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How do you write 9.4×1039.4 \times 10^3 in standard form?\newline_____

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Q. How do you write 9.4×1039.4 \times 10^3 in standard form?\newline_____
  1. Understand standard form: Understand the concept of standard form. Standard form is a way of writing numbers that are too large or too small to be conveniently written in decimal form. In standard form, a number is written as a×10na \times 10^n, where 1a<101 \leq a < 10 and nn is an integer. In this case, we have 9.49.4 (which is between 11 and 1010) and 10310^3, so it is already in a form similar to standard form.
  2. Multiply by 10310^3: Multiply 9.49.4 by 10310^3. To convert 9.4×1039.4 \times 10^3 to standard form, we multiply 9.49.4 by 10310^3. This means we need to move the decimal point 33 places to the right because multiplying by 10310^3 is the same as multiplying by 10001000.
  3. Perform multiplication: Perform the multiplication.\newlineMoving the decimal point 33 places to the right in 9.49.4 gives us 94009400. So, 9.4×1039.4 \times 10^3 in standard form is 94009400.

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