Answer:
[tex](c)\ \dfrac{40}{100}\cdot 84[/tex]
[tex](e)\ 0.4\cdot 84[/tex]
Step-by-step explanation:
Given
[tex]40\%\ of\ 84[/tex]
Required
Two options with the same value
First, calculate the value of: [tex]40\%\ of\ 84[/tex]
[tex]40\%\ of\ 84 = 0.40 * 84[/tex]
[tex]40\%\ of\ 84 = 33.6[/tex]
So, we have:
[tex](a)\ 40\cdot 84[/tex]
[tex]40\cdot 84 = 40 * 84[/tex]
[tex]40\cdot 84 = 3360[/tex]
[tex](b)\ 0.4\div 84[/tex]
[tex]0.4\div 84 = \frac{0.4}{84}[/tex]
[tex]0.4\div 84 = 0.00476[/tex]
[tex](c)\ \dfrac{40}{100}\cdot 84[/tex]
[tex]\dfrac{40}{100}\cdot 84 =\dfrac{40}{100}*84[/tex]
[tex]\dfrac{40}{100}\cdot 84 = 0.40*84[/tex]
[tex]\dfrac{40}{100}\cdot 84 = 33.6[/tex]
[tex](d)\ 84 \div 40[/tex]
[tex]84 \div 40 = \frac{84}{40}[/tex]
[tex]84 \div 40 = 2.10[/tex]
[tex](e)\ 0.4\cdot 84[/tex]
[tex]0.4\cdot 84 = 0.4 * 84[/tex]
[tex]0.4\cdot 84 = 33.6[/tex]
By comparison, we have:
[tex](c)\ \dfrac{40}{100}\cdot 84[/tex]
[tex](e)\ 0.4\cdot 84[/tex]
have the same value as: [tex]40\%\ of\ 84[/tex]