How do you simplify #(5x10^2)(3x10^-3)#?

Answer 1

I assume the x's are meant as multiplication signs?

Step 1: Multiply the numbers and the 10-powers separately: #(5*10^2)(3*10^-3)=(5*3)(10^2*10^-3)#

Step 2: Multiply the numbers: #(5*3)(10^2*10^-3)=15*(10^2*10^-3)#

Step 3: Add the powers of the 10's #15*(10^2*10^-3)=15*(10^(2+ -3))=15*10^-1#

Step 4: Put the negative power under the division line and simplify further: #15*10^-1=15/10^1=15/10=1.5# In correct scientific notation this would be #1.5*10^0#

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Answer 2

Jace Anderson

To simplify the expression ( (5x10^2)(3x10^{-3}) ), you multiply the coefficients (5 and 3) together to get 15, and then add the exponents of the powers of 10 (2 and -3). This results in ( 15x10^{-1} ). Therefore, the simplified expression is ( 15x0.1 ) or simply ( 1.5x ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.