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QuestionSkriv tallene som decimaltal gange en ti'er potens: a) 5.600.000=5.600.000= b) 27.000.000=27.000.000= c) 0,000005=0,000005= d) 0,0045=0,0045= e) 3.000.000.000=3.000.000.000= f) 0,023=0,023=

Studdy Solution

STEP 1

Assumptions1. We need to express each number as a decimal number multiplied by a power of ten. . The decimal number should be between1 and10 (inclusive of1 and exclusive of10).

STEP 2

Let's start with the first number 5.600.0005.600.000. To express this number as a decimal number multiplied by a power of ten, we need to move the decimal point to the right until we have a number between1 and10. Count the number of places you moved the decimal point. This will be the exponent of10.
5.600.000=5.6×10?5.600.000 =5.6 \times10^{?}

STEP 3

Calculate the exponent by counting the number of places we moved the decimal point.
5.600.000=5.6×1065.600.000 =5.6 \times10^{6}

STEP 4

Now, let's move on to the next number 0,0040,004. To express this number as a decimal number multiplied by a power of ten, we need to move the decimal point to the right until we have a number between1 and10. Count the number of places you moved the decimal point. This will be the exponent of10, but it will be negative because we moved the decimal point to the right.
0,004=4.×10−?0,004 =4. \times10^{-?}

STEP 5

Calculate the exponent by counting the number of places we moved the decimal point.
0,0045=4.5×10−30,0045 =4.5 \times10^{-3}

STEP 6

Continue this process for the remaining numbers.
27.000.000=2.×1027.000.000 =2. \times10^{}3.000.000.000=3×1093.000.000.000 =3 \times10^{9}0,000005=5×10−60,000005 =5 \times10^{-6}0,023=2.3×10−20,023 =2.3 \times10^{-2}

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