Final answer:
When dividing 0.0049 by 0.041, and rounding to three significant figures, the answer is 0.120. This does not match any of the four options provided, suggesting an error in the options or the need to recheck the calculation.
Step-by-step explanation:
To calculate the division of two decimal numbers, 0.0049 ÷ 0.041, the first step is to perform the division as you would with whole numbers.
First, you can remember that when you divide by a decimal, you can make it easier by 'removing' the decimal from the divisor (in this case, 0.041) by multiplying both the divisor and the dividend by the same power of 10. This will give you whole numbers, making the division simpler.
So, multiply both 0.0049 and 0.041 by 1000 (since 0.041 has three decimal places) to get:
- 0.0049 × 1000 = 4.9
- 0.041 × 1000 = 41
After multiplying, the division becomes 4.9 ÷ 41. By using a calculator or performing the long division, you get an answer of approximately 0.1195121951.
When rounding 0.1195121951 to three significant figures, the answer is 0.120. This is different from any of the choices listed in the original question, indicating that there might be either a mistake in the choices provided or in the calculation, so it's important to double-check the initial question and the calculation before selecting an answer.