A. Write the number 105.3 x 10^-7 in standard scientific...

a. Write the number 105.3 x 10^-7 in standard scientific notation. b. Write the number 33.03 x 10^-7 in standard scientific notation. c. Write the number 59983 x 10^6 in standard scientific notation. d. Write the number 599.13 x 10^6 in standard scientific notation. e. Write the number 6991.3 x 10^6 in standard scientific notation.

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00:01 So the question asks you to write down all the numbers in perfect connotation.

00:05 So first of all, the rule here is that you will have this a point b, let's say.

00:09 This is called coefficient.

00:12 The coefficient must be a number between 1 to 10.

00:18 And 10 is the base.

00:20 C here is exponent.

00:26 The exponent can either be positive number or negative number.

00:30 Number.

00:30 A positive means 10, 100, 1000.

00:35 Negative means 10th, 100th, and 1000th.

00:39 Okay, so now we know the rule.

00:42 Let's do it.

00:43 Okay, 105 .3 times 10 to the negative 7.

00:54 So first of all, the coefficient obviously is greater than 10, so you have to hop the decimal.

00:59 Now you have to hop it towards left, so once and twice now you have a one point zero five three and you hop towards left in this case you're gonna have to add two on the exponent so if you hop left add add two add number but the number they add is going to be the time of your hop so for example if i hop twice from five to zero to one and then you're going to have to add 2.

01:30 So this is 1 .53 times 10 to negative 5.

01:35 So this is the first one.

01:39 Second, 33 .03 times 10 to negative 7.

01:46 So again, you can see the coefficient is greater than 10, so you have to hop.

01:50 This time, you only have to hop it once, so from 3 to here...

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