 3

Now, multiply the rounded numbers to estimate the product.
$Estimated\, Product =20 \\times3$

STEP 4

Calculate the estimated product.
$Estimated\, Product =20 \\times3 =60$

STEP 5

Next, use a calculator to find the exact product of $20.17$ and $2.5$ .
$Exact\, Product =20.17 \\times2.5$

STEP 6

Calculate the exact product.
$Exact\, Product =20.17 \\times2.5 =50.425$

STEP 7

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QuestionEstimate the product of 20.17×2.520.17 \times 2.520.17×2.5 by rounding for easy calculation, then compare it to the actual answer.

Studdy Solution

STEP 1

Assumptions1. The numbers to be multiplied are 20.1720.1720.17 and .5.5.5 . We are asked to estimate the product by rounding the numbers to make the arithmetic easier3. After estimating, we will use a calculator to find the exact product and compare it with our estimate

STEP 2

First, let's round the numbers to make the multiplication easier. We can round 20.1720.1720.17 to 202020 and 2.52.52.5 to $$.20.17≈2020.17 \approx2020.17≈202.5≈2.5 \approx2.5≈

STEP 3

Now, multiply the rounded numbers to estimate the product.Estimated Product=20times3Estimated\, Product =20 \\times3EstimatedProduct=20times3

STEP 4

Calculate the estimated product.Estimated Product=20times3=60Estimated\, Product =20 \\times3 =60EstimatedProduct=20times3=60

STEP 5

Next, use a calculator to find the exact product of 20.1720.1720.17 and 2.52.52.5.Exact Product=20.17times2.5Exact\, Product =20.17 \\times2.5ExactProduct=20.17times2.5

STEP 6

Calculate the exact product.Exact Product=20.17times2.5=50.425Exact\, Product =20.17 \\times2.5 =50.425ExactProduct=20.17times2.5=50.425

STEP 7

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QuestionEstimate the product of $20.17 \times 2.5$ by rounding for easy calculation, then compare it to the actual answer.

Assumptions1. The numbers to be multiplied are $20.17$ and $.5$ . We are asked to estimate the product by rounding the numbers to make the arithmetic easier3. After estimating, we will use a calculator to find the exact product and compare it with our estimate

First, let's round the numbers to make the multiplication easier. We can round $20.17$ to $20$ and $2.5$ to $$.
$20.17 \approx20$ $2.5 \approx$

Now, multiply the rounded numbers to estimate the product.
$Estimated\, Product =20 \\times3$

Calculate the estimated product.
$Estimated\, Product =20 \\times3 =60$

Next, use a calculator to find the exact product of $20.17$ and $2.5$ .
$Exact\, Product =20.17 \\times2.5$

Calculate the exact product.
$Exact\, Product =20.17 \\times2.5 =50.425$