Worksheet 1 - Integers

Worksheet 1 – Integers MTH1W Jensen Unit 1 – Number Sense 1) Evaluate: a) −3 + (−2) 3 i) −8 − (−4) − (+4) e) (−4) − (−5) 2 4 5 8 1 b) 2 + (−3) j) 4 + (−15) − (−15) f) 2 + (−6) 2 3 4 15 15 2 6 1 4 4 c) −8 + 8 g) 5 + (−7) 0 k) −4 − 5 − 6 15 2 d) −6 − 4 h) −3 + 4 − 7 l) −7 − 7 + (−7) 6 10 44 7 7 7 21 2) Circle the expression that has the greatest value: Option 1: −5 − 3 + 4 Option 3: 5 − (−3) − 10 Option 2: 4 − 3 − (−4) 4 5 2 3) The temperature in Red Rock is 4°C. What is the temperature after a rise of 5°C followed by a fall of 10°C? Temperature 4 5 10 1 C 4) Evaluate: a) (−3)(−2) e) (−4)(−9) i) −18 ÷ 18 36 1 6 b) 2(−3) f) (−3)(6)(−12) 6 j) −24 ÷ (−6) 4 216 c) 4(−3) g) 49 ÷ (−7) k) −81 ÷ (−27) 7 12 d) 5(4) 3 h) (−91) ÷ (−13) l) 51 ÷ (−17) 7 20 3 5) You owe the school $50 for a lost math book. The school has set up a payment program that will allow you to pay back the debt in 5 equal payments. How much will you have to pay for each payment? Amount of payment 59 10 6) The lowest recorded temperatures for three days in London are listed. Find the average low temperature for these days. Average 8 1 10 14 4 34 9 C 4 Monday -8°C Tuesday -10°C Wednesday -14°C Thursday -4°C 7) In a magic square, each row, column, and diagonal has the same sum. Find the integers that complete this magic square. +4 1 0 3 +1 5 +2 3 −2 8) Each bottle of Gatorade is supposed to contain 591 ml. 10 bottles are inspected and the results are shown in the table below: Bottle Amount below or above 591 ml 1 2 3 4 5 6 7 8 9 10 +5 0 −7 −1 +2 +11 −5 +6 +3 −2 a) What is the actual volume of the 7th bottle? volume 591 5 586m b) Calculate the total volume contained in all 10 bottles. Is this more or less than expected and by how much? Expectedamount Totalamount 101591 5910 12 5 7 1 2 11 5 6 3 5922 ml 2 10 591 5910m Thetotal volume of 5922m is 12mimorethanexpected Answer Key 1)a) −5 b) −1 c) 0 d) −10 e) 1 f) −4 g) −2 h) −6 i) −8 j) 4 k) −15 l) −21 2) 4 − 3 − (−4) = 5 3) −1℃ 4)a) 6 b) −6 c) −12 d) 20 e) 36 f) 216 g) −7 h) 7 i) −1 j) 4 k) 3 l) −3 5) $10 6) −9℃ 7) 8)a) 586 ml b) Total volume: 5922 ml; 12 ml above expected