Question

Match the expression to its value.

a) 0.01
b) 10⁻⁴
c) 10²
d) 10,000

Answer 1

Expressions a) 0.01, b) 10⁻⁴, c) 10², and d) 10,000 correspond to values of 10², 0.0001, 100, and 10⁴ respectively, matching each by the concept of integer powers.

Step-by-step explanation:

The provided expressions can be matched to their values by understanding the concept of integer powers. For each expression, we'll determine the corresponding value:

• Expression a) 0.01 is equivalent to 10² in decimal form, which means taking the base 10 and raising it to the power of -2.
• Expression b) 10⁻⁴ corresponds to the value of ten raised to the power of -4, which can be understood as the inverse of 10,000 or 0.0001.
• Expression c) 10² represents the square of ten, which is 100.
• Expression d) 10,000 is 10 raised to the power of 4, or 10⁴.

To match the expression to its value correctly:

• 0.01 is a)
• 10⁻⁴ is b)
• 10² is c)
• 10,000 is d)