Question

Find the quotient. Show how the decimal point is moved in the divisor and the dividend. Check by multiplication. Write your answers in your notebook.

1. 0.03 √10.40
2. 0.04 √30.12
3. 0.05 √20.23
4. 0.06 √25.17
5. 0.07 √51.42

Answer 1

The question requires finding the quotient for a set of decimal division problems, moving the decimal points to transform the divisor and dividend into whole numbers, and then checking the answers by multiplication. It also needs attention to significant figures while presenting the final results.

option A is the correct

Step-by-step explanation:

The question involves finding the quotient of a series of decimal division problems. When dividing decimals, it is essential to move the decimal point in both the divisor and the dividend ensuring they are whole numbers before proceeding with the division. To check the answer, one can multiply the quotient by the divisor to see if it equals the dividend. This involves understanding of place value as well as multiplication and division of decimals and is closely related to operations with powers of 10.

For example, to calculate the quotient of 0.03 √ 10.4 would involve moving the decimal two places to the right for both numbers to get 3 √ 1040, then performing the division. To check, you'd multiply the resultant quotient by 3 to see if you get 1040.

Applying the rule of multiplication and division with significant figures is also important when reporting the final answer. This ensures that the precision of the result is correctly represented based on the figures that are significant in the problem.