This resource was developed to meet the requirements of the 7th Grade Number Systems Standards below: CCSS.MATH.CONTENT.7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. How to divide Rational Numbers? Multiplying and dividing rational numbers 7.NS.A.2a - 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. To divide one rational expression by another, follow the same rules as dividing one fraction by another. 5.NF.B.3 — Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). 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 (21)(21) 5 1 and the rules for multiplying signed numbers. Determine the rules for dividing signed numbers.
Multiplying and dividing, Divide the absolute values, if the signs are the same the answer is positive, if the signs are different the answer is negative. To multiply two rational expressions, multiply the numerators together, and then multiply the denominators together. To divide two rational numbers, first flip the second number over (make it a reciprocal) and then do a multiply like above: Here is an example: Addition and Subtraction a. Multiplication. Multiplying & Dividing Rational Numbers with Integer Rules SCAVENGER HUNTS. Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. Multiplying and dividing rational expressions works just like multiplying and dividing fractions. Let us start with multiplication, as that is the easiest. To multiply rational numbers, we multiply the top numbers (numerators), multiply the bottom numbers (denominators) and simplify the answer when needed. To divide rational numbers, you turn the division problem into a multiplication problem by flipping the second rational number. As a shortcut, we can cancel factors first before we multiply. To multiply two rational numbers multiply the tops and bottoms separately, like this: Here is an example: Division. multiply and divide rational numbers.
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