Question

1. what is the product? use an algorithm.

749
× 42
+

1. a taxi service charges $57 for a ride from the suburbs to an airport. during one week, the company had 38 fares. how much money did the taxi company earn?

a. $627
b. $1,556
c. $2,166
d. $2,400

1. in its frame, a rectangular painting measures 84 centimeters long and 56 centimeters wide. how much wall space does the painting cover? explain the strategy you used to find the answer.

Explanation:

10.

Step1: Multiply by 2

$749\times2 = 1498$

Step2: Multiply by 40

$749\times40=29960$

Step3: Add results

$1498 + 29960=31458$

Step1: Identify the formula

Total earnings = Fare per ride×Number of fares

Step2: Substitute values

Total earnings=$57\times38$

Step3: Calculate product

$57\times38=(60 - 3)\times38=60\times38-3\times38=2280 - 114 = 2166$

Step1: Identify the shape

The painting is rectangular, and area of a rectangle is given by $A = l\times w$.

Step2: Substitute values

$l = 84$ cm, $w = 56$ cm, so $A=84\times56=(80 + 4)\times56=80\times56+4\times56=4480+224 = 4704$ square - centimeters.
The strategy used is to break one of the factors into more manageable numbers (using the distributive property of multiplication) to make the calculation easier.

Answer:

$31458$

11.