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How do you convert \[3.5\cdot {{10}^{4}}\] to standard form?

Answer
VerifiedVerified
499.5k+ views
Hint: This question is from the topic of pre-algebra. So, we should have better knowledge on that topic. We should know about the scientific form and the standard form for solving this type of question. Remember that if we multiply a decimal number to 10, then the decimal in the number will shift by 1 digit to the right side of that number.

Complete step by step answer:
Let us solve this question.
In this question, we have asked to convert the term \[3.5\cdot {{10}^{4}}\] into standard form.
As we can see that the term \[3.5\cdot {{10}^{4}}\] is in scientific form or notation, from which we have to convert in standard form.
\[3.5\cdot {{10}^{4}}\] also can be written as \[3.5\times {{10}^{4}}\].
To write this number in standard form, we will have to multiply 3.5 with \[{{10}^{4}}\].
We can write
\[3.5\times {{10}^{4}}=3.5\times 10\times {{10}^{3}}=35\times {{10}^{3}}\]
And \[35\times {{10}^{3}}\] can be written as 35000.
So, the standard form of \[3.5\cdot {{10}^{4}}\] or \[3.5\times {{10}^{4}}\] can be written as 35000.

Note:
For solving this type of question, we should know about scientific form or notation and standard form of notation.
We used to write in the form in which the first digit of a number is written to the left side of decimal and rest are written to the right side of decimal and that is multiplied with 10 having integer in the power of 10. This is for the scientific notation.
And, for the standard form or notation, we have to multiply the number which is in decimal with 10 to the power of n. That means if we multiply the decimal with the number 10 having the power of n, then the decimal will shift n(if n is positive) digits to the right side and the decimal will shift n(if n is negative) digits to the left side.