(4 points) When we multiply 2 . 3 × 1 . 7 ,…

(4 points) When we multiply 2 . 3 × 1 . 7 , we first multiply as if the decimal points were not there, and then we place the decimal point in the answer 391. decimal multiplication.jpg a.    How could a student reason about the size of the numbers to determine where to place the decimal point if the student has forgotten the rule about adding the number of places behind the decimal points in 1.7 and 2.3? b.    Explain clearly why the rule for placement of the decimal point in the decimal multiplication problem makes sense. What is the logic behind adding the number of places behind the decimal points? Use the example 2 . 3 × 1 . 7 to discuss this logic. Question: I have written my answer to this question on paper. Type yes or no.

(6 points)The Multiplication Algorithmsa.    Use the partial…

(6 points)The Multiplication Algorithmsa.    Use the partial products and the common method algorithms to calculate 74×53.b.    Draw a large rectangle to represent an array for 74×53. Subdivide the array in a natural way so that the parts of the array correspond to the steps in the partial products algorithm. Indicate the correspondence between the parts of the array and the steps in the partial products algorithm.c.    Indicate which parts of the array that you drew for part (b) correspond to the steps in the common algorithm for 74×53.d.    Solve 74×53 by writing equations that use expanded forms and the distributive property. Relate your equations to the steps in the partial products algorithm.Question: I have written my answer to this question on paper. Type yes or no.

(6 points)Fraction Multiplicationa.    Write a word problem…

(6 points)Fraction Multiplicationa.    Write a word problem for 45×23=? that fits with our definition of multiplication. Explain how your word problem fits with the our definition of multiplication.b.    Pretend you don’t know how to calculate 45×23. Explain how to reason logically using a math drawing, your word problem in part (a), our definitions of multiplication and fractions, and equivalent fractions to solve 45×23=?.Question: I have written my answer to this question on paper. Type yes or no.