10 times as many as 6 hundreds is 60 hundreds or 6 thousands.
This question about simple multiplication is related to place value.
Operations in unit form can be rewritten to [tex]\boxed{ \ 10 \times (N \times 100) = (60 \times 100) \ or \ (M \times 1,000) \ }[/tex]
Reordered into,
We have to solve this calculation to obtain the value of N and M.
Let's arrange the above equation into two parts, i.e.,
[tex]\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }[/tex] ... Equation-1
[tex]\boxed{ \ 10 \times (N \times 100) = (M \times 1,000) \ }[/tex] ... Equation-2
First, we need to complete Equation-1. Let's isolate the variable M alone at the end of the process on one side of the equation until the variable will be equal to the value on the opposite side.
[tex]\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }[/tex]
[tex]\boxed{ \ 1,000 \times N = 6,000 \ }[/tex]
Both sides are divided by 1,000, in other words, multiplied by [tex]\frac{1}{1,000}[/tex].
[tex]\boxed{ \ \frac{1}{1,000} \times 1,000 \times N = \frac{1}{1,000} \times 6,000 \ }[/tex]
We get, [tex]\boxed{\boxed{ \ N = 6 \ }}[/tex]
Second, we complete Equation-2 to get the value of M.
[tex]\boxed{ \ 10 \times (N \times 100) = (M \times 1,000) \ }[/tex]
Substitute N = 6 into Equation-2.
[tex]\boxed{ \ 10 \times 6 \times 100 = M \times 1,000 \ }[/tex]
[tex]\boxed{ \ 6,000 = M \times 1,000 \ }[/tex]
Turn this equation over so that the position of variable M is on the left side.
[tex]\boxed{ \ M \times 1,000 = 6,000 \ }[/tex]
Both sides are divided by 1,000, in other words, multiplied by [tex]\frac{1}{1,000}.[/tex]
[tex]\boxed{ \ \frac{1}{1,000} \times M \times 1,000 = \frac{1}{1,000} \times 6,000 \ }[/tex]
We get, [tex]\boxed{\boxed{ \ M = 6 \ }}[/tex]
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Back to the question above, the results of multiplication of our key questions are 60 hundreds or _ (M) _ thousands.
Actually we can fill in the blank space according to the place value.
60 hundreds = __ thousands
[tex]\boxed{ \ 6 \times 10 \ hundreds = \ M \ thousands} \ }[/tex]
[tex]\boxed{ \ 6 \times thousands = \ M \ thousands} \ }[/tex]
[tex]\boxed{\boxed{ \ M = 6 \ }}[/tex]
Keywords:
10 times as many as _ hundreds is 60 hundreds or _ thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, turn
