Solve science notation (Dave hooks)

Default by a technique of change is to learn the a large number of simple method and easy to recognize. Here 105 = 100000, so 6 106 can be written as 7 104 = 6000000. 70000. This consideration can be write in even larger numbers simply from standard. Small numbers can write even while out of the standard. The method script is a digit in the standard of to write down that first a digit between 1 and 10, as well as at the time write 10 (to the power of a digit).

Solved example problems on the basis of assistance to standard out:

Solved example problems on the basis of aid for standard from the bottom, which is given

Example 1:

Change 123 10 ^ 6 in standard from.

Solution:

Step 1:

123 10 ^ 6 = 123000000. [Multiplication moves by 1000000, placing 6 on the right side of the decimal point]

Step 2:

Therefore, we obtain the value for 123 1000000 = 123000000

The standard of 123 10 ^ 6 is 123000000.

Step 3:

123000000 Is the final answer for the problem.

Example 2:

Change 123,123 10 ^ 8 in standard from.

Solution:

Step 1:

123.123 10 ^ 8 12312300000. = [Multiplication moves by 100000000, placing the decimal point 8 on the right side]

Step 2:

Therefore we use for 123.123 100000000 = 12312300000

The standard of 123,123 10 ^ 8 is 12312300000.

Step 3:

The final answer to the problem is 12312300000.

Example 3:

Change 0,00752 10 ^ 7 standard out.

Solution:

Step 1:

0,00752 10 ^ 7 75200. = [Multiplication moves by 10000000, that 7 right placed the decimal point]

Step 2:

Therefore, we obtain the value for 0.00752 = 10000000 75200

The standard of the 0,00752 10 ^ 7 is 75200.

Step 3:

75200 Is the final answer for the problem.

Example 4:

Change 120,12 10 ^ 4 standard out.

Solution:

Step 1:

120.12 10 ^ 4 = 1201200. [Multiply over 10000 move decimal point 4 on the right side make]

Step 2:

Therefore we use for 120.12 10000 = 1201200

The standard of the 120,12 10 ^ 4 is 1201200.

Step 3:

The final answer to the problem is 1201200.

Example 5:

Make a note of the number 4 30 000 in standard form.

Solution:

Finding: the values of a and b.

a = 4.3 (must be between 1 and 10).

b = 5 (4.3 multiply five times from 10 to 4 to provide 30 000).

Therefore, the scientific notation of 4 is 30 000 4.3 10 ^ 5

Answer: 4.3 10 ^ 5

Example 6:

43 Million in standard form to write.

Solution:

43 Million can be written as 43 000 000.

Finding: the value of a and b.

a = 4.3 (must be between 1 and 10).

b = 7, because you will have 4.3 multiply seven times to give 43 000 000.

Therefore, the scientific notation of 43 000 000 is 4.3 10 ^ 7

Answer: 4.3 10 ^ 7

Let the practice problem in standard form.

Exercises, on the basis of assistance to standard out:

Exercises, on the basis of standard guide from under the is specified,.

Problem 1:

Amendment 564 10 ^ 5 to standard out.

Answer: The final answer to the problem is 56400000.

Issue 2:

Change 0,702 10 ^ 6 in standard from.

Answer: The final answer to the problem is 702000.

Issue 3:

Change 0,001201 10 ^ 7 standard from.

Answer: The final answer to the problem is 12010.

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