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Additive and Multiplicative Relationships

Explore additive and multiplicative relationships with this Grade 5 math worksheet, featuring number lines, tables, and word problems.

Grade 5 Math Number SenseAdditive and Multiplicative Relationships
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Includes

2 Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.5.OA.B.3CCSS.MATH.CONTENT.5.G.A.1

Topics

mathgrade 5additivemultiplicativerelationshipspatterns
8 sections · Free to use · Printable
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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?

a

Additive

b

Multiplicative

c

Both additive and multiplicative

d

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?

0510152025

5. If a pattern increases by adding the same number each time, it is an additive relationship.

T

True

F

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?

a

y = x + 3

b

y = x * 4

c

y = x + 4

d

y = x * 3