Standard Form Multiplying Dividing Demonstration This resource provides

Standard Form – Multiplying & Dividing – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

A phone company sold 3 × 104 units last year. They plan to double their sales. Express this in standard form. 2× 3 × 104 = 6 × 104 4 × 106 A fast food company sold burgers last year. They plan to triple their sales. Express this in standard form. 3× 4 × 106 = 12 × 106 = 1. 2 × 107

A mobile phone app had 2. 4 × 103 downloads in its release month. The second month saw exponential growth & downloads were 100 times greater than the first month. Express this in standard form. 100 = 102 × 103 = 105 102 × 2. 4 × 103 = 2. 4 × 105 2 × 106 (2 million) pixels. 3 × 105 monitors. A company makes HD monitors. One TV has Last year the company sold How many pixels did the company manufacture? 2 × 106 The order for multiplication doesn’t matter. 2× 3 6 × 3 × 105 × 106 × 105 × 1011 600 billion

DEMO Multiplying with Standard Form Calculate: 2 × 103 2× 4 8 × 4 × 103 × 104 × 107 = 8 × 107

DEMO Multiplying with Standard Form Calculate: 5 × 102 5× 3 15 × 3 × 106 × 102 × 106 × 108 = 1. 5 × 109

DEMO YOUR TURN Multiplying with Standard Form Calculate: 5 × 102 5× 3 15 × 3 × 106 × 102 × 106 × 108 = 1. 5 × 109 1. 5 × 103 1. 5 × 3 4. 5 × 3 × 104 × 107 = 4. 5 × 107

DEMO YOUR TURN Multiplying with Standard Form Calculate: 5 × 102 5× 3 15 × 3 × 106 × 102 × 106 × 108 = 1. 5 × 109 6 × 105 6× 4 24 × 103 × 105 × 103 × 108 = 2. 4 × 109

DEMO Multiplying with Standard Form Calculate: a) 4 × 104 × 1. 2 × 105 = 4. 8 × 109 × 102 × 106 b) 7 × 106 × 3 × 102 = 2. 1 × 109 × c) 3 × 2. 5 × 104 × 6 × 107 = 4. 5 × 1012 d) 2. 7 × 10− 3 × 2 × 10− 4 = 5. 4 × 10− 7 e) 9 × 10− 3 × 7 × 106 = 6. 3 × 104 5 × 102 5× 3 15 YOUR TURN × 3 × 106 108 = 1. 5 × 109

The numbers in this calculation have been split into factors. The equal priority of multiplication & division allows us to divide using factors.

If the gold is split into 4 pieces, what is the mass of each piece? g

If the titanium is split into 1000 pieces, what is the mass of each piece? g

1. 3 × 104 km 1. 3 × 106 km How many Earth diameters can fit in the sun’s diameter? not to scale

6 × 1024 kg 2 × 1030 kg What is the mass of the sun compared to the Earth? times the mass not to scale

DEMO Dividing with Standard Form Calculate: 8 × 105 8÷ 2 4 ÷ 2 × 103 × 105 ÷ 103 × 102 = 4 × 102

DEMO Dividing with Standard Form Calculate: 3 × 106 3÷ 6 0. 5 ÷ 6 × 103 × 106 ÷ 103 × 103 = 5 × 102

DEMO YOUR TURN Dividing with Standard Form Calculate: 3 × 106 3÷ 6 0. 5 ÷ 6 × 103 × 106 ÷ 103 × 103 = 5 × 102 9 × 109 9÷ 3 3 ÷ 3 × 104 × 109 ÷ 104 × 105 = 3 × 105

DEMO YOUR TURN Dividing with Standard Form Calculate: 3 × 106 3÷ 6 0. 5 ÷ 6 × 103 × 106 ÷ 103 × 103 = 5 × 102 2. 4 × 107 2. 4 ÷ 6 0. 4 ÷ 6 × 104 × 107 ÷ 104 × 103 = 4 × 102

DEMO Dividing with Standard Form Calculate: a) 6 × 108 ÷ 4 × 106 = 1. 5 × 102 × 106 ÷ 103 b) 4. 5 × 107 ÷ 9 × 104 = 5 × 102 × c) 4 × 109 ÷ 5 × 104 = 8 × 104 d) 3. 4 × 10− 3 ÷ 2 × 104 = 1. 7 × 10− 7 e) 5 × 10− 3 ÷ 4 × 10− 6 = 1. 25 × 103 3 × 106 3÷ 6 0. 5 YOUR TURN ÷ 6 × 103 = 5 × 102

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk