College

Which of the following options have the same value as 40% of 84?

Choose 2 answers:

A. [tex]40 \cdot 84[/tex]

B. [tex]0.4 \div 84[/tex]

C. [tex]\dfrac{40}{100} \cdot 84[/tex]

D. [tex]84 \div 40[/tex]

E. [tex]0.4 \cdot 84[/tex]

Answer :

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]