When you multiply 7 by itself, what is the product?
The Correct Answer and Explanation is:
The product of multiplying 7 by itself is 49.
Here’s a breakdown of the process:
Multiplying a number by itself is known as squaring the number. When you square a number, you are essentially multiplying it by the number itself. So, in this case:7×7=497 \times 7 = 497×7=49
This is the product of 7 multiplied by itself.
Explanation:
To better understand why 7 multiplied by 7 gives 49, we can break it down step by step:
- Start with the number 7.
- Now, perform the multiplication: multiply 7 by itself, which can also be viewed as adding 7 seven times.
7+7+7+7+7+7+7=497 + 7 + 7 + 7 + 7 + 7 + 7 = 497+7+7+7+7+7+7=49
This shows that multiplying 7 by itself is the same as adding 7 a total of seven times.
Visualizing with an example:
If you think of the number 7 as the side length of a square, then the area of the square (which is a way of representing multiplication of two numbers) would be calculated as:Area of square=side×side=7×7=49\text{Area of square} = \text{side} \times \text{side} = 7 \times 7 = 49Area of square=side×side=7×7=49
This concept is used in many mathematical operations, especially when dealing with geometry or algebra.
Multiplying numbers in this way, especially squaring, is a fundamental concept that leads to more complex topics in math, like powers and exponents.
So, the product of multiplying 7 by itself is 49, and this process is a key concept in basic arithmetic.
