Question
Multiplying Decimals: (1.003)(2.4) = 2.4072
Answers
GPT-4o mini
To multiply the decimals 1.003 and 2.4, let's perform the multiplication step by step.
1. **Ignore the decimals** for now and multiply the numbers as if they were whole numbers:
\[
1003 \times 24 = 24072
\]
2. **Count the total number of decimal places** in the original numbers:
- 1.003 has 3 decimal places.
- 2.4 has 1 decimal place.
- Total = 3 + 1 = 4 decimal places.
3. **Place the decimal in the result**: From the multiplication result of 24072, we need to place the decimal point to give us 4 decimal places:
\[
24072 \rightarrow 2.4072
\]
Therefore, the correct result of multiplying \( (1.003)(2.4) \) is \( 2.4072 \). Your initial calculation was correct.
1. **Ignore the decimals** for now and multiply the numbers as if they were whole numbers:
\[
1003 \times 24 = 24072
\]
2. **Count the total number of decimal places** in the original numbers:
- 1.003 has 3 decimal places.
- 2.4 has 1 decimal place.
- Total = 3 + 1 = 4 decimal places.
3. **Place the decimal in the result**: From the multiplication result of 24072, we need to place the decimal point to give us 4 decimal places:
\[
24072 \rightarrow 2.4072
\]
Therefore, the correct result of multiplying \( (1.003)(2.4) \) is \( 2.4072 \). Your initial calculation was correct.