You're right. It is always more accurate to round at the end only.madah12 said:when solving physics problems we have to do various calculation to find a quantity but the results are different if we round up in every operation than if we round up in only the final operation? I never cared before but sometimes I see big differences especially when dealing with numbers with only 1 significant figures.
The commutative property of numbers states that the order in which numbers are added or multiplied does not change the result. In other words, a + b = b + a and a * b = b * a.
The commutative property applies to both addition and multiplication. This means that the sum or product of two or more numbers will always be the same, regardless of their order.
No, the commutative property only applies to addition and multiplication. It does not apply to subtraction or division. For example, 10 - 5 is not the same as 5 - 10. Similarly, 10 ÷ 2 is not the same as 2 ÷ 10.
The commutative property can be applied in real-life situations such as when calculating the total cost of items or when determining the order of operations in a mathematical problem. For example, when adding up the costs of groceries, the order in which the items are added does not affect the final total.
The uncertainty principle states that it is impossible to know the exact position and momentum of a particle at the same time. This principle is related to the commutative property of numbers as it highlights the limitations of trying to measure and manipulate certain physical quantities simultaneously.