Don breaks a4 by 7array into a 2 by 7 array and another array. What is the fact for dons second array? Write a.number sentence that models the relationship of the 4 by 7 array to the other two arrays
4x7=( 2x7 ) + (2x7)=28
3x7
To break the 4 by 7 array into a 2 by 7 array and another array, we start with the original array, which we can represent as A(4, 7).
The first array will be the 2 by 7 array, which we can represent as B(2, 7).
The second array will be the remaining part after removing the 2 by 7 array from the original array. Let's represent this second array as C.
The number sentence that models the relationship of the 4 by 7 array (A) to the other two arrays (B and C) can be written as:
A = B + C
To find the fact for Don's second array, we need to determine the dimensions of the second array after Don breaks the 4 by 7 array into a 2 by 7 array and another array.
Given that the original array is 4 by 7, it means it has 4 rows and 7 columns.
After breaking the array, we have a 2 by 7 array (2 rows, 7 columns) and another array that we need to find the dimensions for.
To determine the dimensions for the second array, we need to subtract the dimensions of the first array from the original array. So, we subtract 2 rows (from the 2 by 7 array) and 7 columns (from the same 2 by 7 array) from the original 4 by 7 array.
Subtracting 2 rows from 4 rows gives us 2 rows remaining.
Subtracting 7 columns from 7 columns gives us 0 columns remaining.
Therefore, the second array will be a 2 by 0 array.
To write a number sentence that models the relationship between the 4 by 7 array and the other two arrays, we can write:
4 by 7 array = 2 by 7 array + 2 by 0 array.