Answer :
To multiply 37.9 by 12.29, you can follow these steps:
1. Understand the Numbers: We have two decimal numbers, 37.9 and 12.29.
2. Estimate the Product: Before multiplying, estimate to have an idea of what the answer might look like. You can round the numbers: 37.9 is close to 38, and 12.29 is close to 12. Multiplying 38 by 12 gives us about 456, so the final answer should be around this value.
3. Multiply the Whole Numbers: Ignore the decimal points for a moment and multiply 379 by 1229 as if they are whole numbers.
4. Multiply Step by Step:
- First, multiply 379 by 9.
- Then multiply 379 by 20 (since we split 29 into 20 + 9).
- Similarly, multiply 379 by 200 and by 1000 (from 1229 = 1000 + 200 + 20 + 9).
5. Add Up the Parts: Add the results of these individual multiplications together to get the full product of 379 and 1229.
6. Adjust for Decimals: Since we ignored the decimal places at the start, we have multiplied 37.9 by 10 (giving 379) and 12.29 by 100 (giving 1229). Therefore, we need to divide the final product by 1000 (10 * 100) to account for the two decimal places correctly.
By performing the multiplication with careful attention to where the decimal points are, the product of 37.9 and 12.29 is approximately 465.79, when rounded to two decimal places.
1. Understand the Numbers: We have two decimal numbers, 37.9 and 12.29.
2. Estimate the Product: Before multiplying, estimate to have an idea of what the answer might look like. You can round the numbers: 37.9 is close to 38, and 12.29 is close to 12. Multiplying 38 by 12 gives us about 456, so the final answer should be around this value.
3. Multiply the Whole Numbers: Ignore the decimal points for a moment and multiply 379 by 1229 as if they are whole numbers.
4. Multiply Step by Step:
- First, multiply 379 by 9.
- Then multiply 379 by 20 (since we split 29 into 20 + 9).
- Similarly, multiply 379 by 200 and by 1000 (from 1229 = 1000 + 200 + 20 + 9).
5. Add Up the Parts: Add the results of these individual multiplications together to get the full product of 379 and 1229.
6. Adjust for Decimals: Since we ignored the decimal places at the start, we have multiplied 37.9 by 10 (giving 379) and 12.29 by 100 (giving 1229). Therefore, we need to divide the final product by 1000 (10 * 100) to account for the two decimal places correctly.
By performing the multiplication with careful attention to where the decimal points are, the product of 37.9 and 12.29 is approximately 465.79, when rounded to two decimal places.
