Transum Software

Standard Form

Test your understanding of standard form (scientific notation) with this self-marking, multiple-choice quiz.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Description Help

You can earn a trophy if you get at least 7 questions correct.

1. Which of the following numbers is the largest?

  • A. 9.19 x 105
  • B. 6.43 x 105
  • C. 2.59 x 104
  • D. 9.89 x 101
  • E. 3.51 x 102
Correct Wrong

2. Which of the following numbers is the smallest?

  • A. 4.14 x 106
  • B. 3.28 x 106
  • C. 3.02 x 106
  • D. 2.9 x 106
  • E. 1.76 x 107
Correct Wrong

3. Which of the following numbers is the largest?

  • A. 2 x 10-2
  • B. 3.24 x 10-3
  • C. 5.19 x 10-5
  • D. 6.08 x 10-4
  • E. 2.59 x 10-5
Correct Wrong

4. Which of the following numbers is the smallest?

  • A. 4.76 x 10-4
  • B. 2.01 x 10-2
  • C. 3.75 x 10-4
  • D. 4.93 x 10-6
  • E. 2.14 x 10-6
Correct Wrong

5. Evaluate (5.9 x 105)2

  • A. 5.9 x 1025
  • B. 34.81 x 1025
  • C. 3.481 x 106
  • D. 3.481 x 1011
  • E. 5.9 x 1010
Correct Wrong

6. Evaluate (5.4 x 10-1)3

  • A. 5.4 x 10-1
  • B. 157.464 x 10-1
  • C. 1.57464 x 101
  • D. 1.57464 x 10-1
  • E. 5.4 x 10-3
Correct Wrong

7. If a = 5 x 101, b = 7.7 x 10-2 and c = 8.7 x 10-4, what is ab÷c to two decimal places?

  • A. 334,950.00
  • B. 74.64
  • C. 4,425.29
  • D. 21,750.00
  • E. 334,950.00
Correct Wrong

8. If a = 7.1 x 101, b = 5 x 10-1 and c = 5.2 x 10-2, what is a + b − c to two decimal places?

  • A. 71.45
  • B. 71.55
  • C. 70.45
  • D. 70.55
  • E. 72
Correct Wrong

9. The dimensions of a water tank in the shape of a cuboid are 4.7 x 103mm,
7.3 x 103mm and 7.2 x 103mm. What is the capacity of the tank in standard form to 2 decimal places?

  • A. 2.47 x 109 m3
  • B. 2.47 x 102 m3
  • C. 2.47 x 1027 m3
  • D. 24.70 x 1010 m3
  • E. 2.47 x 104 m3
Correct Wrong

10. The speed of light is approximately 3 x 108 metres per second. Express this in kilometres per hour in standard form to 3 significant figures.

  • A. 1.08 x 109
  • B. 3.00 x 105
  • C. 1.08 x 1012
  • D. 3.00 x 109
  • E. 108 x 107
Correct Wrong

This is Standard Form level 9. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8

Instructions

Try your best to answer the questions above. Choose one of the five possible answers. When you have finished click the "check" button. If you have any questions wrong, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. You can also claim a 'Transum Trophy' by completing this quiz.

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Description of Levels

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Level 1 - Converting from standard form. Positive indices.

Level 2 - Converting from standard form. Negative indices.

Level 3 - Converting from standard form. Mixed including zero as the index.

Level 4 - Converting to standard form. The inverse of level 1.

Level 5 - Converting to standard form. The inverse of level 2.

Level 6 - Converting to standard form. The inverse of level 3.

Level 7 - Mixed calculations.

Level 8 - Mixed calculations without a calculator.

Level 9 - Multiple choice exercise.

Finally there is a drag-and-drop standard form ordering activity.

Examples

To convert a number to standard form means to write it in the form a x 10b where a is a number greater than or equal to one and less than ten and b is an integer.

34800

= 3.48 x 10000

= 3.48 x 10 x 10 x 10 x 10

= 3.48 x 104

 

0.0348

= 3.48 ÷ 100

= 3.48 x 1100

= 3.48 x 10-2

 

Finally note that any number raised to the power zero is 1 so:

3.48

= 3.48 x 1

= 3.48 x 100

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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