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find the value of the division expressions. 12 ÷ 6 = 120 ÷ 60 = ? 1,200…

Question

find the value of the division expressions.
12 ÷ 6 =
120 ÷ 60 = ?
1,200 ÷ 600 = ?

Explanation:

Step1: Solve \(12\div6\)

We know that 6 times 2 is 12, so \(12\div6 = 2\).

Step2: Solve \(120\div60\)

We can rewrite \(120\div60\) as \(\frac{120}{60}\). Notice that both the numerator and the denominator have a common factor of 60. Dividing both by 60, we get \(\frac{120\div60}{60\div60}=\frac{2}{1} = 2\). Alternatively, we can use the property of division: if we multiply both the dividend and the divisor by the same non - zero number, the quotient remains the same. Here, 120 is 12×10 and 60 is 6×10, so \(120\div60=(12\times10)\div(6\times10)=12\div6 = 2\).

Step3: Solve \(1200\div600\)

Similarly, 1200 is 12×100 and 600 is 6×100. So \(1200\div600=(12\times100)\div(6\times100)=12\div6 = 2\). We can also simplify the fraction \(\frac{1200}{600}\) by dividing both the numerator and the denominator by 600, which gives \(\frac{1200\div600}{600\div600}=\frac{2}{1}=2\).

Answer:

\(12\div6=\boldsymbol{2}\)
\(120\div60=\boldsymbol{2}\)
\(1200\div600=\boldsymbol{2}\)