Operations on Integers

Mathematics — First Preparatory

Worked examples

Comparison aspect	Main idea	Keywords
Example 1	Find (−7) + (−5) + 3	Find
Solution	(−7) + (−5) = −12 then −12 + 3 = −9	then
Example 2	Find (−15) − (−6)	Find
Solution	(−15) + 6 = −9 because −15 has the larger absolute value	becauselargerabsolutevalue
Example 3	Find (−3) × (−4) × 2	Find
Solution	(−3) × (−4) = 12 then 12 × 2 = 24. There are two negative factors so the product is positive	thennegativefactorsproduct
Example 4	Find (−36) ÷ 4 + 2 × (−5)	Find
Solution	First do the division and the multiplication: (−36) ÷ 4 = −9 and 2 × (−5) = −10. Then add: −9 + (−10) = −19	FirstdivisionmultiplicationThen
Example 5 (the hardest)	Find 5 − (3 − 8) × (−2)	Find
Solution	Start with the bracket: 3 − 8 = −5. Then multiply: (−5) × (−2) = 10. Then subtract: 5 − 10 = −5	StartbracketThenmultiply

Operations on Integers · 5 / 7