which equation can be represented using the number line?​

Accepted Solution

Answer:First Equation: [tex]\frac{3}{4} \div \frac{1}{8} =6[/tex]Step-by-step explanation:From the given number line we can see that there are 6 arrows/jumps of equal sizes to reach from 0 to [tex]\frac{3}{4}[/tex]Each small jump is equivalent to [tex]\frac{1}{8}[/tex]. This is because from 0 to [tex]\frac{1}{4}[/tex] there are 2 jumps, so 1 jump will be equal to [tex]\frac{1}{4}[/tex] divided by 2 which is equal to [tex]\frac{1}{8}[/tex]From 0 to [tex]\frac{3}{4}[/tex], 6 jumps of [tex]\frac{1}{8}[/tex] are made. In other words we can say [tex]\frac{1}{8}[/tex] is added to itself 6 times to reach to [tex]\frac{3}{4}[/tex].Adding [tex]\frac{1}{8}[/tex] 6 times to itself also means multiplying [tex]\frac{1}{8}[/tex] by 6. So we can set up the equation as:[tex]\frac{1}{8} \times 6 = \frac{3}{4}[/tex]Dividing both sides by [tex]\frac{1}{8}[/tex] Β we get:[tex]6=\frac{3}{4} \div \frac{1}{8} \\\\ or\\\\ \frac{3}{4} \div \frac{1}{8} =6[/tex]Hence, the first equation represents the given number line.