Index Notation Saturday, 27 April 2019

Example Work out each of the following a) 2 4 b) 3 3 c) 10 2 d) 10 5 e) 10 −2 Negative Indices

Example Work out each of the following a) 2 −3 b) 3 −2 c) 2 3 −2 d) 0.5 −2

Standard Form A number expressed in standard form is a number written between 1 and 10 multiplied by 10 to an appropriate power. The use of standard form is to represent very small numbers or very large numbers For example 32000 000 represented in standard form will be 214000 000 000 represented in standard form will be

Example Express each of the following in standard form 46200 90 000 5910 000 000 0.004 0.0000057

Example Express each of the following in standard form 0.000 000 462 0.000 0007 90 000 5910 000 000

Example Express each of the following as ordinary numbers (i) (ii) (iii) (iv)

Example The surface of the earth is about 509 970 000 km2. Express this in standard form correct to two significant figures.

Example Write the following list in order of size starting with the smallest , 27 000 000, , 0.000 44,

Example Without a calculator work out the following and give your answer in standard form. (a) 30 x 40 000 (b) 12 000 x 0.00005 (c) (d) (e)

Example Given that and work out, without a calculator (i) (ii)