Let's break down your questions step by step.
- How are 5 x 1/2 and 1/2 x 5 related?
Both expressions represent the same mathematical relationship because of the commutative property of multiplication. According to this property, changing the order of the factors does not change the product. Therefore, \( 5 \times \frac{1}{2} = \frac{1}{2} \times 5 \).
- 5 x _ = 10
To find the missing value, you can solve for the blank: \[ 5 x \text{ ? } = 10 \] Dividing both sides by 5 gives: \[ \text{ ? } = \frac{10}{5} = 2 \] So, \( 5 x \text{ 2 } = 10 \).
- 2 x 5 = _
Calculating gives: \[ 2 x 5 = 10 \] So, \( 2 x 5 = \text{ 10 } \).
- 5 x 1/2 is _ to 1/2 x 5
As stated earlier, \( 5 \times \frac{1}{2} \) is equal to \( \frac{1}{2} \times 5 \), so you can say \( 5 \times \frac{1}{2} \text{ is equal to } \frac{1}{2} \times 5 \).
- Commutative property - the mathematical property that says _ does not matter in addition and multiplication.
The answer you are looking for is that the order of the numbers does not matter in addition and multiplication.
In summary:
- \( 5 \times \frac{1}{2} \) and \( \frac{1}{2} \times 5 \) are equal due to the commutative property.
- \( 5 x 2 = 10 \).
- \( 2 x 5 = 10 \).
- The commutative property means that the order of numbers does not matter in addition and multiplication.
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