Mathematics for Elementary Educators I - C460
Place Value Correct Answer: expanding a number by powers of ten
ex. 456=4*10^2+5*10+6*1
Closure Correct Answer: If you add (multiply) two numbers of a set then the sum (product) is a number
in the set.
ex. 2+3=5 or 2*3=6
Commutative property Correct Answer: changes the order of the numbers
ex. 3+4=4+3
Associative property Correct Answer: changes the groups (what is inside the parenthesis)
ex 3+(4+5)=(3+4)+5
Identity (multiplication) Correct Answer: 1 because multiplying by 1 does not change the number
Identity (addition) Correct Answer: 0 because adding 0 to a number does not change the number
Distributive property Correct Answer: distributes multiplication over addition or subtraction (multiply
everything inside the parenthesis by the number in front of the parenthesis)
ex. 2(3+4)=2*3+2*4=6+8=14
ex. 3(x-6)=3x-18
Lattice addition Correct Answer: 1. Add the number either left to right or right to left and write the sums
vertically
2. Make the lattice. Draw a rectangle around the sums and make vertical columns.
3. Add diagonally right to left, Carry, if necessary, to the next diagonal.
Lattice multiplication Correct Answer: 1. Draw your lattice. The number of columns is determined by the
larger number and the rows by the smaller number.
2. Place the larger number across the top of the lattice and the smaller down the right side.
3. Multiply the numbers on the top and right of each square and place the product in each rectangle
across the diagonal.
4. Add diagonally right to left. Carry, if necessary to the next diagonal.
Prime factorization Correct Answer: every number can be written as a product of prime numbers
ex. 12=2^2*3
Prime numbers Correct Answer: only divisible by by themselves and one
Greatest Common Factor (GCF)
Greatest Common Denominator (GCD) Correct Answer: the largest number that will divide into the
given numbers evenly
Find GCF or GCD Correct Answer: 1. Find the prime factorization of the given numbers
2. Product of the smallest powers of the common factors
Place Value Correct Answer: expanding a number by powers of ten
ex. 456=4*10^2+5*10+6*1
Closure Correct Answer: If you add (multiply) two numbers of a set then the sum (product) is a number
in the set.
ex. 2+3=5 or 2*3=6
Commutative property Correct Answer: changes the order of the numbers
ex. 3+4=4+3
Associative property Correct Answer: changes the groups (what is inside the parenthesis)
ex 3+(4+5)=(3+4)+5
Identity (multiplication) Correct Answer: 1 because multiplying by 1 does not change the number
Identity (addition) Correct Answer: 0 because adding 0 to a number does not change the number
Distributive property Correct Answer: distributes multiplication over addition or subtraction (multiply
everything inside the parenthesis by the number in front of the parenthesis)
ex. 2(3+4)=2*3+2*4=6+8=14
ex. 3(x-6)=3x-18
Lattice addition Correct Answer: 1. Add the number either left to right or right to left and write the sums
vertically
2. Make the lattice. Draw a rectangle around the sums and make vertical columns.
3. Add diagonally right to left, Carry, if necessary, to the next diagonal.
Lattice multiplication Correct Answer: 1. Draw your lattice. The number of columns is determined by the
larger number and the rows by the smaller number.
2. Place the larger number across the top of the lattice and the smaller down the right side.
3. Multiply the numbers on the top and right of each square and place the product in each rectangle
across the diagonal.
4. Add diagonally right to left. Carry, if necessary to the next diagonal.
Prime factorization Correct Answer: every number can be written as a product of prime numbers
ex. 12=2^2*3
Prime numbers Correct Answer: only divisible by by themselves and one
Greatest Common Factor (GCF)
Greatest Common Denominator (GCD) Correct Answer: the largest number that will divide into the
given numbers evenly
Find GCF or GCD Correct Answer: 1. Find the prime factorization of the given numbers
2. Product of the smallest powers of the common factors
