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Standard Form

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7.3Standard Form

Standard Form Revision Questions

1. . Which of the following numbers is correctly written in standard form?

  1. 3.24 × 101/2
  2. 4.06 × 10-4
  3. 1.09 × 53
  4. 42.69 × 102

Correct Answer: B

2. . Which of the following numbers is converted into standard form with a single step?

  1. 0.28 × 8-2
  2. 3.0686
  3. 3 × 105 + 2 × 100.6
  4. 24,268

Correct Answer: D

3. . The number 7.06 × 10-3 is equivalent to .

  1. 0.00706
  2. 7,060
  3. 70,600
  4. 0.0706

Correct Answer: A

4. . The number 32,289 is equivalent to ..

  1. 32.289 × 103
  2. 3.2289 × 104
  3. 3.2289 × 103
  4. 0.32289 × 105

Correct Answer: B

5. . What is the standard form of the number 4 × 103 + 7 × 10-2 ?

  1. 4000.07
  2. 4.00007 × 103
  3. 4 × 103 + 0 × 102 + 0 × 101 + 0 × 100 + 0 × 10-1 + 7 × 10-2
  4. 4.7 × 103

Correct Answer: B

6. . What is 5.18 × 105 + 2.47 × 104?

  1. 7.65 × 109
  2. 7.65 × 105
  3. 5.427 × 105
  4. 1.27946 × 1020

Correct Answer: C

7. . What is 3.8 × 103 - 1.7 × 104?

  1. 2.1 × 101
  2. 2.1 × 103
  3. 3.63 × 104
  4. 3.63 × 103

Correct Answer: D

8. . What is 4.63 × 102 · 3.5 × 103?

  1. 16.205 × 102
  2. 16.205
  3. 16.205 × 105
  4. 1.6205 × 106

Correct Answer: D

9. . What is 8.4 × 107 ÷ 1.05 × 106?

  1. 80
  2. 8
  3. 8.82 × 1013
  4. 8.295 × 107

Correct Answer: A

10. . What is (8.64 × 103)2?

  1. 8.64 × 106
  2. 74.6497 × 107
  3. 7.4697 × 107
  4. 7.4697 × 108

Correct Answer: C

11. . What is (1.6 × 104)-2?

  1. 1.6 × 10-8
  2. 3.90625 × 10-9
  3. 3.90625 × 10-8
  4. 2.56 × 10-8

Correct Answer: B

12. . The size of a certain bacterium is 2.0 micrometre (1 micrometre = 1/1,000,000 m). How many bacteria of this kind must be placed in a row in a 5cm long segment?

  1. 25,000
  2. 40,000
  3. 250,000
  4. 400,000

Correct Answer: A

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  3. Powers and Roots Video tutorial: Standard Form. Watch or listen to the Standard Form video tutorial, a useful way to help you revise when travelling to and from school/college
  4. Powers and Roots Revision Notes: Standard Form. Print the notes so you can revise the key points covered in the math tutorial for Standard Form
  5. Check your calculations for Powers and Roots questions with our excellent Powers and Roots calculators which contain full equations and calculations clearly displayed line by line. See the Powers and Roots Calculators by iCalculator™ below.
  6. Continuing learning powers and roots - read our next math tutorial: Surds

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