What is the shortcut for multiplying a number by 5 when the number is ...
The shortcut for multiplying a number by 5 when the number is even is to divide the number by 2 to get the tens digit, and the ones digit will always be 0. For example, to multiply 4 by 5, you can divide 4 by 2 to get 2, and the answer is 20.
What is the shortcut for multiplying a number by 5 when the number is ...
Multiplying a number by 5 when the number is even
To find the shortcut for multiplying a number by 5 when the number is even, we need to understand the properties of even numbers and how they can be manipulated.
Properties of even numbers:
1. Even numbers are divisible by 2.
2. When an even number is divided by 2, it results in another even number.
Shortcut for multiplying a number by 5:
The shortcut for multiplying an even number by 5 is to divide the number by 2 and then multiply the result by 10. This can be explained as follows:
1. Divide the number by 2:
Since the number is even, it is divisible by 2. Dividing the number by 2 essentially means splitting it into two equal parts.
2. Multiply the result by 10:
Multiplying the result of the division by 10 effectively increases the value by a factor of 10, which is equivalent to multiplying by 5.
Example:
Let's take the even number 8 as an example.
1. Divide the number by 2:
8 divided by 2 equals 4.
2. Multiply the result by 10:
Multiplying 4 by 10 gives us 40.
Therefore, when we multiply the even number 8 by 5 using the shortcut, we get 40 as the result.
Explanation:
The shortcut of dividing the even number by 2 and then multiplying by 10 works because dividing by 2 gives us half of the original number, and multiplying by 10 gives us the result multiplied by 5.
By using this shortcut, we can avoid performing the lengthy multiplication calculation and quickly arrive at the desired result of multiplying the even number by 5.
Conclusion:
The shortcut for multiplying a number by 5 when the number is even is to divide the number by 2 and then multiply the result by 10. This shortcut is based on the properties of even numbers and allows for a quicker calculation.
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