
How many thousands make a million?
Answer
612.3k+ views
Hint: First we will look at how many 10 do we need to multiply to get thousand or what power of 10 is thousand and then we will see how many 10 do we need to multiply to get a million and then we will divide million by thousand and that number will be the number of thousand we need to make a million.
Complete step-by-step solution -
Now let’s represent thousand in the power of 10,
One thousand = 1000 = ${{10}^{3}}$ $..................(1)$
Now let’s represent one million in the power of 10,
One million = 1000000 = ${{10}^{6}}$ $................(2)$
Now that we have represented both of them in power of 10 now to find the number of thousand we need to divide (2) by (1),
Here we are going to use one formula which is used when we deal with exponents,
The formula is:
$\dfrac{{{a}^{b}}}{{{a}^{c}}}={{a}^{b-c}}$
Dividing (2) by (1) we get,
Number of thousand = $\dfrac{{{10}^{6}}}{{{10}^{3}}}$
$\begin{align}
& ={{10}^{6-3}} \\
& ={{10}^{3}} \\
\end{align}$
Hence, we need ${{10}^{3}}$ thousand to make one million.
Note: There might be some problem in understanding this question if the students don't know how to deal with exponents so an alternate way is to solve without converting them into exponents and that is dividing 1000000 by 1000 to get the final answer.
Complete step-by-step solution -
Now let’s represent thousand in the power of 10,
One thousand = 1000 = ${{10}^{3}}$ $..................(1)$
Now let’s represent one million in the power of 10,
One million = 1000000 = ${{10}^{6}}$ $................(2)$
Now that we have represented both of them in power of 10 now to find the number of thousand we need to divide (2) by (1),
Here we are going to use one formula which is used when we deal with exponents,
The formula is:
$\dfrac{{{a}^{b}}}{{{a}^{c}}}={{a}^{b-c}}$
Dividing (2) by (1) we get,
Number of thousand = $\dfrac{{{10}^{6}}}{{{10}^{3}}}$
$\begin{align}
& ={{10}^{6-3}} \\
& ={{10}^{3}} \\
\end{align}$
Hence, we need ${{10}^{3}}$ thousand to make one million.
Note: There might be some problem in understanding this question if the students don't know how to deal with exponents so an alternate way is to solve without converting them into exponents and that is dividing 1000000 by 1000 to get the final answer.
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