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Multiply and divide by 1 and multiply by 0 | Year 4 Mathematics PDF Download

Understanding Multiplying by 1

  • When you multiply by 1, the answer remains the same.
  • For example:
    1 × 21 = 21 or 21 × 1 = 21
    You can think of it as 21 lots of 1 or 1 lot of 21. Both equal 21.
    1 × a number = that number or a number × 1 = that number.
    This applies to any number, whether big, small, or negative!
  • For example:
    1 × 20,000 = 20,000
    1 × 2 = 2
    1 × -2 = -2
    A common mistake is to think that 1 × 1 = 2.
    1 plus 1 is 2, but 1 times 1 is 1.
    1 × 1 = 1

Dividing by 1

  • When you divide by 1, the answer remains the same!
  • For example:
    21 ÷ 1 = 21
    Imagine dividing 21 into groups of 1. You would have 21 groups.
    Multiply and divide by 1 and multiply by 0 | Year 4 MathematicsOr think of sharing 21 carrots with 1 bear. The bear would get all 21 carrots.
    That applies to any number, whether big, small, or negative!
  • For example:
    20,000 ÷ 1 = 20,000
    21 ÷ 1 = 21
    -2 ÷ 1 = -2

Example: What do you think 1 ÷ 1 will be?
Sol:
When you divide a number by 1, the result is the number you started with.
1 ÷ 1 = 1

Multiplying by 0

Multiplying by 0 always results in 0. Whether you do 0 × or × 0, the answer will be 0. For example:
21 × 0 = 0
Think of it as 21 groups of 0 or 21 groups of nothing. You could also think of it as adding 0 twenty-one times. This is why the result is always 0.
0 × a number = 0 or a number × 0 = 0
This makes the 0 times table very simple!

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FAQs on Multiply and divide by 1 and multiply by 0 - Year 4 Mathematics

1. How does multiplying by 1 affect a number?
Ans. When you multiply a number by 1, the number remains the same. This is because any number multiplied by 1 is equal to the original number.
2. What happens when you divide a number by 1?
Ans. When you divide a number by 1, the number remains the same. This is because any number divided by 1 is equal to the original number.
3. What is the result of multiplying a number by 0?
Ans. When you multiply a number by 0, the result is always 0. This is because any number multiplied by 0 is equal to 0.
4. How do these operations relate to basic arithmetic principles?
Ans. Multiplying by 1 and dividing by 1 are examples of the identity property of multiplication and division, which state that any number multiplied or divided by 1 remains unchanged. Multiplying by 0 follows the zero property of multiplication, where any number multiplied by 0 results in 0.
5. Why is it important to understand the concepts of multiplying by 1, dividing by 1, and multiplying by 0?
Ans. Understanding these concepts is crucial in basic arithmetic as they form the foundation for more complex mathematical operations. Knowing how these operations work helps in solving equations, simplifying expressions, and performing calculations accurately.
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