High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Which of these expressions is equivalent to [tex]$5.8 \div 1.15$[/tex]?

A. [tex]$0.58 \div 115$[/tex]
B. [tex]$5.8 \div 115$[/tex]
C. [tex]$58 \div 115$[/tex]
D. [tex]$580 \div 115$[/tex]

Answer :

We want to find which candidate expression is equivalent to

$$5.8 \div 1.15.$$

A convenient strategy is to eliminate decimals by multiplying both the numerator and the denominator by the same number. Here, multiplying by 100 works well. Doing this, we get:

$$
5.8 \div 1.15 = \frac{5.8}{1.15} = \frac{5.8 \times 100}{1.15 \times 100} = \frac{580}{115}.
$$

Now, comparing with the given expressions:

1. $$0.58 \div 115$$
2. $$5.8 \div 115$$
3. $$58 \div 115$$
4. $$580 \div 115$$

We see that the expression $$\frac{580}{115}$$ is the same as $$580 \div 115.$$

Thus, the candidate expression that is equivalent to $$5.8 \div 1.15$$ is:

$$580 \div 115.$$