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5. Convert Decimal to Standard form example ( Enter your problem )

1. Example-1





1. Find Convert Decimal to Standard form of `37000`

Solution:
`37000`

Convert Decimal notation to Scientific notation

Step-1: Move decimal point, so that first number is greater than or equal to 1 but less than 10
37000 (First number greater than or equal to 1 but less than 10 is 3)
3.7000 (Move the decimal point to the left)
3.7 (remove trailing zeros)

Step-2: Count number of decimal places moved
n = 4

Step-3: Write number as product with power of 10
Since we moved the decimal point to the left, so n will be positive
`3.7xx10^4`

`:.37000=3.7xx10^4`



Other notations:

1. Scientific notation:
`37000 = 3.7xx10^4`

2. Scientific e notation:
`37000 = 3.7` e `4`

3. Engineering notation:
`37000 = 37 xx 10^3`

4. Normalized notation:
`37000 = 3.7 xx 10^4`
2. Find Convert Decimal to Standard form of `123456`

Solution:
`123456`

Convert Decimal notation to Scientific notation

Step-1: Move decimal point, so that first number is greater than or equal to 1 but less than 10
123456 (First number greater than or equal to 1 but less than 10 is 1)
1.23456 (Move the decimal point to the left)

Step-2: Count number of decimal places moved
n = 5

Step-3: Write number as product with power of 10
Since we moved the decimal point to the left, so n will be positive
`1.23456xx10^5`

`:.123456=1.23456xx10^5`



Other notations:

1. Scientific notation:
`123456 = 1.23456xx10^5`

2. Scientific e notation:
`123456 = 1.23456` e `5`

3. Engineering notation:
`123456 = 123.456 xx 10^3`

4. Normalized notation:
`123456 = 1.23456 xx 10^5`
3. Find Convert Decimal to Standard form of `123.50`

Solution:
`123.50`

Convert Decimal notation to Scientific notation

Step-1: Move decimal point, so that first number is greater than or equal to 1 but less than 10
123.50 (First number greater than or equal to 1 but less than 10 is 1)
1.2350 (Move the decimal point to the left)

Step-2: Count number of decimal places moved
n = 2

Step-3: Write number as product with power of 10
Since we moved the decimal point to the left, so n will be positive
`1.2350xx10^2`

`:.123.50=1.2350xx10^2`



Other notations:

1. Scientific notation:
`123.50 = 1.235xx10^2`

2. Scientific e notation:
`123.50 = 1.235` e `2`

3. Engineering notation:
`123.50 = 123.5 xx 10^0`

4. Normalized notation:
`123.50 = 1.235 xx 10^2`
4. Find Convert Decimal to Standard form of `0.0052`

Solution:
`0.0052`

Convert Decimal notation to Scientific notation

Step-1: Move decimal point, so that first number is greater than or equal to 1 but less than 10
0.0052
0.0052 (First number greater than or equal to 1 but less than 10 is 5)
0005.2 (Move the decimal point to the right after 5)
5.2 (remove leading zeros)

Step-2: Count number of decimal places moved
n = 3

Step-3: Write number as product with power of 10
Since we moved the decimal point to the right, so n will be negative
`5.2xx10^-3`

`:.0.0052=5.2xx10^-3`



Other notations:

1. Scientific notation:
`0.0052 = 5.2xx10^-3`

2. Scientific e notation:
`0.0052 = 5.2` e `-3`

3. Engineering notation:
`0.0052 = 5.2 xx 10^-3`

4. Normalized notation:
`0.0052 = 5.2 xx 10^-3`




This material is intended as a summary. Use your textbook for detail explanation.
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