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anonymous

  • one year ago

Find the product of 21 and (6.3 • 10^-4). 0.1323 • 10^-1 1.323 • 10^-3 1.323 • 10^-2 1.323 • 10^2

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  1. MrNood
    • one year ago
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    first multiply 21 * 6.3 and write it in the exponent form post you answer here

  2. anonymous
    • one year ago
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    132.3

  3. MrNood
    • one year ago
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    can you write that in 'exponent form ? like 1.56 * 10^2

  4. anonymous
    • one year ago
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    Is it 132.3 * 10^0?

  5. MrNood
    • one year ago
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    that is one way to write it can you write it as 1.323 * 10^?

  6. anonymous
    • one year ago
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    is it possible, you're asking?

  7. MrNood
    • one year ago
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    no - it is possible can you do it - what is the value of ? so that 132.3 is the same as 1.323 *10^?

  8. anonymous
    • one year ago
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    I know that you have to move the decimal over two spaces to the left by dividing it by 100. That IS correct, right? XD

  9. MrNood
    • one year ago
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    yes 132.3= 1.323*100 = 1.323 *10^? what is the value of ? in the above?

  10. anonymous
    • one year ago
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    I have no clue. 1.323*100 is 132.3 but that's what we started with...

  11. MrNood
    • one year ago
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    the point of the exercise is to be able to express numbers in exponent form (or sometimes called scientific notation) you can see maybe that (for example) 1101 = 110.1 *10^1 1101 = 11.01 * 10^2 1101 = 1.101 * 10^3 1101 = .1101 * 10 ^4 SO using the same idea can you look at 132.3= 1.323*100 = 1.323 *10^?

  12. anonymous
    • one year ago
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    is it... 1.323 • 10^-3

  13. anonymous
    • one year ago
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    is it... 1.323 • 10^-3

  14. MrNood
    • one year ago
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    132.3= 1.323*100 we are multiplying by 100 how would you write 100 = 10^?

  15. anonymous
    • one year ago
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    eh... I dont know

  16. MrNood
    • one year ago
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    Well I'm afaid you are probably not ready to tackle questions like this then. The key point is that we can move the decimal point where we want - as LONG AS we multiply by 10^? to compensate. BUT you must know that 10^0 =1 10^1 = 10 10^2 = 100 10^3 = 1000 etc.

  17. anonymous
    • one year ago
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    Oh! Oh that makes sense

  18. MrNood
    • one year ago
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    how would you write 100 = 10^?

  19. anonymous
    • one year ago
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    100 would be 10^2

  20. MrNood
    • one year ago
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    OK so lets go back toi the original question 21 *6.3 • 10^-4 you worked out was the same as 132.3 *10^4 which is the same as 1.323 *10^2 * 10^-4 so what happens when you multiply 2 numbers with exponents? 10^2 * 10^-4 = 10 ^?

  21. anonymous
    • one year ago
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    When you multiply 2 numbers with exponents dont you add the exponents and if the bases are the same then you keep them as that number? So this would be 10^-2?

  22. MrNood
    • one year ago
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    excellent - so you have your answer now

  23. anonymous
    • one year ago
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    Ah! Thank you so much

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