Chapter 1 - Standard Form - Exercise 2o6r4z

Mathematics Form 4 Lesson 01: Significant figures.

F4AM00401F

ACTIVITY SHEET Pupils’ copy QUESTION 1 Question: Determine the numbers of significant figures in each of the numbers given below: a) 48.173 5 b) 0.049 271 c) 26 078 d) 1.005 Solution:

QUESTION 2 Question: Express each of the following numbers correct to 3 significant figures: a) 0.003 219 b) 38.270 01 c) 234 900 d) 7 891 Solution:

Learning Area: Understand and use the concept of significant figures 1/5

Mathematics Form 4 Lesson 01: Significant figures.

F4AM00401F

QUESTION 3 Question: Express each of the following numbers correct to 4 significant figures: a) 0.040 862 b) 51.008 9 c) 349 781 d) 19 983 Solution:

QUESTION 4 Question: Evaluate the following and state your answer correct to 2 significant figures. a) 2.9 × 3.01 b) 0.8 × 1.2 c) 34 000 ÷ 17 d) 9 ÷ 0.3 Solution:

Learning Area: Understand and use the concept of significant figures 2/5

Mathematics Form 4 Lesson 01: Significant figures.

F4AM00401F

QUESTION 5 Question: In an experiment, it is found that a light takes 0.46457 second to get from point A to point B in a straight line. State the time taken correct to a) 2 significant figures. b) 3 significant figures c) 4 significant figures Solution:

Learning Area: Understand and use the concept of significant figures 3/5

Mathematics Form 4 Lesson 01: Significant figures.

F4AM00401F

ACTIVITY SHEET Teacher’s copy QUESTION 1 Question: Determine the numbers of significant figures in each of the numbers given below: e) 48.173 5 f) 0.049 271 g) 26 078 h) 1.005 Solution: a) 6 b) 5 c) 5 d) 4

QUESTION 2 Question: Express each of the following numbers correct to 3 significant figures: e) 0.003 219 f) 38.270 01 g) 234 900 h) 7 891 Solution: a) 0.003 22 b) 38.3 c) 235 000 d) 7 890

QUESTION 3 Question: Express each of the following numbers correct to 4 significant figures: e) 0.040 862 f) 51.008 9 g) 349 781 h) 19 983 Solution: a) 0.040 86 b) 51.01 c) 349 800 d) 19 990

Learning Area: Understand and use the concept of significant figures 4/5

Mathematics Form 4 Lesson 01: Significant figures.

F4AM00401F

QUESTION 4 Question: Evaluate the following and state your answer correct to 2 significant figures. e) 2.9 x 3.01 f) 0.8 x 1.2 g) 34 000 ÷ 17 h) 9 ÷ 0.3 Solution: a) 2.9 x 3.01 = 8.729 = 8.7 (correct to 2 significant figures) b) 0.8 x 1.21 = 0.968 = 0.97 (correct to 2 significant figures) c) 34 000 ÷ 16 = 2125 = 2100 ((correct to 2 significant figures) d) 6693 ÷ 3 = 2 231 = 2 200 (correct to 2 significant figures) QUESTION 5 Question: In an experiment, it is found that a light takes 0.46457 second to get from point A to point B in a straight line. State the time taken correct to d) 2 significant figures. e) 3 significant figures f) 4 significant figures Solution: a) 0.46 seconds (correct to 2 significant figures) b) 0.465 seconds (correct to 3 significant figures) c) 0.4646 second (correct to 4 significant figures)

Learning Area: Understand and use the concept of significant figures 5/5

Mathematics Form 4 Lesson 02: Standard form.

ACTIVITY SHEET Pupils’ copy QUESTION 1 Question: Write each of the following in standard form: a) 42 b) 0.06 c) 0.0804 d) 82 000 e) 7 000 000 Solution:

QUESTION 2 Question: Convert the numbers in standard form to single numbers. a) 1.2 x 104 b) 9.7 x 108 c) 2.37 x 10-6 d) 1.45 x 10-7 e) 9.8 x 10-9 Solution:

Learning Area: Understand and use the concept of standard form to solve problems.

Mathematics Form 4 Lesson 02: Standard form.

QUESTION 3 Question: Evaluate the following and give your answer in standard form: a) 6 x 0.004 75 b) 3 000 x 7 000 c) 15 000 x 2 000 d) 90 000 ÷ 300 e) 45 000 ÷ 90 f) 750 000 ÷ 500 Solution:

QUESTION 4 Question: Evaluate the following and give your answer in standard form: a) (2.9 x 10-2) + (3.9 x 10-1) b) 8.53 x 103 + 6.7 x 102 c) 1.4 x 105 – 6.4 x 104 d) 10-6 – 2 x 10-2 e) 1.3 x 103 – 4.1 x 102 Solution:

Learning Area: Understand and use the concept of standard form to solve problems.

Mathematics Form 4 Lesson 02: Standard form.

QUESTION 5 Question: There are 127 242 ships calling at the port of Port Klang in1995. a) Write the exact value of 127 242 in standard form. b) The total tonnage of these ships was 846 million tonnes. Calculate the average tonnage per ship in 1995. Give your answer in standard form. Solution:

Learning Area: Understand and use the concept of standard form to solve problems.

Mathematics Form 4 Lesson 02: Standard form.

ACTIVITY SHEET Teacher’s copy QUESTION 1 Question: Write each of the following in standard form: a) 42 b) 0.06 c) 0.0804 d) 82 000 e) 7 000 000 Solution: a) 4.2 x 101 b) 6 x 10-2 c) 8.04 x 10-2 d) 8.2 x 104 e) 7.0 x 106

QUESTION 2 Question: Convert the numbers in standard form to single numbers. a) 1.2 x 104 b) 9.7 x 108 c) 2.37 x 10-6 d) 1.45 x 10-7 e) 9.8 x 10-9 Solution: a) 12 000 b) 970 000 000 c) 0.000 002 37 d) 0.000 000 145 e) 0.000 000 009 8

Learning Area: Understand and use the concept of standard form to solve problems.

Mathematics Form 4 Lesson 02: Standard form.

QUESTION 3 Question: Evaluate the following and give your answer in standard form: a) 6 x 0.004 75 b) 3 000 x 7 000 c) 15 000 x 2 000 d) 90 000 ÷ 300 e) 45 000 ÷ 90 f) 750 000 ÷ 500 Solution: a) 0.0285 b) 2.1 x 107 c) 3.0 x 107 d) 5.0 x 102 e) 1.5 x 103

QUESTION 4 Question: Evaluate the following and give your answer in standard form: a) (2.9 x 10-2) + (3.9 x 10-1) b) 8.53 x 103 + 6.7 x 102 c) 1.4 x 105 – 6.4 x 104 d) 10-6 – 2 x 10-2 e) 1.3 x 103 – 4.1 x 102 Solution: a) 4.19 x 10-1 b) 9.2 x 103 c) 7.6 x 104 d) – 1.999 x 10-2 e) 8.9 x 102 QUESTION 5 Question: There are 127 242 ships calling at the port of Port Klang in1995. c) Write the exact value of 127 242 in standard form. a) The total tonnage of these ships was 846 million tonnes. Calculate the average tonnage per ship in 1995. Give your answer in standard form. Solution: a) 1.272 42 x 105 b) 6.648748 x 103

Learning Area: Understand and use the concept of standard form to solve problems.