49 divided by what gives you 7
The Correct Answer and Explanation is:
Answer:
49 divided by 7 gives you 7.
Mathematically:
49÷7=749 \div 7 = 749÷7=7
Explanation
To understand how 49 divided by a certain number results in 7, we need to explore the concept of division in mathematics. Division is one of the four basic operations in arithmetic. It refers to splitting a quantity into equal parts. When we say “49 divided by what gives you 7,” we are essentially asking: “Into how many equal parts must we divide 49 so that each part equals 7?”
Let us denote the unknown number as “x.”
So, the equation becomes:
49 ÷ x = 7
To find x, we can rearrange this equation using multiplication. If:
49 ÷ x = 7, then it must also be true that:
x × 7 = 49
Now, solve for x:
x = 49 ÷ 7 = 7
Therefore, the number we are looking for is 7. This tells us that if you divide 49 by 7, you get 7.
Let us verify this with multiplication, since multiplication and division are inverse operations. When you multiply 7 by 7, you get 49. This confirms our solution is correct.
This process highlights how division works in reverse to multiplication. By understanding the relationship between these two operations, we can solve such problems easily. Division can be thought of as asking how many times one number fits into another. In this case, how many times does 7 fit into 49? The answer is 7 times.
Understanding this helps build number sense and strengthens problem-solving skills. It also demonstrates how arithmetic operations are connected. This foundation is important in many areas of math and real-life problem solving, such as budgeting, measuring, and dividing items evenly.
