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Math Grade 2-3 Answer Key

Multiplication as Equal Groups

Use groups, arrays, and repeated addition to multiply

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Multiplication as Equal Groups

Use groups, arrays, and repeated addition to multiply

Math - Grade 2-3

Instructions: Read each problem carefully. Think about the number of groups and the number in each group. Show your work in the space provided.
  1. 1

    There are 4 bags. Each bag has 3 apples. How many apples are there in all? Write a repeated addition sentence and a multiplication sentence.

    There are 4 equal groups with 3 apples in each group.

    There are 12 apples in all. The repeated addition sentence is 3 + 3 + 3 + 3 = 12, and the multiplication sentence is 4 × 3 = 12.
  2. 2

    Write a multiplication sentence for 5 + 5 + 5 + 5.

    The multiplication sentence is 4 × 5 = 20 because there are 4 equal groups of 5.
  3. 3

    A teacher puts 2 pencils on each of 6 desks. How many pencils are there in all?

    Count by 2s six times.

    There are 12 pencils in all because 6 groups of 2 equals 12.
  4. 4

    Look at the equal groups. There are 3 plates with 4 cookies on each plate. Write the multiplication sentence and find the total number of cookies.

    The multiplication sentence is 3 × 4 = 12. There are 12 cookies in all.
  5. 5

    Draw 5 equal groups with 2 stars in each group. Then write the total number of stars.

    Make sure each group has the same number of stars.

    A correct drawing shows 5 groups with 2 stars in each group. There are 10 stars in all because 5 × 2 = 10.
  6. 6

    There are 4 rows of chairs. Each row has 5 chairs. How many chairs are there in all?

    There are 20 chairs in all because 4 × 5 = 20.
  7. 7

    Which repeated addition sentence matches 3 × 6? Choose one: 3 + 3 + 3 + 3 + 3 + 3 or 6 + 6 + 6. Explain your choice.

    The first number tells how many groups there are.

    The sentence 6 + 6 + 6 matches 3 × 6 because it shows 3 equal groups of 6.
  8. 8

    A farmer has 7 baskets. Each basket has 2 eggs. How many eggs does the farmer have in all?

    The farmer has 14 eggs in all because 7 groups of 2 equals 14.
  9. 9

    Fill in the blanks: 4 groups of 4 is the same as ___ + ___ + ___ + ___ = ___ and ___ × ___ = ___.

    Add 4 four times.

    4 groups of 4 is the same as 4 + 4 + 4 + 4 = 16 and 4 × 4 = 16.
  10. 10

    There are 2 aquariums. Each aquarium has 8 fish. Write a multiplication sentence to show the total number of fish.

    The multiplication sentence is 2 × 8 = 16. There are 16 fish in all.
  11. 11

    Maya sees 6 tricycles. Each tricycle has 3 wheels. How many wheels are there in all?

    Each tricycle is one group of 3 wheels.

    There are 18 wheels in all because 6 × 3 = 18.
  12. 12

    Circle the multiplication sentence that matches the picture: 5 × 3 = 15 or 3 × 5 = 15. The picture shows 5 groups with 3 dots in each group.

    The matching sentence is 5 × 3 = 15 because the picture shows 5 groups with 3 dots in each group.
  13. 13

    Write a story problem that matches 3 × 4 = 12.

    Your story should have 3 equal groups with 4 in each group.

    One possible story is: There are 3 boxes with 4 crayons in each box. There are 12 crayons in all.
  14. 14

    There are 9 flowers. They are arranged in 3 equal groups. How many flowers are in each group? Write a multiplication sentence that matches.

    There are 3 flowers in each group. A matching multiplication sentence is 3 × 3 = 9.
  15. 15

    Sam says 2 × 7 means 2 groups of 7. Lee says it means 7 groups of 2. Who is correct for this worksheet's equal group meaning? Explain.

    Think about which number tells the number of groups.

    Sam is correct because 2 × 7 means 2 equal groups with 7 in each group. Both ways have the same total, but the group meaning is different.
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