Properties of Multiplication — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
In Grade 3, 8 x 1 equals 1 because one is the answer.
Corrected: In Grade 3, 8 x 1 equals 8 because the identity property keeps the factor.
Grade 3 identity property: n times 1 equals n, so 8 x 1 is 8.
2. Fix the sentence:
Grade 3 rule: 12 x 1 is 13 because we add one more.
Corrected: Grade 3 rule: 12 x 1 is 12 because multiplying by 1 does not change it.
Identity property in Grade 3 means the product equals the other factor.
3. Fix the sentence:
For Grade 3, 1 x 25 equals 26 every time we check.
Corrected: For Grade 3, 1 x 25 equals 25 every time we check.
Grade 3: 1 times any number returns that number unchanged.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Grade 3 identity property: 7 x 1 = 7 because multiplying by one keeps the factor.
Grade 3: n x 1 = n, so 7 x 1 = 7.
2. Grade 3 fact: 1 x 14 = 14 using the identity property of multiplication.
Commutes to 14 x 1; Grade 3 identity keeps value as 14.
3. Grade 3 problem: 30 x 1 = 30 using the identity property.
Grade 3 identity: if n x 1 = 30, then n must be 30.
4. Grade 3 check: 1 x 1 = 1 using multiplication identity.
Grade 3 identity property keeps 1 as 1 when multiplied by 1.
Part C: True or False?
Read each statement. Circle True or False.
1. Grade 3 identity property says 9 x 1 = 9.
True False
Grade 3 identity: 9 x 1 = 9, confirming the property.
2. Grade 3 rule: 1 x 100 equals 101 under the identity property.
True False
Grade 3 identity: 1 x 100 = 100, not 101.
3. Grade 3 identity property: any factor times 1 equals that factor.
True False
Grade 3: n x 1 = n is the identity property statement.