1.3 divided by 0.0338 step by step please
The Correct Answer and Explanation is:
To divide 1.3 by 0.0338 step by step, let’s break it down clearly:
- Write the Division Problem: 1.3÷0.03381.3 \div 0.03381.3÷0.0338
- Remove the Decimal Places:
To simplify the division, we can remove the decimal places by multiplying both the numerator (1.3) and the denominator (0.0338) by 10000. This ensures we’re working with whole numbers, which makes the calculation easier. Multiply numerator and denominator by 10000:\text{Multiply numerator and denominator by 10000:}Multiply numerator and denominator by 10000: 1.3×100000.0338×10000=13000338\frac{1.3 \times 10000}{0.0338 \times 10000} = \frac{13000}{338}0.0338×100001.3×10000=33813000 So, now we are dividing 13000 by 338. - Perform the Division:
Now, you can perform the division of 13000 by 338: 13000÷338≈38.413000 \div 338 \approx 38.413000÷338≈38.4 So, the result of 1.3÷0.03381.3 \div 0.03381.3÷0.0338 is approximately 38.4.
Explanation:
- Step 1: We started with the division of 1.3 by 0.0338, which is a problem involving decimal numbers.
- Step 2: To avoid decimals, we multiplied both the numerator (1.3) and the denominator (0.0338) by 10000, which shifted the decimal places to the right for both numbers.
- Step 3: After making the numbers whole, we simply divided 13000 by 338 to get the final result of 38.4.
This method of removing decimals by multiplying both the numerator and the denominator by the same factor ensures that the division becomes much easier to handle without changing the result.
