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Mastering Multiplying and Dividing Integers

Embrace the rules of multiplying and dividing integers with ease, putting an end to confusion once and for all. Learn the principles, practice with examples, and understand the signs for positive and negative results. Become an expert in no time!

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Mastering Multiplying and Dividing Integers

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  1. Multiplying and Dividing Integers My momma says that I’m confused about 99% of the time. Is that a lot? Let the confusion END!

  2. Multiplying and Dividing Integers Can we make this quick? I can’t be late for my fried Twinkie eating contest. Awesome! Sparky hungry… very hungry! I will try and make this as quick as possible!

  3. Multiplying Integers + × + = + Whenever you multiply two “like” signs, the product is always positive. -×-=+ and + × - = - Whenever you multiply two “opposite” signs, the product is always negative. -× + = -

  4. Dividing Integers + ÷ + = + Whenever you divide two “like” signs, the quotient is alwayspositive. -÷-=+ and + ÷ - = - Whenever you divide two “opposite” signs, the quotient is alwaysnegative. -÷ + = -

  5. Let’s Put Them Side-by-Side Multiplying Dividing 5 × 5 = 25 9 ÷ 3 = 3 –3 × (–4) = 12 –10 ÷ (–2) = 5 and and 16 ÷ (–2) = –8 7 × (–3) = –21 –6 × 1 = –6 –9 ÷ 9 = –1 The rules for multiplying and dividing integers are exactly the same!

  6. Multiplying and Dividing Integers Does this mean I won’t have to remember two sets of rules? That’s kinda like the two-for-one chili-dipped monster burrito deal over at Tangy Tacos! That’s exactly what it means! I’ll take your word for it!

  7. Let’s Practice! Multiply or divide. Answers.

  8. Multiplying and Dividing Integers It’s a gift! But what if I have to multiply or divide more than two integers at once? That’s an excellent question!

  9. Multiplying and Dividing Integers Whenever you multiply and/or divide an expression with an evennumber of negative integers, your answer will always be positive. Whenever you multiply and/or divide an expression with an oddnumber of negative integers, your answer will always be negative.

  10. Multiplying and Dividing Integers – 48 Example. 1: –2 × (–3) × 4 × (–2) = Since there are 3 negative integers, the answer must be negative. Then, multiply from left to right to find the product. 2 Ex. 2: –32 ÷ 2 ÷ 4 ÷ (–2) = 2 negative integers means a positive quotient. 70 Ex. 3: 25 ÷ (–5) × 4 ÷ (–4) × (–2) × (–7) = 4 negative integers means a positive answer. Then, multiply and divide from left to right .

  11. Multiplying and Dividing Integers So I just count negative signs to determine the sign of my answer? Then I can forget the signs and just multiply or divide? That’s it!An even number equals a positive answer and an odd number equals a negative answer. That’s right! Let’s practice!

  12. Multiplying and Dividing Integers Multiply and/or divide. –21 1. –6 ÷ 2 × 7 = –12 2. –4 × (–6) ÷ (–2) = 20 3. 20 ÷ (–4) × 2× 8 ÷ (–4) = 5 4. –1 × (–3) × 10 ÷ (–2) ÷ (–3) = –5 5. –6 ÷ (–3) × 7 ÷ (–7) × (–20) ÷ (– 8) =

  13. Multiplying and DividingIntegers So, how’d you do on the practice problems, Sparky? I might have to consider myself a multiplying and dividing integers’ ace, sir! You can congratulate me after I destroy a couple dozen fried Twinkies! Congratulations!

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