Video: Solving Word Problems Involving Decimals Using the Distributive Property of Multiplication

A print shop charges $0.04 to print a page in black and white and $0.16 to print it in color. Use the distributive property to determine the total cost of printing 27 pages in both black and white and color.

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Video Transcript

A print shop charges four cents to print a page in black and white and 16 cents to print it in color. Use the distributive property to determine the total cost of printing 27 pages in both black and white and color.

The cost in dollars of printing 27 pages in black and white would be equal to 27 multiplied by 0.04. The cost of printing 27 pages in color would be equal to 27 multiplied by 0.16. To find the total cost, we would need to add these values.

Using the distributive property, we can factor 27, giving us 27 multiplied by 0.04 plus 0.16. Four cents plus 16 cents is equal to 20 cents. Therefore, 0.04 plus 0.16 is equal to 0.2. The total cost in dollars will be equal to 27 multiplied by 0.2.

27 multiplied by two is equal to 54. Using our knowledge of place value, this means that 27 multiplied by 0.2 is equal to 5.4. The cost of printing 27 pages in both black and white and color is, therefore, five dollars and 40 cents.

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