Additive and Multiplicative Relationships
Explore additive and multiplicative relationships with this Grade 5 math worksheet, featuring number lines, tables, and word problems.
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Additive and Multiplicative Relationships
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Read each question carefully and follow the instructions to determine whether the relationship is additive or multiplicative, and to solve the problems.
1. Look at the sequence: 3, 6, 9, 12, ... What type of relationship exists between consecutive numbers?
Additive
Multiplicative
Both additive and multiplicative
Neither
2. Complete the pattern. If you add 5 to each number, the sequence is: 7, 12, , 22, .
3. Complete the pattern. If you multiply each number by 2, the sequence is: 4, 8, , 32, .
4. Observe the number line below. What is the rule (additive or multiplicative) that generates the sequence of numbers shown?
5. If a pattern increases by adding the same number each time, it is an additive relationship.
True
False
6. Sarah saves $5 each week. If she starts with $10, how much money will she have after 4 weeks? Is this an additive or multiplicative relationship? Explain your reasoning.
7. Consider the table below:
Input (x) | Output (y)
----------|----------
1 | 4
2 | 8
3 | 12
What is the relationship between x and y?
y = x + 3
y = x * 4
y = x + 4
y = x * 3