Why does it work to break apart a number by place values to multiply

A survey found that the average daily cost to rent a car in Los Angeles is $102.24 and in Las Vegas is $97.35. The data were collected from two random samples of 40 in each of the two cities and the population standard deviations are $5.

The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures 10m by 10m. What will be the area of the playgrounds?

What equation represents a number y decreased by 25 is 100?

Tom began a savings account with $120 He added money each mon month after the initial deposit. The amount can be represented by the equation y=65x + 120, where x is the number of months. What is number 65 in this equation? A.

Toby, Elisa, and Heidi each spent between $10 and $12 on fruit. Toby bought 6 items. Elisa bought 3 items. Heidi bought 4 items. The prices of the items are given below.

Using a common denominator to write an equivalent fraction for each fraction what would 1/3, 1/5, common denominator be?

How Many square inches will fill a rectangle 6 inches by 2 inches?

On Saturday, $585 was collected from the sale of 55 tickets for a performance. Adult tickets are $12 and student tickets cost 25% less than adult tickets. Find the number of adult tickets and number of student tickets sold on that day.

The square below has side 6x. Find the area of the square remaining after a circle of radius 4x is removed from the square; in other words, find the area of the shaded region in factored form

What is the greatest common factor of 14 and 28