Multiplication and Division Problems
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Questions and Answers

What multiplication sentence represents the sum 2 + 2 + 2 = 6?

  • 3 x 3 = 9
  • 2 x 2 = 4
  • 3 x 2 = 5
  • 2 x 3 = 6 (correct)

If Judy arranges her marbles in 3 rows of 6, how many marbles does she have in total?

  • 12
  • 21
  • 15
  • 18 (correct)

What is the division sentence that accurately describes how the teacher divides 12 glue sticks into 4 equal groups?

  • 12 ÷ 3 = 4
  • 12 ÷ 5 = 2.4
  • 12 ÷ 2 = 6
  • 12 ÷ 4 = 3 (correct)

Which multiplication equation describes the array of 5 rows of 3 squares?

<p>5 x 3 = 15 (B)</p> Signup and view all the answers

If there are 15 triangles divided into groups of 5, how many groups are formed?

<p>3 (B)</p> Signup and view all the answers

What is the correct multiplication equation for the picture that shows 4 rows of hearts, with each row containing 4 hearts?

<p>4 x 4 = 16 (D)</p> Signup and view all the answers

In the equation 18 ÷ 3 = ?, what is the missing number?

<p>9 (B)</p> Signup and view all the answers

What is the correct equation derived from 4 x ____ = 24?

<p>6 (D)</p> Signup and view all the answers

How many cages are there if there are 12 birds at the pet store with 2 birds in each cage?

<p>6 cages (B)</p> Signup and view all the answers

If Laina cuts 14 meters of ribbon into 2 equal pieces, how many meters long is each piece?

<p>7 meters (C)</p> Signup and view all the answers

How many pies can Andrea make if she has 21 apple slices and uses 3 slices per pie?

<p>7 pies (B)</p> Signup and view all the answers

How many players are on each team if there are 24 soccer players forming 3 equal teams?

<p>8 players (C)</p> Signup and view all the answers

If Arthur has 4 boxes of chocolates and each box contains 7 chocolates, how many chocolates does he have altogether?

<p>28 chocolates (C)</p> Signup and view all the answers

How many folders are there on 4 tables if each table has 6 folders?

<p>24 folders (B)</p> Signup and view all the answers

What is the relationship between the equations 4 × 3 and 3 × 4 as represented by tape diagrams?

<p>They are equal due to the commutative property (D)</p> Signup and view all the answers

What reasoning can Destiny use for stating that 5 × 4 can help find the answer for 8 × 4?

<p>Both calculations use the same multiplier (C)</p> Signup and view all the answers

What is the quotient of the expression $15 ÷ 5$?

<p>3 (A)</p> Signup and view all the answers

If Cesar arranges 12 notecards into rows of 6, what is the quotient when dividing 12 by 6?

<p>2 (B)</p> Signup and view all the answers

What multiplication sentence correctly represents Mary's stickers arranged in 3 rows and 4 columns?

<p>4 × 3 = 12 (B), 3 × 4 = 12 (D)</p> Signup and view all the answers

What does the commutative property of multiplication imply in the context of the equations written by Ms. Nenadal?

<p>The product remains the same regardless of the order of factors. (D)</p> Signup and view all the answers

Which array correctly represents the expression $2 × 6$?

<p>2 rows, 6 columns (A)</p> Signup and view all the answers

How could breaking an array into two parts help find the answer for $7 × 3$?

<p>Simplify numbers to easier multipliers. (B)</p> Signup and view all the answers

When Ms. McCarty has 16 stickers and puts 2 on each homework paper, how many papers can she complete?

<p>8 (D)</p> Signup and view all the answers

Which multiplication sentence corresponds correctly to the array of 6 rows of 2?

<p>2 × 6 = 12 (A), 6 × 2 = 12 (B)</p> Signup and view all the answers

What is the nearest hundred to 762?

<p>800 (C)</p> Signup and view all the answers

How should 1342 be rounded to the nearest hundred?

<p>1300 (A)</p> Signup and view all the answers

What is Joseph's homework completion time rounded to the nearest ten minutes?

<p>3:50 pm (A)</p> Signup and view all the answers

Which of the following is the correct rounding for 38?

<p>40 (C)</p> Signup and view all the answers

If rounding 762 to the nearest ten, what would be the result?

<p>760 (D)</p> Signup and view all the answers

What is the approximate value of 53 when rounded to the nearest ten?

<p>50 (D)</p> Signup and view all the answers

What should 1342 round to when estimating to the nearest hundred?

<p>1300 (A)</p> Signup and view all the answers

What is Javier's weight when rounded to the nearest 10 kilograms?

<p>55 kg (A)</p> Signup and view all the answers

How long does Greg spend mowing the back lawn if he takes 17 more minutes than mowing the front lawn?

<p>38 minutes (A)</p> Signup and view all the answers

How many muffins did Sue bake altogether if she wrapped 86 muffins and had 58 left?

<p>120 muffins (A)</p> Signup and view all the answers

What is the result of adding 46 mL and 5 mL?

<p>50 mL (A)</p> Signup and view all the answers

If the total length of a jump rope is 408 cm, what is this length in meters?

<p>3.08 m (D)</p> Signup and view all the answers

What is the result of adding 345 g and 294 g?

<p>639 g (A)</p> Signup and view all the answers

What is the sum of 78 g and 29 g?

<p>97 g (A)</p> Signup and view all the answers

What is the total time Greg spends mowing both lawns?

<p>47 minutes (C)</p> Signup and view all the answers

What is the result of the equation $3 x 5$?

<p>15 (B)</p> Signup and view all the answers

What is the solution to the equation $10 x = 90$?

<p>9 (C)</p> Signup and view all the answers

What is the result of $4 x 3$?

<p>12 (B)</p> Signup and view all the answers

What is the value of $5 x 4$?

<p>20 (C)</p> Signup and view all the answers

Calculate the result of $2 x 6$.

<p>12 (B)</p> Signup and view all the answers

Determine the product of $4 x 7$.

<p>28 (B)</p> Signup and view all the answers

What is the output of $10 x 2$?

<p>20 (D)</p> Signup and view all the answers

What is the solution to $6 x 2 = ?$

<p>12 (B)</p> Signup and view all the answers

What does $5 x 9$ equal?

<p>45 (B)</p> Signup and view all the answers

Find the value of $10 x 4$.

<p>40 (B)</p> Signup and view all the answers

What is the product of $2 x 9$?

<p>18 (A)</p> Signup and view all the answers

What is the solution to $8 x 1$?

<p>8 (A)</p> Signup and view all the answers

Calculate $14 x 1$.

<p>14 (C)</p> Signup and view all the answers

Flashcards

What is an array?

A picture where objects are arranged in rows and columns.

How does multiplication relate to repeated addition?

A way to show repeated addition using multiplication.

What is a multiplication equation?

A number sentence that shows how many groups of a certain size make up a total.

What is a division equation?

A number sentence that shows how to divide a total into equal groups.

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What is division?

A way to separate a total into equal groups.

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What is the quotient?

The number of items in each group when dividing a total.

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What is the dividend?

The total number of items being divided.

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What is the divisor?

The number of equal groups you are dividing into.

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Array

Arrangement of objects in rows and columns.

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Division

The operation of dividing a number into equal groups.

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Multiplication sentence

The product of two numbers that are multiplied together.

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Product

The result of multiplying two numbers together.

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Commutative Property of Multiplication

The commutative property of multiplication means that changing the order of the factors doesn't change the product.

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Count by model

A method of representing multiplication where you count by the same number repeatedly.

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Breaking an array into parts

Breaking a larger array into smaller parts can make multiplication calculations easier.

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Finding the unknown factor

A process of finding the unknown factor in a multiplication problem.

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Tape Diagram

A visual representation that uses bars or boxes to show parts of a whole, often used to solve division problems.

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Unknown

A symbol used to represent the unknown quantity in a word problem.

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Multiplication

A mathematical operation that involves combining equal groups.

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Solve with an Array

To solve a problem with an array, add the same quantity for each row to find the total.

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Solve with a Tape Diagram

To solve a problem with a tape diagram, break the whole into equal parts and label the unknown.

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Round to the Nearest Ten

Rounding a number means finding the nearest ten, hundred, or thousand to that number.

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Total Time

The total amount of time spent mowing the front and back laws is found by adding the times for each lawn.

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Round to the Nearest Ten (Rule)

To round a number to the nearest ten, we look at the digit in the 'ones' place. If it's 5 or more, we round up. If it's less than 5, we round down.

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Sum

In math, the total amount of something after adding two or more values together is called the sum.

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Weight

A measurement of how much something weighs. Units can be kilograms (kg) or grams (g).

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Sum (Definition)

In math, the total amount of something after adding two or more values together is called the sum.

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Adding Like Units

To find the total amount of something, we can combine smaller amounts together using addition. This is called adding like units.

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Liquid Volume

A quantity of liquid, measured in millilitres (mL).

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Rounding to the nearest hundred

Rounding a number to the nearest hundred means finding the closest multiple of 100. If the tens digit is 5 or more, round up. If it's less than 5, round down.

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Rounding time to the nearest ten minutes

To round a time to the nearest ten minutes, look at the minutes digit. If it's 5 or more, round the minutes up to the next ten. If it's less than 5, keep the minutes the same.

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Number Line

A number line is a visual tool that helps you understand the relative position of numbers and their relationships.

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What is a number line?

A number line is a visual tool used to show the relative positions of numbers. It's a straight line with equal intervals marked with numbers.

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Rounding to the nearest hundred

To round a number to the nearest hundred, look at the tens digit. If it's 5 or more, round up to the next hundred. If it's less than 5, keep the hundreds digit the same.

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Rounding time to the nearest ten minutes

Rounding a time to the nearest ten minutes means finding the closest ten-minute mark. If the minutes are 5 or more, round up to the next ten minutes. If they are less than 5, keep the ten minutes the same.

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Study Notes

Multiplication and Division Problems

  • Repeated Addition and Multiplication: Example problem: 4 groups of 3 stars. The repeated addition sentence is 3 + 3 + 3 + 3 = 12. The multiplication sentence is 4 x 3 = 12.

  • Multiplication Arrays: A picture showing rows and columns of objects. Example problem: 4 rows of hearts with 3 hearts in each row. The multiplication equation is 4 x 3 = 12.

  • Multiplication Equations: Find the solution when given parts of an array. Example problem: 3 rows of 6. The multiplication equation would be 3 x 6 = 18 showing 18 total objects in the array.

  • Division Problems: Find the solution when dividing objects into equal groups. Example problem: 12 glue sticks divided into 4 equal groups. The division equation is 12 ÷ 4 = 3.

  • Division Arrays: A picture that shows array problems with finding the answer of a division statement.

  • Multiplication and Division Word Problems: Real-world situations requiring multiplication or division. Example problems involving objects like stickers, marbles, cupcakes or other items are provided in the document.

Commutative Property

  • Commutative Property of Multiplication: The order of the factors does not change the product. Example: 2 x 5 = 5 x 2.

Unknown Factors

  • Unknown Factor: Students need to figure out a missing factor in a multiplication equation. Example problem: 6 x ? = 12 has a solution of 2

Measurement in Arrays and Word Problems

  • Word problems involving length measurements and quantities. Example: Laina buying 14 meters of ribbon to find the length of each of 2 equal cut ribbons.

Solving Problems with Tape Diagrams

  • Tape Diagrams: Visual models to help solve word problems involving addition, subtraction, multiplication and division.

Various Problem Formats

  • Missing Value Problems: The question provides part of the equation and students need to find the unknown value.

Mixed Review Problems

  • Mixed Review Problems: Questions covering different parts of multiplication and division. Example: Multiple problems involving finding the number of items, total items in groups, and equal distributions of items into groups

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Related Documents

Mrs. Robinson 3rd Grade Final Exam PDF

Description

This quiz covers various multiplication and division concepts including repeated addition, multiplication arrays, and division problems. You will explore how to solve equations and real-world word problems related to these operations. Test your understanding of how multiplication and division apply in different scenarios.

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