Q9. The sum of two integers is 116. If one of them is −79 , find the other integers.Q10. Write five pair of integers (m,n) such that m÷n=−3. One of such pair is (−6,2Q11. What number should be added to the sum of 345 and 67 to make it equal to the 3-digit numberQ12. Verify the following:(−22)×[(−4)+(−5)]=[(−22)×(−4)]+[(−22)×(−5)]
Q. Q9. The sum of two integers is 116. If one of them is −79 , find the other integers.Q10. Write five pair of integers (m,n) such that m÷n=−3. One of such pair is (−6,2Q11. What number should be added to the sum of 345 and 67 to make it equal to the 3-digit numberQ12. Verify the following:(−22)×[(−4)+(−5)]=[(−22)×(−4)]+[(−22)×(−5)]
Find Integer x: Let's call the other integer x. We know that −79+x=116. To find x, we add 79 to both sides of the equation.x=116+79x=195
Pairs of Integers: Now let's find five pairs of integers m,n such that m÷n=−3. We already have one pair (−6,2). Let's find four more. Second pair: (3,−1) because 3÷−1=−3. Third pair: (−9,3) because −9÷3=−3. Fourth pair: (6,−2) because 6÷−2=−3. Fifth pair: (−12,4) because m÷n=−30.
Add to Make 3-Digit: To find the number that should be added to the sum of 345 and 67 to make it a 3-digit number, we first add 345 and 67.345+67=412Since 412 is already a 3-digit number, we don't need to add anything.
Verify Equation: Let's verify the equation (−22)×[(−4)+(−5)]=[(−22)×(−4)]+[(−22)×(−5)].First, calculate the left side:(−22)×[(−4)+(−5)]=(−22)×(−9)=198Now, calculate the right side:[(−22)×(−4)]+[(−22)×(−5)]=(88)+(110)=198Since both sides equal 198, the equation is verified.
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