
How do you express ${3.4.10^4}$ as an ordinary number?
Answer
533.7k+ views
Hint: An ordinary number is the expanded version of the standard form number. Will take the given expression and convert it accordingly in the ordinary form.
Complete step by step solution:
Take the given expression: $3.4 \times {10^4}$
Step 1 Observe the given number and power of $10$
Here given that the power to \[10\] is $(4)$
Step 2 Write as the multiplication of $10$ four times instead of division.
\[3.4 \times {10^4} = 3.4 \times 10 \times 10 \times 10 \times 10\]
Step 3 Do the multiplication by $10$ one at a time
\[
\Rightarrow 3.4 \times {10^4} = 34 \times 10 \times 10 \times 10 \\
\Rightarrow 3.4 \times {10^4} = 340 \times 10 \times 10 \\
\Rightarrow 3.4 \times {10^4} = 3400 \times 10 \\
\Rightarrow 3.4 \times {10^4} = 34000 \\
\]
Thus the correct answer is 34000.
Additional Information: Also, remember the difference between the ordinary number and ordinal number. Ordinal number is the number which tells the position of the object or something in the list. For Example: first, second, third, etc. It simply tells us the rank or the position of something in the group.
Whereas, the ordinary numbers are the numbers which include whole numbers, rational, irrational numbers and real and imaginary numbers.
Note:
Step 1: Think of the given power as being the positive.
Step 2 : Write as many zeros, including one before the decimal and then write down the given number.
In case of having positive power to ten, simply write zeros after the number. If number two is given to the power ten, then write two zeros after the number.
Complete step by step solution:
Take the given expression: $3.4 \times {10^4}$
Step 1 Observe the given number and power of $10$
Here given that the power to \[10\] is $(4)$
Step 2 Write as the multiplication of $10$ four times instead of division.
\[3.4 \times {10^4} = 3.4 \times 10 \times 10 \times 10 \times 10\]
Step 3 Do the multiplication by $10$ one at a time
\[
\Rightarrow 3.4 \times {10^4} = 34 \times 10 \times 10 \times 10 \\
\Rightarrow 3.4 \times {10^4} = 340 \times 10 \times 10 \\
\Rightarrow 3.4 \times {10^4} = 3400 \times 10 \\
\Rightarrow 3.4 \times {10^4} = 34000 \\
\]
Thus the correct answer is 34000.
Additional Information: Also, remember the difference between the ordinary number and ordinal number. Ordinal number is the number which tells the position of the object or something in the list. For Example: first, second, third, etc. It simply tells us the rank or the position of something in the group.
Whereas, the ordinary numbers are the numbers which include whole numbers, rational, irrational numbers and real and imaginary numbers.
Note:
Step 1: Think of the given power as being the positive.
Step 2 : Write as many zeros, including one before the decimal and then write down the given number.
In case of having positive power to ten, simply write zeros after the number. If number two is given to the power ten, then write two zeros after the number.
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