A. Write the following numbers in scientific notation.
B. Write the following scientific notation in standard/decimal form.
Answer:
A. Write the following numbers in scientific notation.
1. 6.01 × 10⁴
2. 3.948 × 10³
3. 2.8 × 10⁴
4. 4.75 × 10^5
5. 4.02 × 10^6
6. 7.8 × 10^- 5
^ which represents exponents type the value of the power number immediately after the power symbol.
Example:
Move the decimal place to the left to create a new number from 1 up to 10.
Where’s the decimal point in 312000000000? Because it’s a whole number the decimal point is understood to be at the end of the number 312000000000.
Move the decimal place to the left to create a new number from 1 up to 10.
Determine the exponent which is the number of times you moved the decimal.
In this example you moved the decimal 11 times also because you moved the decimal to the left the exponent is positive. Therefore a = 11 and so you get
10^11
Put the number in the correct form for scientific notation.
( N × 10 )
312000000000 = 3. 12 × 10^11
To see an exponent that’s negative write
.00000031 in scientific notation.
Move the decimal place to the right to create a new number from 1 up to 10.
So N = 3.1
Determine the exponent, which is the number of times you moved the decimal.
In this example you moved the decimal 7 times also because you moved the decimal to the right, the exponent is negative. Therefore a = –7 and so you get
10 ^ -7
Put the number in the correct form for scientific notation
N ( × 10 )
.00000031 = 3.1 × 10 ^ – 7
Hope it helps.
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