Unit 2 - Exercises and Problems (Integers)

7/27/2019 Unit 2 - Exercises and Problems (Integers)

1/9

Colegio Ntra. Seora del Prado (Ciudad Real) Jess Rodrguez

[1]

UNIT 2

INTEGER NUMBERS

1. INTRODUCTION

A. Key activities

1. Expresa el nmero entero asociado a estas situaciones:

a) La temperatura ambiente es de 5 grados bajo cero.

b) La ciudad est a 650 metros sobre el nivel del mar.

c) Julin tiene unos ahorros de 400 euros.

d) Ana est en el segundo stano del edificio.

e) El buceador se encuentra a 15 metros de profundidad.

2. Draw the following numbers in a number line (4, -5, -3, 2, 0, 1, -1, 6)

3. For the following numbers (-9, 5, -3, 7, 0, -8, 4, -2)

a) Write and calculate its absolute value and plot them

b) Plot them in a number line

4. Draw in a number line the numbers whose absolute value is 4.

5. Find the number with absolute value 8 and located to the right of 0 in the number

line.

6. Find the opposite number of the following numbers (-4, 8, 15, -301, 4, -11, -200,

1001)

7. Calculate the opposite number of the opposite number of -5, 6 and -8. Can you

extract any conclusion from the obtained results?

8. Order the following numbers (-3, 6, 0, -8, 4, -1) from the lowest to the highest and

draw them using a number line.

9. Order the following numbers (5, -2, 6, 0, -4, 3) in descending order and represent

them in a number line.


2/9


[2]

B. Excellence activities

10. Use an integer to indicate the following facts:

a) The plane is flying at 9,500 metres.

b) Minimun temperature yesterday was 3C below zeroc) The car is in the parking second floor.

d) Sergio owes me 25 euros.

e) Pithagoras was born in 750 b.C.

11. Find the number whose absolute value is 7 and is located between -8 and -6.

12. Order the following numbers (7, -4, 5, 0, -1, 2) in ascending order and represent

them in a number line.

2. ADDITIONS AND SUBSTRACTIONS (NO BRACKETS)

A. Key activities

13. Calculate

a) (+5) + (+3) b) (+4) + (+2) c) (+3) + (+8) d) (+6) + (+9)

e) (+4) + (+7) f) (+5) + (+6) g) (+2) + (+9) h) (+1) + (+8)

14. Calculate

a) 6+5 b) 5+2 c) 7+8 d) 9+4 e) 6+2 f) 7+3

15. Calculate

a) 5+3+4 b) 3+5+1 c) 9+4+5 d) 6+2+9 e) 8+5+2

16. Calculate

a) -6-5 b) -5-2 c) -7-8 d) -9-4 e) -6-2 f) -7-3

17. Calculate

a) -5-3-4 b) -3-5-1 c) -9-4-5 d) -6-2-9 e) -8-5-2

18. Calculate

a) 5-3 b) 7-5 c) 6-9 d) 8-2 e) 9-12 f) 13-8

g) 3-8 h) -8+3 i) 6+4-2 j) 6-3+5 k) -8+4-5


3/9


[3]

19. Calculate


20. Calculate


4/9


[4]

3. ADDITIONS AND SUBSTRACTIONS (BRACKETS)

A. Key activities

21. Calculate

a) (+5) + (-3) b) (+4) + (-2) c) (+3) + (-8) d) (+6) + (-9)

e) (+4) - (+7) f) (+5) - (+6) g) (+2) - (+9) h) (+1) - (+8)

i) (+7)(-2) j) (+3)(-5) k) (+2)(-9) l) (+6)(-3)

m) 5 + (-3) n) 4 + (-2) o) 3 + (-8) p) 4 - (+7)

q) 5 - (+6) r) 2 - (+9) s) 7(-2) t) 3(-5)

u) 2(-9) v) (-3) + (-5) w) (-4)(+9) x) (-7)(-4)

22. Calculate

a) (+5) + (-3)(+2) 0 b) (-3)(-6)(+2) 1 c) (+4)(-3) + (-6) 13

d) -7 + (-5) (-2) -10 e) (-9) + 7(+3) -5 f) 6 + (-4) 7 -5

g) (-5) + (-4) -5 + 9 -5 h) 86 + (-3) (-2) 1

23. Calculate


5/9


[5]


24. Calculate

a) (+6) + (-5) b) (+7) + (-9) c) (+2) + (-9) d) (+9) + (-)

e) (+8) - (+7) f) (+5) - (+3) g) (+8) - (+9) h) (+1) - (+9)i) (+5)(-2) j) (+3)(-4) k) (+8)(-9) l) (+6)(-9)

m) 2 + (-3) n) 4 + (-6) o) 5 + (-8) p) 4 - (+3)

q) 7 - (+6) r) 2 - (+3) s) 4(-2) t) 3(-8)

u) 4(-9) v) (-3) + (-4) w) (-8)(+9) x) (-7)(-5)

25. Calculate

a) (+3) + (-4)(+6) -7 b) (-5)(-9)(+8) -4 c) (+6)(-7) + (-3) 10

d) -4 + (-1) (-4) -1 e) (-5) + 7(+9) -7 f) 5 + (-8) 4 -7

g) (-4) + (-5) -6 + 8 -7 h) 57 + (-2) (-7) 3

26. Calculate


6/9


[6]

4. MULTIPLICATIONS AND DIVISIONS

A. Key activities

27. Calculate

a) (+7) (8) b) (6) (9) c) (+5) (+11)

d) (+5) (12) e) (3) (+20) f ) (5) (15)

28. Calculate

a) (5) (+2) (3) b) (4) (1) (7)

c) (+ 4) (+5) (2) d) (+6) (3) (1)

29. Calculate

a) (+24) : (8) b) (140) : (+7) c) (130) : (13)

d) (+77) : (7) e) (18) : (1) f ) (156) : (13)

30. Calculate

a) (18) : (+6) (3) 9 b) (24) : (+6) (2) 8

c) (+54) : (6) : (+3) -3 d) (+42) : (7) : (+2) -3


31. Calculate

a) (+4) (8) b) (6) (4) c) (+5) (+3)

d) (+3) (12) e) (3) (+2) f ) (5) (12)

32. Calculate

a) (4) (+2) (6) b) (5) (8) (7)

c) (+ 3) (+6) (3) d) (+3) (3) (2)

33. Calculate

a) (+40) : (8) b) (98) : (+7) c) (39) : (13)

d) (+77) : (11) e) (28) : (2) f ) (144) : (12)

34. Calculate

a) (30) : (+6) (3) 15 b) (18) : (+3) (6) 36

c) (+44) : (11) : (+2) -2 d) (+64) : (8) : (+4) -2


7/9


[7]

5. COMBINED OPERATIONS (NO BRACKETS)

A. Key activities

35. Calculate

8. Excellence activities

36. Calculate


8/9


[8]

5. COMBINED OPERATIONS (BRACKETS)

A. Key activities

37. Calculate

8. Excellence activities

38. Calculate


9/9


[9]

6. DISTRIBUTIVE PROPERTY AND COMMON FACTOR

A. Key activities

39. Use the distributive property to calculate

a) 2 x ( 3 + 2) 10 b) (-6) x (7 2) -30

c) (-4) x (8+3) -44 d) (-9) x [5 + (-2)] -27

40. Apply the distributive property to find the result.

a) (-9) x [8 + (-9)] -153 b) 2 x [(-10) + 3] -14

c) (-5) x [(-3) + 6] -15 d) (-3) x [(-6) + 8 + 2 ] -12

41. Find the result in two different ways

a) 3 x [(-7) + (-10)] -51 b) (-5) x [12 + (-14)] -40

42. Using first common factor, calculate the result of the following operations

a) 9 x 3 + 9 x 4 63 b) (-3) x 5 + (-3) x 7 -36

b) 4 x (-3) + 4 x 5 8 d) 2 x (-4) + 6 x (-4) -32

43. Find the result of the following operations after using common factor

a) (-5) x 7 + (-5) x (-12) 25 c) 5 x 9 + 5 x (-11) -10

d) (-9) x (-12) + (-9) x 13 -9 d) 6 x 3 + 6 x 5 + 6 x (-4) 24

6. WORD PROBLEMS

A. Key activities

44. Ayer a las 20.00, el termmetro marcaba 2C. A las 00.00 la temperatura descendi

5 grados. Qu temperatura marcaba el termmetro a las 00.00? -3C

45. Un avin vuela a 3 500 metros y un submarino est sumergido a 40 metros. Qu

altura en metros los separa? 3.540 m

46. Elisa gana 18 euros cada noche que se queda cuidando a los nios de una familia.

Cuntos euros gana si se queda 4 noches? 72 euros

47. Daniel ha ido al hospital a visitar a un amigo. Ha subido al ascensor y ha pulsado la

planta en la que est su amigo, pero antes de llegar ha hecho el siguiente recorrido:

1. Sube 5 pisos. 2. Baja 7 pisos 3. Sube 10 pisos. 4. Sube 4 pisos. 5. Baja 3 pisos.

En qu planta se encuentra su amigo? Novena

48. Aristotle was bornin 384 B.C. and died in 322 BC. How old was he when he died?

62

Documents

Unit 2 - Exercises and Problems (Integers)