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warm - up sheet week 4: september 1st - 5th monday no school tuesday 1.…

Question

warm - up sheet
week 4: september 1st - 5th
monday
no school
tuesday

  1. what is the scientific form for.00003457
  2. what is the scientific form for 9,345,000,000
  3. what is the standard form for 3.54 x 10^(-6)

wednesday

  1. each pair of polygons is similar. what do you know about the corresponding angles and sides? write 6 congruence statements:
  2. simplify: -15/5=

is this number an integer, rational, or both?

  1. solve each proportion:

4/11 = 19/x
x/21 = 11/30

Explanation:

Response
Tuesday
Question 1

Step1: Move decimal to get a number between 1 and 10

For \(0.00003457\), move the decimal 5 places to the right to get \(3.457\). Since we moved the decimal to the right, the exponent of 10 is negative.
\(3.457\times10^{- 5}\)

Step1: Move decimal to get a number between 1 and 10

For \(9345000000\), move the decimal 9 places to the left to get \(9.345\). Since we moved the decimal to the left, the exponent of 10 is positive.
\(9.345\times10^{9}\)

Step1: Expand the scientific - notation

For \(3.54\times10^{-6}\), since the exponent of 10 is - 6, we move the decimal 6 places to the left.
\(0.00000354\)

Answer:

\(3.457\times10^{-5}\)

Question 2