Let's break down the statement "36 is 4 times as many as 9" step by step to understand which option correctly represents it.
1. The statement "36 is 4 times as many as 9" implies that if you multiply 9 by 4, you should get 36.
2. Mathematically, this can be represented as:
[tex]\[ 4 \times 9 = 36 \][/tex]
Now let's evaluate each option to see which one matches this representation:
- Option (a): [tex]\( 4 \times 9 = 36 \)[/tex]
This option correctly represents the statement since multiplying 9 by 4 gives 36.
- Option (b): [tex]\( 4 + 9 = 36 \)[/tex]
This option is incorrect because adding 4 and 9 results in 13, not 36.
- Option (c): [tex]\( 9 - 4 = 36 \)[/tex]
This option is incorrect because subtracting 4 from 9 results in 5, not 36.
- Option (d): [tex]\( 9 \div 4 = 36 \)[/tex]
This option is incorrect because dividing 9 by 4 results in 2.25, not 36.
Therefore, the correct option that represents the statement "36 is 4 times as many as 9" is:
[tex]\[ (a) \, 4 \times 9 = 36 \][/tex]
So, the final answer to the question is:
[tex]\[ \boxed{a} \][/tex]
