Susan said, "I multiplied 100 by 47, and then I removed one group of 47." Write an expression to represent how Susan solved 99x47. Then evaluate the expression.

Respuesta :

Answer:

The expression of how Susan solved 99 × 47 is;

99 × 47 = 100 × 47 - 47

The evaluation of the expression is;

99 × 47 = 4653

Step-by-step explanation:

The question relates to the simplification of the multiplication of two numbers by the use of a combination multiplication of one of the numbers, 'x', with the nearest 10s or 100s of the other number, 'y', followed by the subtraction or addition operation of the product between the number 'x' and the difference between the specified 10s or 100s and 'y';

The given information on how Susan solved the equation 99 × 47 can be presented as follows;

99 × 47 = (100 - 1) × 47 = 100 × 47 - 47

The expression of how Susan solved 99 × 47 is therefore presented as follows;

99 × 47 = 100 × 47 - 47

The evaluation of the expression is therefore given as follows;

100 × 47 - 47 = 4700 - 47 = 4653.