This document discusses adding and subtracting positive and negative rational numbers. It begins by stating the objectives which are for students to understand the differences between adding/subtracting versus multiplying/dividing positive and negative rational numbers. It also aims for students to be able to explain steps for adding/subtracting decimals and perform operations with whole numbers and fractions. The document then reviews steps for adding and subtracting fractions and decimals before introducing the rules for adding, subtracting, multiplying and dividing positive and negative rational numbers.
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Ever thought that having half a piece of chocolate will have mathematics in it?
Well we deal with fractions in our day to day life without realizing its significance. So, let's learn all about "Fractions" in this session.
We have covered following subtopics here:
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2. Decimal fractions
3. Proper & Improper fractions
4. Mixed fractions
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2. Objectives
Students will know the difference between adding/subtracting and
multiplying/dividing positive and negative rational numbers.
Students will be able to explain the steps to adding/subtracting decimals.
Student will able to add/subtract and multiply/divide whole numbers with
fractions.
3. Warm Up !!
Perform the following operation:
1. 5.346 + 3.594 = ?
2. ½ + ¼ = ?
3. 3 1/3 + ¾ = ?
4. Review: Adding and Subtracting
Fractions and Decimals
What is the first step when adding two FRACTIONS ?
1. When you are adding two fractions, the first thing you should do is if verify the denominator are the
same
2. If dominator are the same, add nominator and denominator.
3. if the denominator are different find the LCD (Least Common Factor) and multiply the denominator
and nominator
5. Review: Adding and Subtracting
Fractions and Decimals
What is the first step when adding two Decimals ?
1. Align the decimals
2. Perform regular addition
7. The “Rule” for Adding Negative and
Positive Rational Numbers
Fractions Decimals
8. The “Rule” for Multiplying/Dividing
Negative and Positive Rational
Numbers
Fractions Decimals
9. The “Rule” for Adding/Subtracting
and Multiplying/Dividing Negative
and Positive Rational Numbers
Fractions & Decimals
1. (+) + (+) = (+)
2. (+) + (-) = Subtraction and you take
the sign of the biggest number.
Fractions and Decimals
1. (+) x (+) = (+)
2. (-) x (-) = (+)
3. (+) x (-) = (-)
Analyze the pattern for adding/subtracting positive and negative rational numbers?
10. The “Rule” for Adding/Subtracting and
Multiplying/Dividing Negative and
Positive Rational Numbers
Group Discussion:
Identify the difference between adding/subtracting and
multiplying/diving?