Mathematics Grade 5 15 min

Multiply by 1

Multiply by 1

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Introduction & Learning Objectives

Learning Objectives State the Identity Property of Multiplication and identify 1 as the multiplicative identity. Multiply any whole number, fraction, or decimal by 1 and predict the product. Recognize that any fraction with the same numerator and denominator (e.g., 7/7) is a form of 1. Use multiplication by a form of 1 to generate equivalent fractions. Apply the concept of multiplying by 1 to solve word problems involving various number types. Verify calculations and identify errors by applying the rule of multiplying by 1. If you have 17 pizzas and I give you 1 time that amount, how many pizzas do you have? 🍕 Let's explore the magic number that doesn't change a thing! In this lesson, you will explore one of the most important rules in all of math: the Identity P...
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Key Concepts & Vocabulary

TermDefinitionExample Identity Property of MultiplicationA rule stating that any number multiplied by 1 will result in that same number. The number's 'identity' does not change.45.2 * 1 = 45.2 Multiplicative IdentityThe number that, when multiplied by any other number, leaves the other number unchanged. In our number system, the multiplicative identity is 1.In the equation 1,289 * 1 = 1,289, the number 1 is the Multiplicative Identity. ProductThe answer or result of a multiplication problem.In 5 * 1 = 5, the number 5 is the product. FactorA number that is multiplied with another number to get a product.In 3/4 * 1 = 3/4, both 3/4 and 1 are factors. A Form of 1Any fraction where the numerator and the denominator are the same non-zero number. These fractions are all equal to 1...
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Core Formulas

The Identity Property of Multiplication a * 1 = a Use this rule for any number 'a' (which can be a whole number, decimal, or fraction). When you multiply it by 1, the answer is always the original number. The Commutative Property with 1 1 * a = a This shows that the order of multiplication with 1 does not matter. Whether you multiply a number by 1 or 1 by that number, the result is the same. The Rule for a Form of 1 n / n = 1 (where n is not 0) Any non-zero number divided by itself is equal to 1. We use this to create fractions that are forms of 1, which are essential for finding common denominators and equivalent fractions.

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Sample Practice Questions

Challenging
If (5/6) × (x/x) = 35/42, what is the value of the expression (x + 3.5) × 1?
A.7
B.10.5
C.45.5
D.38.5
Challenging
A classmate says, 'Multiplying by 1 is a useless step because the number never changes.' Which statement best explains why this is incorrect?
A.Multiplying by 1 can sometimes change the number's value.
B.The rule only applies to whole numbers, not fractions or decimals.
C.Multiplying by 1 is the same as adding 1, which is useful.
D.Multiplying by a 'form of 1' like 5/5 is essential for creating equivalent fractions, a very useful process.
Challenging
A recipe for one full batch of cookies requires 2.5 cups of flour. You decide to make exactly one batch. You have a giant container with 50 cups of flour. How many cups of flour will you use?
A.2.5 cups
B.50 cups
C.52.5 cups
D.47.5 cups

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