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5.73×10^6 scientific notation or standard form

User Naftali
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The number 5.73 10^6 is shown in scientific notation.

Its standard form is: 5,730,000 (five million 7 hundred thirty thousand)

The number 600 can be written in scientific notation by using the digit "6" followed by a product by 100: 6 * 100 and now writing the 100 in powers of ten:

100 = 10 * 10 = 10^2

then the scientific notation formof 600 is:

6 10^2 (6 times 10 to the power 2)

The number 0.24 is the same as the number 24 divided by 100 so notice that there is DIVISION by powers of ten now, and such division becomes a "negative" power of the base 10.

The way to quickly write 0.24 in scientific notation is:

1) count how many spaces you have to move the decimal point to the right in order to get to a number between 1 and something smaller than 10. In our case to get to 2.4.SO the decimal point has to move ONE space to the right. Now,that number of spaces you move to the right is going to becoma the exponent of the base 10:

2.4 10 ^(-1) (remember that since this is a division, the power is NEGATIVE.

The number 4.07369 is the same written in scientific notation and in standard form, because the number shown is in between 1 and something smaller than 10.

Your teacher may want tho to have yu write the exponent of 10 (you write it in this case as a zero):

4.07369 = 4.07369 10^0

Recall that 10^0 is 1, so there is no actual change to the number by multiplying by it.

User Rishad Baniya
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