Final answer:
To determine which pairs of numbers can be expressed as terminating decimals, we need to look for numbers that can be written in the form a/b where b is a power of 10.
Step-by-step explanation:
Decimals that terminate are decimals that have a finite number of digits after the decimal point. To determine which of the given pairs of numbers can be expressed as terminating decimals, we need to look for numbers that can be written in the form a/b where b is a power of 10 (e.g. 10, 100, 1000, etc.).
a. 4 and 852:
4 can be written as 4/1 which is a terminating decimal. 852 cannot be written in the form a/b where b is a power of 10, so it is not a terminating decimal.
b. 9 and 37:
Both 9 and 37 can be written as a/b where b is a power of 10, so they are both terminating decimals.
c. 4 and 93:
4 can be written as 4/1 which is a terminating decimal. 93 cannot be written in the form a/b where b is a power of 10, so it is not a terminating decimal.
d. 8 and 3:
Both 8 and 3 can be written as a/b where b is a power of 10, so they are both terminating decimals.
Therefore, the pairs of numbers that can be expressed as terminating decimals are b. 9 and 37, d. 8 and 3.