4 ESO Academics - Unit 0 - Exercises 0.5

1. UNIT 00 September
1. Do the following operations:
a) 𝟏𝟏𝟏𝟏 ∙ ( 𝟏𝟏𝟏𝟏 + 𝟒𝟒) =
b) 𝟑𝟑 ∙ (𝟐𝟐 + 𝟏𝟏 + 𝟕𝟕) =
c) (𝟏𝟏𝟏𝟏 + 𝟑𝟑𝟑𝟑) ∙ 𝟓𝟓 =
d) 𝟓𝟓 ∙ ( 𝟏𝟏𝟏𝟏 + 𝟒𝟒𝟒𝟒) =
e) 𝟏𝟏𝟏𝟏𝟏𝟏 ÷ ( 𝟔𝟔 + 𝟑𝟑 ∙ 𝟖𝟖) − 𝟓𝟓 =
2. Solve using the correct order of operations.
a) 𝟓𝟓 + 𝟐𝟐 ∙ ( 𝟏𝟏𝟏𝟏 − 𝟐𝟐 ∙ 𝟓𝟓 + 𝟏𝟏) − 𝟑𝟑 =
b) 𝟏𝟏𝟏𝟏 − 𝟑𝟑 ∙ 𝟐𝟐 + 𝟑𝟑𝟑𝟑 ÷ (𝟓𝟓 − 𝟒𝟒 + 𝟑𝟑 ∙ 𝟐𝟐) =
3. Calculate the quotient and the remainder for each case:
a) 𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐 ÷ 𝟖𝟖
b) 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 ÷ 𝟐𝟐𝟐𝟐 =
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.5.1

2. UNIT 00 September
c) 𝟗𝟗𝟗𝟗𝟗𝟗𝟗𝟗 ÷ 𝟒𝟒𝟒𝟒 =
d) 𝟕𝟕𝟕𝟕𝟕𝟕𝟕𝟕 ÷ 𝟏𝟏𝟏𝟏𝟏𝟏 =
4. Work out and check the solution:
a) 𝟑𝟑𝟑𝟑 − 𝟒𝟒 ∙ (𝟓𝟓 + 𝟐𝟐) =
b) 𝟓𝟓 + 𝟑𝟑 ∙ (𝟖𝟖 – 𝟔𝟔) =
c) 𝟐𝟐 ∙ ( 𝟕𝟕 + 𝟓𝟓)– 𝟑𝟑 ∙ �𝟗𝟗 – 𝟒𝟒� =
d) 𝟑𝟑 ∙ 𝟓𝟓 − 𝟑𝟑 ∙ �𝟏𝟏𝟏𝟏 – 𝟒𝟒 ∙ 𝟐𝟐� =
5. Solve and prove that the position of the parenthesis affects the result:
a) 𝟓𝟓 ∙ �𝟖𝟖 – 𝟒𝟒� ÷ 𝟐𝟐 =
b) �𝟓𝟓 ∙ 𝟖𝟖 – 𝟒𝟒�÷ 𝟐𝟐 =
c) 𝟓𝟓 ∙ �𝟖𝟖 – 𝟒𝟒 ÷ 𝟐𝟐� =
6. Find the missing number using inverse operations.
a) 𝟖𝟖 + 𝒂𝒂 = 𝟏𝟏𝟏𝟏
b) 𝒃𝒃 − 𝟑𝟑𝟑𝟑 = 𝟗𝟗
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.5.2

3. UNIT 00 September
c) 𝟏𝟏𝟏𝟏 ∙ 𝒅𝒅 = 𝟒𝟒𝟒𝟒𝟒𝟒
d) 𝒚𝒚 ÷ 𝟑𝟑 = 𝟐𝟐𝟐𝟐𝟐𝟐
e) 𝟐𝟐𝟐𝟐 ∙ 𝒄𝒄 = 𝟏𝟏𝟏𝟏𝟏𝟏
f) 𝒇𝒇 − 𝟗𝟗𝟗𝟗 = 𝟏𝟏𝟏𝟏𝟏𝟏
7. Name the property of addition or multiplication used.
a) 𝟔𝟔𝟔𝟔 + 𝟑𝟑𝟑𝟑 + 𝟐𝟐𝟐𝟐 = 𝟐𝟐𝟐𝟐 + 𝟔𝟔𝟔𝟔 + 𝟑𝟑𝟑𝟑
b) ( 𝟏𝟏𝟏𝟏 ∙ 𝟓𝟓) ∙ 𝟒𝟒 = 𝟏𝟏𝟏𝟏 ∙ (𝟓𝟓 ∙ 𝟒𝟒)
c) ( 𝟒𝟒𝟒𝟒 + 𝟗𝟗) + 𝟔𝟔 = 𝟒𝟒𝟒𝟒 + (𝟗𝟗 + 𝟔𝟔)
d) 𝟗𝟗𝟗𝟗 + 𝟎𝟎 = 𝟗𝟗𝟗𝟗
e) 𝟖𝟖𝟖𝟖 ∙ 𝟎𝟎 = 𝟎𝟎
f) 𝟏𝟏𝟏𝟏 ∙ 𝟏𝟏𝟏𝟏 = 𝟏𝟏𝟏𝟏 ∙ 𝟏𝟏𝟏𝟏
g) 𝟐𝟐 ∙ ( 𝟑𝟑𝟑𝟑 ∙ 𝟖𝟖) = (𝟐𝟐 ∙ 𝟑𝟑𝟑𝟑) ∙ 𝟖𝟖
h) 𝟖𝟖𝟖𝟖 ∙ 𝟐𝟐𝟐𝟐 ∙ 𝟓𝟓𝟓𝟓 = 𝟐𝟐𝟐𝟐 ∙ 𝟖𝟖𝟖𝟖 ∙ 𝟓𝟓𝟓𝟓
i) 𝟎𝟎 ∙ 𝟒𝟒𝟒𝟒 = 𝟎𝟎
8. Copy each calculation and put brackets in to give the answer shown
a) 𝟓𝟓 + 𝟗𝟗 ∙ 𝟒𝟒 − 𝟐𝟐 = 𝟑𝟑𝟑𝟑
b) 𝟓𝟓 + 𝟗𝟗 ∙ 𝟒𝟒 − 𝟐𝟐 = 𝟐𝟐𝟐𝟐
c) 𝟓𝟓 + 𝟗𝟗 ∙ 𝟒𝟒 − 𝟐𝟐 = 𝟓𝟓𝟓𝟓
d) 𝟕𝟕 + 𝟏𝟏𝟏𝟏 − 𝟒𝟒 ∙ 𝟑𝟑 + 𝟏𝟏 = 𝟒𝟒𝟒𝟒
e) 𝟕𝟕 + 𝟏𝟏𝟏𝟏 − 𝟒𝟒 ∙ 𝟑𝟑 + 𝟏𝟏 = 𝟑𝟑𝟑𝟑
f) 𝟐𝟐𝟐𝟐 ÷ 𝟖𝟖 − 𝟓𝟓 − 𝟖𝟖 = 𝟎𝟎
g) 𝟏𝟏𝟏𝟏 ∙ 𝟓𝟓 − 𝟑𝟑 + 𝟕𝟕 = 𝟑𝟑𝟑𝟑
h) 𝟏𝟏𝟏𝟏 ∙ 𝟓𝟓 − 𝟑𝟑 + 𝟕𝟕 = 𝟏𝟏𝟏𝟏𝟏𝟏
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.5.3

4. UNIT 00 September
http://www.mathnook.com/math/bike-racing-math-division.html
http://www.mathnook.com/math/air-math-multiplication.html
More games:
http://www.mathnook.com/math/skill/divisiongames.php
http://www.mathnook.com/math/skill/multiplicationgames.php
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises - 0.5.4