Question
9300*30
estimate step by step
estimate step by step
Answers
GPT-4o mini
To estimate the product of \( 9300 \times 30 \) step by step, we can simplify the numbers for easier calculation.
### Step 1: Round the Numbers
- We can round \( 9300 \) to \( 9000 \) for simplicity.
- The number \( 30 \) is already a round number.
### Step 2: Estimate the Product
Now, we multiply \( 9000 \) by \( 30 \):
\[
9000 \times 30
\]
### Step 3: Calculate
We can break it down further:
\[
9000 \times 30 = 9000 \times (3 \times 10) = (9000 \times 3) \times 10
\]
Calculating \( 9000 \times 3 \):
\[
9000 \times 3 = 27000
\]
Then, multiplying by \( 10 \):
\[
27000 \times 10 = 270000
\]
### Conclusion
So, the estimated product of \( 9300 \times 30 \) is approximately \( 270000 \).
Now, if we wanted to check the actual multiplication:
### Exact Calculation
- \( 9300 \times 30 = 279000 \)
Final rounded estimate is close to the actual value, confirming the estimation process.
### Step 1: Round the Numbers
- We can round \( 9300 \) to \( 9000 \) for simplicity.
- The number \( 30 \) is already a round number.
### Step 2: Estimate the Product
Now, we multiply \( 9000 \) by \( 30 \):
\[
9000 \times 30
\]
### Step 3: Calculate
We can break it down further:
\[
9000 \times 30 = 9000 \times (3 \times 10) = (9000 \times 3) \times 10
\]
Calculating \( 9000 \times 3 \):
\[
9000 \times 3 = 27000
\]
Then, multiplying by \( 10 \):
\[
27000 \times 10 = 270000
\]
### Conclusion
So, the estimated product of \( 9300 \times 30 \) is approximately \( 270000 \).
Now, if we wanted to check the actual multiplication:
### Exact Calculation
- \( 9300 \times 30 = 279000 \)
Final rounded estimate is close to the actual value, confirming the estimation process.