www mathsrevision com Scientific Notation Standard form Scientific

www. mathsrevision. com Scientific Notation Standard form / Scientific Notation Quicker Method for Scientific Notation to Number Form Scientific Notation very small numbers 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level F Starter Questions X 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Learning Intention 1. To show to convert large number into Scientific Notation. 11/3/2020 Success Criteria 1. To know what the terms Scientific Notation means. 2. Convert numbers into Scientific Notation. Compiled by Mr. Lafferty Maths Dept.

Scientific Notation www. mathsrevision. com A number like 3800 can be written in a different way: 3800 = 380 x 10 3800 = 38 x 10 3800 = 3. 8 x 10 = 3. 8 103 is called the ‘standard form’ of 3800 It is also said to be in ‘scientific notation’ when the number at the start (3. 8) lies between 1 and 10. 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

Scientific Notation www. mathsrevision. com Example : Put 5200 in scientific notation 5200 = 520 x 10 5200 = 52 x 10 5200 = 5. 2 x 10= 5. 2 x 103 Example : put 264000 in scientific notation 264000 = 26400 x 10 = 2640 x 10 = 264 x 10 = 26. 4 x 10 = 2. 64 10 x 10 = 2. 64 x 105 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Now try Exercise 1 Ch 7 (page 37) 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level F Starter Questions 8 cm 12 cm Exchange Rate £ 1 =1. 40 € 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Learning Intention 1. To show a very quick way of putting a large number in scientific notation very quickly. 11/3/2020 Success Criteria 1. To understand use the quick method to put large numbers into scientific notation. Compiled by Mr. Lafferty Maths Dept.

Scientific Notation www. mathsrevision. com A very quick method for find the scientific notation: Example : Write 3800 in scientific notation 3. 8 Step 1 : move decimal point till it comes between 1 st and 2 nd digits Step 2 : now count how many places that you have moved the point. 4 Step 3 : finally write this number (4) as the power of 10. 11/3/2020 Compiled by Mr. Lafferty Maths Dept. 3. 8 x 104

Scientific Notation www. mathsrevision. com A very quick method for find the scientific notation: Example : Write 2740000 in scientific notation 2. 74 Step 1 : move decimal point till it comes between 1 st and 2 nd digits Step 2 : now count how many places that you have moved the point. 6 Step 3 : finally write this number (6) as the power of 10. 11/3/2020 Compiled by Mr. Lafferty Maths Dept. 2. 74 x 106

www. mathsrevision. com Scientific Notation Now try Exercise 2 Ch 7 (page 38) 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level F Starter Questions 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Learning Intention 1. To understand how to change large numbers from Scientific Notation to number form. 11/3/2020 Success Criteria 1. Know how to expand large numbers in scientific notation to number format. Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation To go from scientific notation to number form we do the reverse process. Example : Write out in full 9. 43 x 104 9. 34 x 104 = 9. 34 x 10 = 934 x 10 = 93400 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation To go from scientific notation to number form we do the reverse process. Example : Write out in full 1. 4 x 103 = 1. 4 x 10 = 14 x 10 = 1400 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Now try Exercise 3 Ch 31 (page 40) Q 1 to Q 3 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Quick method for going from scientific notation to number form: Example : Write 5. 78 x 104 in full Step 1 : Write down 578 without the point. Step 2 : Move the point 4 places to the right. 57800 2 zero’s are added for blank spaces. 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Quick method for going from scientific notation to number form: Example : Write 3. 92 x 103 in full Step 1 : Write down 392 without the point. Step 2 : Move the point 3 places to the right. 3920 11/3/2020 1 zero is added for blank spaces. Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Now try Exercise 3 Ch 7 (page 41) Q 3 to Q 7 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Level F Starter Questions 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Learning Intention 1. To understand how to change very small numbers into Scientific Notation and vice versa. 11/3/2020 Success Criteria 1. Know how to change very small numbers into scientific notation and how to do the reverse process. Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation It is possible to write very small decimal numbers in scientific notation Example : Write 0. 000456 in scientific notation 4. 56 Step 1 : move decimal point till it is after 1 st non zero digit Step 2 : now count how many places that you have moved the point. 4 Step 3 : finally write this number (4) as the negative power of 10. 11/3/2020 Compiled by Mr. Lafferty Maths Dept. 4. 56 x 10 -4

www. mathsrevision. com Scientific Notation It is possible to write very small decimal numbers in scientific notation Example : Write 0. 0258 in scientific notation 2. 58 Step 1 : move decimal point till it is after 1 st non zero digit Step 2 : now count how many places that you have moved the point. 2 Step 3 : finally write this number (2) as the negative power of 10. 11/3/2020 Compiled by Mr. Lafferty Maths Dept. 4. 56 x 10 -2

www. mathsrevision. com Scientific Notation Now try Exercise 4 Ch 7 (page 43) Q 1 to Q 2 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation It is possible to write very small decimal numbers in scientific notation Example : Write 0. 000456 in scientific notation 4. 56 Step 1 : move decimal point till it is after 1 st non zero digit Step 2 : now count how many places that you have moved the point. 4 Step 3 : finally write this number (4) as the negative power of 10. 11/3/2020 Compiled by Mr. Lafferty Maths Dept. 4. 56 x 10 -4

www. mathsrevision. com Scientific Notation It is possible to write very small decimal numbers in scientific notation Example : Write 0. 0258 in scientific notation 2. 58 Step 1 : move decimal point till it is after 1 st non zero digit Step 2 : now count how many places that you have moved the point. 2 Step 3 : finally write this number (2) as the negative power of 10. 11/3/2020 Compiled by Mr. Lafferty Maths Dept. 4. 56 x 10 -2

www. mathsrevision. com Scientific Notation Now try Exercise 4 Ch 7 (page 43) Q 1 to Q 2 11/3/2020 Compiled by Mr. Lafferty Maths Dept.

www. mathsrevision. com Scientific Notation Reversing the process scientific notation to a very small decimal number Example 1 : Write 1. 7 x 10 -3 in full Simply move the point 3 places to the left 0. 0017 Example 2 : Write 3. 5 x 10 -5 in full Simply move the point 5 places to the left 0. 00035 Example 3 : Write 2. 39 x 10 -4 in full Simply move the point 4 places to the left 11/3/2020 Compiled by Mr. Lafferty Maths Dept. 0. 000239

www. mathsrevision. com Scientific Notation Now try Exercise 4 Ch 7 (page 43) Q 3 to Q 9 11/3/2020 Compiled by Mr. Lafferty Maths Dept.