SOLUTION: Express the following in standard form 1. 300 2. 0.234 3. 5746 4. 0.0001361 5. 256000

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Question 1210450: Express the following in standard form
1. 300
2. 0.234
3. 5746
4. 0.0001361
5. 256000
Found 2 solutions by Edwin McCravy, math_tutor2020:
Answer by Edwin McCravy(20077) About Me  (Show Source):
You can put this solution on YOUR website!

Express the following in standard form
1. 300 = 3.0 x 102  
2. 0.234 = 2.34 x 10-1 
3. 5746 = 5.746 x 103  
4. 0.0001361 = 1.361 x 10-4 
5. 256000 = 2.56 x 105

Edwin

Answer by math_tutor2020(3828) About Me  (Show Source):
You can put this solution on YOUR website!

I'll do the first two problems to get you started.

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Problem 1

Place the decimal point just after the 3 to get 3.00 or 3.0 basically.

Now we must move the decimal point 2 spots to the right to go from 3.0 to the original value 300.0
This "move 2 spots to the right" indicates the exponent over the 10 is 2.

Therefore we the answer is 3%2A10%5E2
You can replace the 3 with 3.0, but it's optional.

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Problem 2

Place the decimal just after the leftmost nonzero digit.

To go from 2.34 back to 0.234, we move the decimal point 1 spot to the left.
This time the exponent is negative since we're moving left.

That's how we arrive at the answer 2.34%2A10%5E%28-1%29

You can use a calculator to verify each answer.