Jack use the place value chart below to show 1,826.5. Jack divided 1,826.5 by a number to get a quotient of 18.265 which he wrote on the second line of the chart. What number did Jack divide 1,826.5 by to get a quotient of 18,265?

Respuesta :

Answer:

100

Step-by-step explanation:

Let the number we are looking for be x. If Jack divided 1,826.5 by the number to get a quotient of 18.265, to get the number we will solve the equation;

1,826.5/x = 18.265

Cross multiply

1826.5 = 18.265x

Divide both sides by 18.265

18.265x = 1826.5

18.265x/18.625 = 1826.5/18.625

x =  100

Hence Jack divide 1,826.5 by 100 to get a quotient of 18.265

Here, we are required to find the number Jack divide 1,826.5 by to get a quotient of 18,265?

The number is 100

First, it is important to form an expression from the data given;

Let the no. which Jack divided 1,826.5 by be x.

The result of the division yields a quotient of 18.265.

From the statements above;

1,826.5/x = 18.265

Therefore, 1826.5 = 18.265x.

Therefore, x = 1826.5/18.265 = 100.

Therefore,

the number which Jack divided 1,826.5 by to get a quotient of 18.265 is x = 100.

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