paula says that she can draw an array with a total of 17 counters placed in 3 rows. is she correct? if she is, draw the array. if she is not, explain why not

Question

Emmett

Mathematics

3 January, 16:32

paula says that she can draw an array with a total of 17 counters placed in 3 rows. is she correct? if she is, draw the array. if she is not, explain why not

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Answers (1)

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Rowan Carpenter · Answer 1

She is not correct

Step-by-step explanation:

An array (in context of multiplication) is the representation of objects in rows and columns with same number of elements in each row and in each column.

e. g

0 0 0

2 2 2

3 3 3

is an array.

The total numbers (number of objects) in an array must be divisible by the number of rows and by number of columns.

According to the statement:

Paula can draw an array with a total of 17 counters placed in 3 rows. According to the definition of array, the total number of counters must be divisible by number of rows/columns to form the array. Since, in this case, the total number of counters (17) is not divisible by number of rows (3), the array cannot be formed.

Thus we can conclude that Paula is not correct. An array could have been formed if there were 18 counters in total.