Divide by 3 Worksheet

Are you searching for a helpful educational resource to assist your students in mastering division? Look no further! Our Divide by 3 Worksheet is the perfect tool to engage young learners and reinforce their understanding of division. Designed for elementary school students, this worksheet provides a structured platform to practice dividing numbers by 3, targeting a specific subject for enhanced learning outcomes.

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What is the definition of division?

Division is an arithmetic operation that involves splitting a quantity into equal parts or groups to determine how many times one number is contained within another number, resulting in the quotient.

How do you divide a number by 3?

To divide a number by 3, you simply need to divide the number by 3 using long division or a calculator. Just take the number you want to divide and divide it by 3 to find the quotient or result of the division.

Give an example of a number that is divisible by 3.

An example of a number that is divisible by 3 is 27, because when divided by 3, the result is a whole number without any remainder.

What is the quotient when 9 is divided by 3?

The quotient when 9 is divided by 3 is 3.

Explain why any multiple of 3 is always evenly divisible by 3.

Any multiple of 3 is always evenly divisible by 3 because when you multiply any number by 3, you are essentially adding that number to itself three times. This means that the result will always contain a factor of 3, making it divisible by 3 without any remainder. Thus, any multiple of 3 will always be evenly divisible by 3.

How can you check if a number is divisible by 3 without actually dividing it?

To check if a number is divisible by 3 without dividing it, you can add up all the digits of the number. If the sum is divisible by 3, then the original number is also divisible by 3. For example, if we have the number 276, we would add 2 + 7 + 6 = 15. Since 15 is divisible by 3, we can conclude that 276 is also divisible by 3.

Describe the remainder when dividing 11 by 3.

The remainder when dividing 11 by 3 is 2.

What is the significance of the digit sum when determining divisibility by 3?

The significance of the digit sum when determining divisibility by 3 is that a number is divisible by 3 if the sum of its digits is also divisible by 3. This property makes it easier and quicker to check divisibility by 3 without having to perform long division or multiplication. It is a useful shortcut for determining divisibility of numbers by 3 in mental math calculations.

Explain why the result of dividing any prime number by 3 will always have a non-repeating decimal.

When a prime number is divided by 3, the result will always have a non-repeating decimal because 3 is a prime number itself and is not a factor of any other prime number. This means that when dividing a prime number by 3, there will be no common factors or repeating patterns in the decimal expansion, resulting in a non-repeating decimal.

Can you think of a real-life example where dividing by 3 is useful?

One real-life example where dividing by 3 is useful is in recipe measurements. When adjusting ingredient amounts to scale a recipe up or down, dividing the original measurements by 3 can help accurately calculate the adjusted quantities. This is particularly helpful when dealing with fractions or decimals in recipes and ensures that the correct proportions of ingredients are maintained.