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Chapter 2: Q11. (page 108)

Use the distributive property to evaluate the expression.

3106

Short Answer

Expert verified

Value of given expression is 318.

Step by step solution

01

Step-1- Concept of Distributive property of multiplication

According to the distributive property of multiplication, whenwe multiply a number with the sum of two or more addends, we get a result that is equal to the result that is obtained when we multiply each addend separately by the number.

A脳B+C=AB+AC

02

Step-2-Evaluating given expressions

3106

Using Distributive property of multiplication, the above expression can be written as

3(106)=3(100+6)3(106)=3(100)+3(6)3(106)=300+183(106)=318

03

Step-3-Conclusion

Therefore, the value of given expression is 318.

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Most popular questions from this chapter

Short Response You have a canteen that holds 32 fluid ounces and weighs 0.25 pound when empty. Water weighs 0.065 pound per fluid ounce. You begin a hike with a full canteen of water. Write and simplify an expression for the weight of the canteen and water after you drink x fluid ounces. Show and justify each step of your solution.

Use the distributive property to evaluate the following expression:

699

Drilling One type of thermal ice drill can drill through ice at a rate of 15 feet per minute by using heat to melt the ice. Find the time it takes the drill to melt through a sheet of ice 75 feet thick.

Extended Problem Solving You are making a rectangular rug. You want the rug to be twice as long as it is wide. Let w represent the width (in feet) of the rug.

a. Write an expression in terms of w for the perimeter of the rug.

b. Write an expression in terms of w for the area of the rug.

c. Calculate Copy and complete the table.

d. Writing Explain how doubling the width of the rug affects the perimeter and the area

Identify the property that the statement illustrates.

-鈥�鈥�4ab=-鈥�鈥�4ba
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