Mathematics
Grade 3
15 min
Addition input/output tables - four or more digits
Addition input/output tables - four or more digits
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1
Introduction & Learning Objectives
Learning Objectives
Identify the addition rule in an input/output table with numbers of four or more digits.
Use a given addition rule to find the output for any given input.
Use a given addition rule to find the input when given the output by using the inverse operation.
Complete a partially filled input/output table by first finding the rule and then filling in the missing numbers.
Apply place value understanding to add numbers with four or more digits accurately within the context of a table.
Imagine a magic robot that adds the same number to any number you put in! What's the robot's secret number? 🤖
We will learn about input/output tables, which work just like that magic robot. You'll learn how to find the secret addition rule and use it to fill in the res...
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Key Concepts & Vocabulary
TermDefinitionExample
InputThe number you start with in an input/output table.If you put the number 2,500 into the table, 2,500 is the input.
OutputThe number you get after the rule has been applied to the input.If the input is 2,500 and the rule is 'Add 1,000', the output is 3,500.
RuleThe operation and number that consistently changes the input to the output.In a table where 1,200 becomes 3,200 and 4,000 becomes 6,000, the rule is 'Add 2,000'.
Input/Output TableA chart with two columns (Input and Output) that shows a pattern or relationship between pairs of numbers.A table showing that when 1,500 goes in, 2,000 comes out, and when 3,000 goes in, 3,500 comes out.
Place ValueThe value of a digit based on its position in a number (ones, tens, hundreds, thousands).In the...
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Core Formulas
Finding the Output
Input + Rule = Output
When you know the starting number (Input) and the rule, add them together to find the result (Output).
Finding the Rule
Output - Input = Rule
To discover the secret rule, pick one complete pair from the table and subtract the input from the output.
Finding the Input
Output - Rule = Input
When you know the result (Output) and the rule, you must work backward by subtracting the rule from the output to find the starting number (Input).
4 more steps in this tutorial
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Challenging
The rule for a table is 'Add 3,030'. The input is 4,545. What is the difference between the output and the input?
A.7,575
B.1,515
C.3,030
D.4,545
Challenging
An input/output machine uses the rule 'Add 4,550'. The first input is 1,000. The output of the machine then becomes the input for the next step. What is the output after the number has gone through the machine two times?
A.5,550
B.10,100
C.9,100
D.10,000
Challenging
In this table, the rule is to add the same number each time. One of the outputs is wrong, which makes the rule seem inconsistent. If the first row is correct, what should the output for the input 7,000 be?
| Input | Output |
|---|---|
| 2,000 | 5,250 |
| 4,000 | 7,350 (Incorrect) |
| 7,000 | ? |
A.9,250
B.10,250
C.10,350
D.10,250
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