Mathematics Grade 3 15 min

Choose numbers with a particular product

Choose numbers with a particular product

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1

Introduction & Learning Objectives

Learning Objectives Identify the whole number and unit fraction that multiply to create a given fractional product. Define a unit fraction as a fraction with a numerator of 1. Model the multiplication of a whole number and a unit fraction using a visual diagram. Explain that a fraction n/d is the product of the whole number 'n' and the unit fraction '1/d'. Write a multiplication equation that results in a specific fractional product. Solve simple word problems that require finding a whole number and unit fraction for a given product. If you ate 3 pieces of a chocolate bar that was split into 5 equal squares, how could you use multiplication to show the fraction you ate? 🍫 In this lesson, we will learn a special multiplication trick with fractions! We wi...
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Key Concepts & Vocabulary

TermDefinitionExample ProductThe answer you get when you multiply two or more numbers together.In 3 x 4 = 12, the product is 12. FractionA number that shows a part of a whole or a part of a group.1/2 means one part out of two equal parts. NumeratorThe top number in a fraction. It tells you how many equal parts you have.In the fraction 3/4, the numerator is 3. DenominatorThe bottom number in a fraction. It tells you how many equal parts the whole is divided into.In the fraction 3/4, the denominator is 4. Unit FractionA special fraction where the numerator is always 1. It represents one single equal part of a whole.1/4, 1/8, and 1/10 are all unit fractions. FactorsThe numbers that are multiplied together to get a product.In 5 x 1/6 = 5/6, the factors are 5 and 1/6.
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Core Formulas

The Unit Fraction \frac{1}{d} This is the form of any unit fraction. The numerator is always 1, and the denominator 'd' can be any whole number greater than 1. Multiplying a Whole Number by a Unit Fraction n \times \frac{1}{d} = \frac{n}{d} To find the product of a whole number 'n' and a unit fraction '1/d', the whole number 'n' becomes the new numerator, and the denominator 'd' stays the same.

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Sample Practice Questions

Challenging
I am a product, 'P'. To find me, you must multiply two different odd numbers that are both less than 10. Also, 1/3 of me must be a whole number. Which of the following could be my value, P?
A.15
B.35
C.7
D.25
Challenging
The product of three different numbers is 24. One of the numbers is 1/2 of 4. The other two numbers add up to 7. What are the three numbers?
A.1, 6, 4
B.2, 5, 2
C.2, 1, 12
D.2, 3, 4
Challenging
The product of two numbers, A and B, is 72. Number A is 1/3 of 24. Number B is 1/2 of a number C. What is the value of C?
A.8
B.9
C.18
D.36

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