significant numbers using standard form significant numbers int 2

Significant Numbers

Using Standard form

Significant NumbersSignificant Numbersw

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StarterStarter

3

(a) 3.5647 (b) 4.55732 (c) 3.98111

Q2. Write in standard form.

(a) 12300 (b) 0.0034 (c) 0.0005

(a) 2.8 x 10 (b) 1.19 x

Q1. Round the following to 2 decimals places.

Q3. Write out in full.

- 2 - 1 10 (c) 4.5 x 10ww

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Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To know the meaning of To know the meaning of significant number.significant number.

1. To understand theterm significant numbers for decimals and whole numbers. 2.2. Apply knowledge to Apply knowledge to

problems.problems.

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Significant NumbersSignificant Numbers

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In mathematics a figure or digit is significant if it gives an idea of both:

(i) Quantity(ii)Accuracy

It is similar to rounding and all to do with zero’s

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Decimal numbers

0.04

0.37

1 significant figures


What is the first

rule?0’s at the beginning DON’T count

1.04

0.306



What is the

second rule?0’s in the middle DO count

1.30

0.90



What is the third

rule?0’s a the end DO count

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Easy rule : Just remember 0’s at the beginning DON’T count

1.24

2.307

1.2

2.3

0.445

0.0162

0.45

0.016

0.003398

0.0103290

0.0034

0.010

Exercise : Round to 2 sig figures

55.24

12.307

55

12

0.08445

0.00106

0.084

0.0011

0.030467

0.0503990

0.030

0.050

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Whole Numbers

106

9087



What is the rule

360 ? 2 / 3 significant figures

0’s in the middle DO count

0’s at the end MAY or MAY NOTcount depending on the question.

There are 360 degrees in a circle.

358 to the nearest ten is 360.



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Easy rule : 0’s at the end MAY or MAY NOT count

15030

230

15000

230

17693

135

18000

140

1378409

1155

1400000

1200

Exercise : Round to 2 sig figures

55

1094

55

1100

445

50298

450

50000

10000

314

10000

310

Now try MIA Ex 1Ch16 (page 3)

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StarterStarter

5

(a) 26.555 (b) 434.815732 (c) 563.0844

Q2. Write in standard form.

(a) 58300 (b) 0.6734 (c) 0.09475

(a) 2.3 x 10 (b) 8

Q1. Round the following to 2 decimals places.

Q3. Write out in full.

- 3 - 2.99 x 10 (c) 6.5 x 10ww

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Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. Convert between and Convert between and normal form and scientific normal form and scientific notation.notation.

1. Work with a calculator to solve problems to specific significant figures. Also convert between normal form and scientific notation.

2.2. Use calculator to work Use calculator to work problems to a specific problems to a specific significant figures.significant figures.

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Standard Form / Scientific NotationStandard Form / Scientific Notation

na × 10

32.001×10

-25.6×10

Normal modeNormal mode

2001

1 ≤ a < 10n = Integer Number

0.056

564.7

4 Sig. fig.

2 Sig. fig.

4 Sig. fig.25.647 ×10

Standard form always indicates the number of significant figures

Now try MIA Ex 2Ch1 (page 5)

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significant numbers using standard form significant numbers int 2

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