Final answer:
Only the expressions 0.48 ÷ 0.08 and 4.8 ÷ 0.8 result in the quotient of 6. These two divisions yield the required result when evaluated, indicating the correct application of division and multiplication concepts.
Step-by-step explanation:
To find which expressions have a quotient of 6, we need to perform the division and compare the result to the number 6. Let's evaluate the given expressions:
- 0.48 ÷ 0.8 = 0.6
- 4.8 ÷ 8 = 0.6
- 0.48 ÷ 0.08 = 6
- 4.8 ÷ 0.8 = 6
- 4.8 ÷ 0.08 = 60
Only the expressions 0.48 ÷ 0.08 and 4.8 ÷ 0.8 result in the quotient of 6.
Dividing Numbers
When dividing numbers, to achieve a specific quotient, we can think of division as the inverse of multiplication. For instance, dividing by 8 is the same as multiplying by the reciprocal of 8. In expression d. 4.8 ÷ 0.8, this is what we effectively do.