Input/output tables

Front

What is an input/output table?

Back

An input/output table is a mathematical tool used to show the relationship between input values and output values based on a specific rule or function.

Front

What does it mean to 'multiply by 2'?

Back

To 'multiply by 2' means to take a number and double it, resulting in a new value that is twice the original number.

Front

How do you determine the output in an input/output table?

Back

To determine the output, apply the given rule to the input value. For example, if the rule is 'multiply by 3', then for an input of 4, the output would be 4 * 3 = 12.

Front

What is the rule for the output when the input is 5 and the rule is 'multiply by 4'?

Back

The output would be 5 * 4 = 20.

Front

If the input is 6 and the rule is 'multiply by 6', what is the output?

Back

The output would be 6 * 6 = 36.

Front

What is the difference between a function and a rule in the context of input/output tables?

Back

A function is a specific type of rule that assigns exactly one output for each input, while a rule can be any operation applied to the input.

Front

Can an input/output table have multiple rules?

Back

No, an input/output table typically follows a single rule for all inputs to maintain consistency in the relationship between inputs and outputs.

Front

What is the output when the input is 10 and the rule is 'multiply by 3'?

Back

The output would be 10 * 3 = 30.

Front

How can you verify the correctness of an input/output table?

Back

You can verify the correctness by checking that each output corresponds accurately to its input based on the specified rule.

Front

What is a common mistake when working with input/output tables?

Back

A common mistake is applying the wrong rule to an input or miscalculating the output.