Multiplication and Estimation Quiz
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Questions and Answers

Don works 18 hours a week. Which expression shows a good way to use rounding to estimate how many hours Don will work in 52 weeks?

  • 10 × 60 (correct)
  • 18 × 60
  • 10 × 50
  • 20 × 50

Find the product 21 × 40. Show your work.

840

The product of two factors is 2,000. One of the factors is 50. What is the other factor?

  • 20
  • 40
  • 200
  • 400 (correct)

Select all the expressions that are equal to 260.

<p>13 × 20 (A), 10 × 20 + 3 × 20 (B)</p> Signup and view all the answers

A florist makes centerpieces. He puts 18 roses in each centerpiece. Which is the best way to use compatible numbers to estimate the number of roses the florist needs for 24 centerpieces? What is the exact number of roses?

<p>25 × 30 = 750; 672 (D)</p> Signup and view all the answers

Margo hiked 12 miles 13 times last month. She hiked 14 miles 12 times this month. Draw arrays or area models to find the number of miles Margo hiked during the past two months. Write and solve equations to represent your arrays or area models.

<p>12 x 13 + 14 x 12 = 156 + 168 = 324 miles</p> Signup and view all the answers

Flashcards

Rounding to estimate multiplication

Approximating a product by rounding factors to simpler numbers.

Multiplying by multiples of 10

When multiplying by a number ending in zero(s), perform the multiplication without the zeros, and then add the zeros.

Finding a missing factor

If the product is known and one factor is known, divide the product by that factor to find the missing factor.

Distributive property

Breaking down multiplication problems into smaller parts and combining the products.

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Compatible numbers

Numbers that are easy to multiply or divide mentally.

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Estimating using compatible numbers

Picking nearby numbers that are easy to compute in place of original numbers to approximate the result.

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Exact product

The real answer resulting from full multiplication.

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Array

A visual representation of multiplication using rows and columns of objects.

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Area model

A visual method of multiplication that breaks numbers down into place values.

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Equation

A mathematical statement that shows the equality of two expressions.

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Study Notes

Problem Solving with Multiplication and Estimation

  • Don works 18 hours a week. To estimate how many hours he works in 52 weeks, round 18 to 20 and 52 to 50. The expression to estimate is 20 x 50.

  • To find the product of 21 x 40, multiply 21 x 40 = 840

  • The product of two factors is 2000. One factor is 50. To find the other factor, divide 2000 by 50 = 40.

  • Expressions equal to 260 are 13 x 20, 10 x 20 + 3 x 20, 20 x 10 + 3 x 10.

Centerpiece Roses

  • A florist puts 18 roses in each centerpiece. To estimate the number of roses needed for 24 centerpieces, use compatible numbers. Round 18 to 20, and 24 to 25. The estimate is 20 x 25 = 500. The exact number of roses for 24 centerpieces is 18 x 24 = 432.

Margo's Hiking

  • Margo hiked 12 miles 13 times last month. She hiked 14 miles 12 times this month. To find the total miles she hiked use arrays or area models to find the total miles: 12 x 13 + 14 x 12 = 156 + 168 = 324

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Description

Test your skills in multiplication and estimation with real-world scenarios involving work hours, floral arrangements, and hiking distances. You'll tackle problems that require rounding and estimating products, as well as calculating exact totals. Perfect for enhancing your math proficiency!

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