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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
1.4 Scientific Notation for Natural Numbers

  1. Scientific notation is used to express very large or very small numbers.
  2. A number in scientific notation is written as the product of a number (integer or decimal) and a power of 10.
    Co-efficient x BaseExponent

    • The coefficient must be greater than or equal to 1 and less than 10.
      That is 1 <= 1 < 10
    • The base must be 10.
    • The exponent must show the number of decimal places that the decimal needs to be moved to change the number to standard notation.
      A negative exponent means that the decimal is moved to the left when changing to standard notation.
    • Example:
      3.14 x 1015 is correct scientific notation
      31.4 x 1014 is not correct scientific notation

To change Natural Number to Scientific Notation:

  1. Place decimal point such that there is one non-zero digit to the left of the decimal point.
  2. Count number of decimal places the decimal has "moved" from the original number. This will be the exponent of the 10.
  3. The original number here is greater than 1, the exponent is positive (If the original number was less than 1, the exponent is negative)

Examples:
The number 4,000,000,000 can be written in scientific notation as 4x109.
The number 1 can be written in many ways 0.1x101, 1.0x100 etc. But the scientific notation is expressed as 1x100. Since the number is always 1 or more and less than 10.

Standard NumberScientific Notation
11.0 x 100
55 x 100
88.0 x 100
101.0 x 101
151.5 x 101
252.5 x 101
353.5 x 101
1001.0 x 102
2002.0 x 102
Standard NumberScientific Notation
2102.1 x 102
10001.0 x 103
10201.02 x 103
123,000,0001.23 x 108
456,0004.56 x 105
1,000,0001.0 x 106
1,000,000,0001.0 x 109
1,000,000,000,0001.0 x 1012
123,000,000,0001.23 x 1011

Directions: Choose the scientific notation for the numbers given below. Also write atleast 5 examples of your own.
Q 1: 1,000,000,000,000
1.0 x 1012
1.0 x 1011
1.0 x 1010

Q 2: 456,000
4.56 x 104
4.56 x 106
4.56 x 105

Q 3: 100
1.0 x 103
1.0 x 102
1.0 x 101

Q 4: 234,000,000
2.34 x 107
2.34 x 106
2.34 x 108

Q 5: 10
100 x 101
10 x 101
1.0 x 101

Q 6: 11
1.1 x 101
110 x 101
11 x 101

Q 7: 7
.7 x 100
7.0 x 100
70 x 100

Q 8: 29
29 x 101
2.9 x 101
.29 x 101

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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