Answer:
The table with the missing number
1 5
2 10
5 25
10 50
Step-by-step explanation:
The form of the equivalent ratios is [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] , where a, b, c, and d are integers
From the given table, we will use the first row in all cases (a = 1 and c = 5)
∵ a = 1 and b = 2
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 2 × 5
∴ d = 10
∴ The first missing is 10
∵ a = 1
∵ c = 5 and d = 25
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{b}[/tex] = [tex]\frac{5}{25}[/tex]
→ By using the cross multiplication
∵ 5 × b = 1 × 25
∴ 5b = 25
→ Divide both sides by 5
∴ b = 5
∴ The second missing is 5
∵ a = 1 and b = 10
∵ c = 5
→ By using the form of the equivalent ratios above
∴ [tex]\frac{1}{10}[/tex] = [tex]\frac{5}{d}[/tex]
→ By using the cross multiplication
∵ 1 × d = 10 × 5
∴ d = 50
∴ The third missing is 50
∴ The equivalent ratios are [tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{5}{25}[/tex] = [tex]\frac{10}{50}[/tex]
The table with the missing numbers
1 5
2 10
5 25
10 50
