1 ESO - Unit 1 - Exercises 1.5
- 1. UNIT 01 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 1º ESO Exercises - 1.5.1
- 2. UNIT 01 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 1º ESO Exercises - 1.5.2
- 3. UNIT 01 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 1º ESO Exercises - 1.5.3
- 4. UNIT 01 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 1º ESO Exercises - 1.5.4