STANDARD FORM AND DECIMAL PLACES 20041116
This exercise tests your ability to switch between the forms of precision on your calculator by using the Mode or FSE keys (depending on your calculator type). By now you should have confidence that you can do this, you have appropriate instructions to yourself taken from your calculator’s instruction manual and you have done the previous sheet. A particular fault is failing to recognise x10 (written) and EXP (calculator) as equivalent. Do NOT use x10 or x10x on your calculator!
Give each of these calculations to
a) 4 significant figures in Standard Form AND (b) to 6 decimal places
Example: 8.17x 10³ = 2.226x10-2 = 0.022262
3.67x105
1. 17.12 x 10³
22.77 x10 6
2. 36.49 x 1023
27.6 x10 25
3. 86 500
769 358
4. 9.715 x 0.164³
5. 7.65 x 10 -1 x 5.602 x10 -5
6. 1.045 x 10 11 x 4.1x10 -13
7. 12.3 x 10 13 x 8.7x 10 -4
9.7 x 10 12
8. 3.9 x 10 26 x 2.73 x 10 -39
9. 2.85 x 10 19
9.69 x 10 22
10. 8.1x 10 9 x 13.2 x 10 -7
7.24 x 10 3
11. 0.021⁴ x 16²
12. 8.1 17 x 3.2 –14
Write on the sheet only if you can be neat enough to make it fit…….
1 7.52x10 -4 0.000 75 7 1.10x10 -2 0.011 03
2 1.32x10 -2 0.013 22 8 1.06x10 -12 0.000 00
3 1.12x10 -1 0.112 43 9 2.94x10 -4 0.000 29
4 2.61x10 -1 0.261 29 10 1.48.x10⁰ 1.476 80
5 4.29.x10 -5 0.000 04 11 4.98x10 -5 0.000 05
6 4.28x10 -2 0.042 85 12 2.36.x10 ⁸ 235 583 909.425 58