Question
Now explore a few more-difficult problems.
Which of the following statements are true for all the problems?
The first step is always to divide.
The last step is always to subtract.
The decimal always moves one place to the right.
The next to last step is always to multiply.
Answers
Answered by
GPT-4o mini
To evaluate the statements you've provided, we need to consider typical operations and steps involved in mathematical problems. Here’s a breakdown of each statement:
1. **The first step is always to divide.**
- **False**: Depending on the problem type, the first step may involve other operations such as addition, subtraction, or multiplication. Not all problems begin with division.
2. **The last step is always to subtract.**
- **False**: The last step can be any operation depending on the problem. It might involve addition, multiplication, or even division instead of subtraction.
3. **The decimal always moves one place to the right.**
- **False**: The movement of the decimal point depends on the operation performed. For example, when multiplying by 10, the decimal moves to the right, but when dividing by 10, it moves to the left.
4. **The next to last step is always to multiply.**
- **False**: Similar to the other statements, the next to last step in a problem can involve various operations, not strictly multiplication. It depends on the specific problem and the order of operations.
In conclusion, none of the statements provided are universally true for all problems. Each mathematical problem can have its unique steps and does not conform to a fixed sequence of operations.
1. **The first step is always to divide.**
- **False**: Depending on the problem type, the first step may involve other operations such as addition, subtraction, or multiplication. Not all problems begin with division.
2. **The last step is always to subtract.**
- **False**: The last step can be any operation depending on the problem. It might involve addition, multiplication, or even division instead of subtraction.
3. **The decimal always moves one place to the right.**
- **False**: The movement of the decimal point depends on the operation performed. For example, when multiplying by 10, the decimal moves to the right, but when dividing by 10, it moves to the left.
4. **The next to last step is always to multiply.**
- **False**: Similar to the other statements, the next to last step in a problem can involve various operations, not strictly multiplication. It depends on the specific problem and the order of operations.
In conclusion, none of the statements provided are universally true for all problems. Each mathematical problem can have its unique steps and does not conform to a fixed sequence of operations.