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Calculations Using Sig Figs

Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5 21 In Chem 11, we will round 5s to the nearest even number

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Page 1: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Calculations Using Sig Figs

Page 2: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Rounding

• Some of us are used to always rounding 5s up• E.g. 20.5 21

• In Chem 11, we will round 5s to the nearest even number• E.g. 20.5 20 (20 is nearer than 22)• E.g. 21.5 22 (22 is nearer than 20)

Page 3: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number
Page 4: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Multiplication & Division

• Round the answer to the least number of sig figs contained in the question

• 2.391 x 4.5 = ?

Page 5: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Multiplication & Division

• 2.391 x 4.5 = ?

• 4 sig figs x 2 sig figs = ?

• 4 sig figs x 2 sig figs = 2 sig figs

• 2.391 x 4.5 = 10.7595

Page 6: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Multiplication & Division

• 2.391 x 4.5 = ?

• 4 sig figs x 2 sig figs = ?

• 4 sig figs x 2 sig figs = 2 sig figs

• 2.391 x 4.5 = 10.7595 11 (2 sig figs)

Page 7: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Multiplication & Division

• Practice: Hebden p.39 #56

Page 8: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Addition & Subtraction

• Round off the answer to the least precise number in the problem

• Remember that least precise means fewest decimal places

Page 9: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Addition & Subtraction

• 29.347 + 2.33 = ?

• 3 decimals + 2 decimals = ?

Page 10: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Addition & Subtraction

• 29.347 + 2.33 = ?

• 3 decimals + 2 decimals = 2 decimals

Page 11: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Addition & Subtraction

• 29.347 + 2.33 = ?

• 3 decimals + 2 decimals = 2 decimals

• 29.347 + 2.33 = 31.677 round to 2 decimals

Page 12: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Addition & Subtraction

• 29.347 + 2.33 = ?

• 3 decimals + 2 decimals = 2 decimals

• 29.347 + 2.33 = 31.677 round to 2 decimals

• 29.347 + 2.33 = 31.68 2 decimals, 4 sig figs

Page 13: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Addition & Subtraction

• 2.45 x 105 + 3.1 x 104 = ?

• Must convert to the same exponent to see which is less precise

• Always convert the smaller exponent into the larger one

Page 14: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Addition & Subtraction

• 2.45 x 105 + 3.1 x 104 = ?

• 2.45 x 105 + 0.31 x 105 = ?

Page 15: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Addition & Subtraction

• 2.45 x 105 + 3.1 x 104 = ?

• 2.45 x 105 + 0.31 x 105 = ?

• 2.45 x 105 + 0.31 x 105 = 2.76 x 105

Page 16: Calculations Using Sig Figs. Rounding Some of us are used to always rounding 5s up E.g. 20.5  21 In Chem 11, we will round 5s to the nearest even number

Practice

• Hebden p.28-34 #42-50, p.37 #55 (was HW)

• Add/subtract: Hebden p.40 #57

• All operations: Hebden p. 40 #58-59

• Hand in sig figs worksheet (online).