©G Dear 2010 – Not to be sold/Free to use Mathematics Basic Arithmetic Scientific Notation Stage 6 - Year 11 Press Ctrl-A ©G Dear 2010 – Not to be sold/Free to use

Scientific Notation Large Numbers (Also known as Standard Notation) Write 354 000 in scientific notation.   How? Move the decimal point to the standard position. (After the first non-zero number from the left.) 3.54 x 10? How many places is it from the red arrow to the purple arrow (where decimal point was)? (with direction)  +5 3.54 x 105

A B C D 3.751x103 3751x103 3751x101 37.51x102 3751 A B C D

A B C D 9.1x103 9.1x104 91x103 91x104 91000 A B C D

A B C D 904x100 90.4x101 9.04x102 904x102 904 A B C D

Scientific Notation Small Numbers Write 0.004 35 in scientific notation.   How? Move the decimal point to the standard position. (After the first non-zero number from the left.) 4.35 x 10? How many places is it from the red arrow to the purple arrow (where decimal point was)? (with direction) -3   4.35 x 10-3

A B C D 147x10-3 3751x10-3 1.47x10-1 14.7x10-2 0.147 A B C D

A B C D 3.4x10-4 3.4x10-3 34x10-3 34x103 0.0034 A B C D

A B C D 98x100 9.8x101 98x10-6 9.8x10-6 0.000098 A B C D