5 Steps to Multiply Rational Numbers in Fraction Form | Grade 7 Math | 7.NS.A.2 💚

In this math video we will learn 5 steps to multiply rational numbers in fraction form.

Step 1: Determine the SIGN of the product. Write +/- in Step 5 Box. Same Signs - The product of two values with the SAME sign will ALWAYS be POSITIVE. Different Signs - The product of two values with DIFFERENT signs will ALWAYS be NEGATIVE.
Step 2: If necessary, write mixed numbers as improper fractions.
Step 3: Multiply the numerators.
Step 4: Multiply the denominators.
Step 5: If necessary, simplify the fraction.

We will practice by completing four multiplication problems - a positive times a positive, a positive times a negative, a negative times a positive and a negative times a negative.

Exemplar solutions are modeled and explained using a graphic organizer.

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00:00 Introduction
00:12 Lesson Objective & Essential Question
00:41 5 Steps to Multiply Positive & Negative Fractions
01:05 Same Signs Rules for Multiplying & Dividing
02:06 Graphic Organizer to Multiply Fractions
02:19 Student Practice #1
02:30 Write the Problem
02:37 Step 1 - Determine the Sign of the Product
03:02 Step 2 - Write Mixed Numbers as Improper Fractions
03:27 Step 3 - Multiply the Numerators
03:44 Step 4 - Multiply the Denominators
03:52 Step 5 - Simplify the Fraction
04:16 The Solution to Practice #1
04:42 Student Practice #2
06:11 Student Practice #3
08:37 Student Practice #4
09:51 Wrap Up

Grade 7 Mathematics
The Number System
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
7.NS.A.2.a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
7.NS.A.2.b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real- world contexts.
7.NS.A.2.c Apply properties of operations as strategies to multiply and divide rational numbers.
7.NS.A.2.d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.


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