Question

A toddler has 36 blocks, of which 16 are blue and 20 are pink. They want to sort the blocks so that each group has both colors of blocks. The toddler also wants each group to have an equal number of blue blocks and an equal number of pink blocks. Which answer best shows how the toddler should sort the blocks using the GCF and the Distributive Property of multiplication over addition?(1 point) Responses 1(16+20) 1 left parenthesis 16 plus 20 right parenthesis 4(4×5) 4 left parenthesis 4 times 5 right parenthesis 2(8+10) 2 left parenthesis 8 plus 10 right parenthesis 4(4+5)

Answer 1

The toddler should sort the blocks into groups using the GCF of 4, resulting in the expression 4(4+5), which uses the Distributive Property of multiplication over addition.

Step-by-step explanation:

The toddler can sort the 36 blocks into groups using the Greatest Common Factor (GCF) and the Distributive Property of multiplication over addition. First, we need to find the GCF of the number of blue blocks and pink blocks. The GCF of 16 (blue blocks) and 20 (pink blocks) is 4. We can then use the Distributive Property to express the total as a multiplication of the GCF and the sum of the divided parts, which would be 4(4+5) because 16 divided by 4 is 4, and 20 divided by 4 is 5.