what is the remainder of 47 divided by 6 with array
The Correct Answer and Explanation is:
To find the remainder of 47 divided by 6, let’s break it down step by step, using the concept of division and remainders.
Steps for Division:
- First, divide 47 by 6.
- 6 fits into 47 a total of 7 times because 6×7=426 \times 7 = 426×7=42. This is the closest we can get without exceeding 47.
- Second, subtract 424242 from 474747 to find the remainder.
- 47−42=547 – 42 = 547−42=5.
So, the remainder when 47 is divided by 6 is 5.
Explanation of Remainders:
- When dividing two numbers, the remainder is what is left over after performing the division. It can be thought of as the “extra part” that doesn’t fit into the whole division.
- In this case, after dividing 47 by 6, the closest multiple of 6 is 42, and the leftover part is 5. Therefore, we say the remainder is 5.
To visualize with an array:
An array approach would be a representation of how 47 can be split into groups of 6, with the remainder forming the last group:
- Divide the number 47 into 7 full groups of 6 (since 6×7=426 \times 7 = 426×7=42).
- Each group represents a multiple of 6.
- After dividing 47 into these 7 groups, we have 5 left, which is the remainder.
Thus, 47÷6=747 \div 6 = 747÷6=7 with a remainder of 555.
Conclusion:
The remainder when 47 is divided by 6 is 5.
