
How do you convert \[3.5\cdot {{10}^{4}}\] to standard form?
Answer
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.
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.
Recently Updated Pages
Tracing Letter N Worksheet for Kindergarten – Free PDF

Full Form: Updated List (2025) of Important Abbreviations You Should Know

CPR Full Form: Meaning, Steps & Importance for Students

Area and Perimeter Worksheet for Class 4: Rectangular Shapes

CAT Full Form: Meaning, Exam Details & Uses in MBA, Law, Computer

CAIIB Full Form, Eligibility, Syllabus & Benefits Explained

Trending doubts
Why is there a time difference of about 5 hours between class 10 social science CBSE

Five things I will do to build a great India class 10 english CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

When the President submits his resignation to the VicePresident class 10 social science CBSE

10 examples of evaporation in daily life with explanations
