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Activity 3 Alphabet Puzzles
jOb ective Solve Alphametics by using addition and subtraction. (2)

1. Textbook Instructions Activity 3 Alphabet Puzzles

Students will progress from Activity 1 and use 1 . Find the number for each alphabet letter to solve the puzzle.
addition and subtraction to solve Alphametics.
AAA 888
1. Guide the students in solving the given BBB 222
puzzle. After discussing why the value of C CCC 111
can only be 1 or 2, have the students use the CBBC 1221
format at the bottom of the page to show C
as 1 and 2 and to find the values for A and B The C in the thousands place of the sum is either 1 or 2 . Why?
in both cases.
More than 2 thousands cannot be regrouped when three 3-digit numbers are added.
Look at the digits in the ones places. The greatest possible sum for three 3-digit numbers is 2,997.
A B C C. The ones digit for A B C
is C. A B 10. When C = 1 When C = 2
Look at the digits in the hundreds places.
A B C CB. A B 10, so the sum of AAA AAA
the three numbers is less than 30. BBB BBB
C is 1 or 2. If C 2, A B C 12, which
does not match the rest of the number 111 222
sentence. C must be 1.
In the tens place, A B 1 is added to the 1 BB 1 2 BB 2
1 regrouped from the ones place.
A B 1 1 10 1 1 12, so B 2.
888 222 111 1,221

36

2. Build Understanding

Problem:
Find the number for each alphabet letter to solve the puzzle.

ABC
CBA
BBCB

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