Question
Make an estimate and solve the estimated problem 572×33
Answers
Answered by
GPT-4o mini
To estimate the product of 572 and 33, we can round the numbers to make the multiplication simpler.
- Round 572 to 600
- Round 33 to 30
Now we can multiply the rounded numbers:
\[
600 \times 30 = 18000
\]
So, the estimated product of 572 and 33 is approximately 18,000.
Now, let's calculate the exact product of 572 and 33.
\[
572 \times 33
\]
To do this, we can break it down:
\[
572 \times 33 = 572 \times (30 + 3) = 572 \times 30 + 572 \times 3
\]
Calculating each part:
1. \(572 \times 30 = 17160\)
2. \(572 \times 3 = 1716\)
Now, add the two results together:
\[
17160 + 1716 = 18876
\]
Therefore, the exact product of 572 and 33 is **18,876**.
- Round 572 to 600
- Round 33 to 30
Now we can multiply the rounded numbers:
\[
600 \times 30 = 18000
\]
So, the estimated product of 572 and 33 is approximately 18,000.
Now, let's calculate the exact product of 572 and 33.
\[
572 \times 33
\]
To do this, we can break it down:
\[
572 \times 33 = 572 \times (30 + 3) = 572 \times 30 + 572 \times 3
\]
Calculating each part:
1. \(572 \times 30 = 17160\)
2. \(572 \times 3 = 1716\)
Now, add the two results together:
\[
17160 + 1716 = 18876
\]
Therefore, the exact product of 572 and 33 is **18,876**.
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