Mathematics
Grade 3
15 min
Subtraction input/output tables - four or more digits
Subtraction input/output tables - four or more digits
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the subtraction rule in an input/output table with numbers of four or more digits.
Complete an input/output table by applying a given subtraction rule to find missing outputs.
Find a missing input value in a table when the output and subtraction rule are known.
By the end of of this lesson, students will be able to determine the subtraction rule when given a complete input/output pair.
Solve word problems that use subtraction input/output tables with large numbers.
Explain the relationship between the input, rule, and output in a subtraction table.
Imagine a giant cookie factory has 9,500 cookies at the start of the day! 🍪 If a big order for 1,500 cookies goes out, how can we quickly figure out how many are left?
In this lesson, we will learn h...
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Key Concepts & Vocabulary
TermDefinitionExample
Input/Output TableA table that organizes numbers to show a relationship. It has a column for the starting number (Input) and a column for the ending number (Output).A table with one column labeled 'Input' and another labeled 'Output'.
InputThe number you start with in an input/output table.If you start with 5,000 stickers, the input is 5,000.
OutputThe number you get after applying the rule to the input.If you start with 5,000 stickers and give away 1,200, the output is 3,800.
RuleThe operation that you perform on every input to get the output. In this lesson, the rule will always be to subtract a specific number.If the rule is 'Subtract 1,200', you take 1,200 away from every input number.
Regrouping (or Borrowing)The action of trading f...
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Core Formulas
Finding the Output
Input - Rule = Output
Use this when you know the starting number (Input) and the rule. Subtract the rule from the input to find the final number (Output).
Finding the Rule
Input - Output = Rule
Use this when you have a complete pair of Input and Output numbers. Subtract the output from the input to discover the table's rule.
Finding the Input
Output + Rule = Input
Use this when you need to find the starting number. You must work backward by adding the rule to the output.
4 more steps in this tutorial
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Challenging
Look at this table. One of the outputs is wrong. Which row has the mistake?
Rule: Subtract 1,234
A) Input: 5,678 | Output: 4,444
B) Input: 4,000 | Output: 2,766
C) Input: 3,020 | Output: 1,786
D) Input: 2,345 | Output: 1,110
A.Row A
B.Row B
C.Row C
D.Row D
Challenging
A baker starts the day with a large number of flour bags (Input). He uses 2,550 bags for bread (Rule). At the end of the day, he has 1,475 bags left (Output). The next day, he gets a new shipment and has 6,000 bags. If he uses the same amount of flour, how many bags will be left?
A.4,025 bags
B.3,450 bags
C.1,975 bags
D.4,525 bags
Challenging
An input/output table's rule is a secret number. When the input is 9,010, the output is 5,555. What would the input be if the output was 2,000?
A.3,455
B.5,455
C.1,455
D.3,555
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