Answered

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The mass of a proton is about 1.7 \times 10^(-24). Write this number in standard notation.

Sagot :

Now we have a negative exponent, which is the opposite of a positive exponent.

If a positive exponent means you're multiplying by 10s and it makes a number bigger by moving the decimal to the right, then

the opposite of this is that a negative exponent means you're dividing by 10s and making the number smaller by moving the decimal point to the left.

 

Examples:

[tex]930 \div 10 = 93[/tex]

[tex]{\bf930 \div 10} \div 10 = {\bf 93} \div 10 = 9.3[/tex]

 

The trick is to recognize that

[tex]930 \div 10[/tex] is the same thing as [tex]930 \times 10^{-1}[/tex]

[tex]{}\div 10[/tex] and [tex]{}\times 10^{-1}[/tex] mean the same thing.

So, [tex]930 {\bf {}\div 10 \div 10} = 930 {\bf {}\times 10^{-1} \times 10^{-1}} = 930 {\bf {}\times 10^{-2}} = 9.3[/tex]

 

For your exercise, [tex]{}\times10^{-24}[/tex] means you'll move the decimal point 24 places to the left, to make the number smaller.

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