Question

Is 4 × 10³ + 2 × 100 + 3 × 1/10 greater than, less than, or equal to 4 × 1,000 + 2 × 10² + 3 × 1/10?

a) Greater than
b) Less than
c) Equal to
d) Cannot be determined

Answer 1

The expressions 4 × 10³ + 2 × 100 + 3 × 1/10 and 4 × 1,000 + 2 × 10² + 3 × 1/10 both evaluate to 4,200.3; hence, they are equal.

Step-by-step explanation:

The question asks if 4 × 10³ + 2 × 100 + 3 × 1/10 is greater than, less than, or equal to 4 × 1,000 + 2 × 10² + 3 × 1/10. When we evaluate the expressions, we see that:

• 4 × 10³ corresponds to 4 × 1,000, which is 4,000.
• 2 × 100 is the same as 2 × 10², which means 200.
• 3 × 1/10 does not change and remains 0.3.

Adding these together we have:

4,000 + 200 + 0.3 = 4,200.3

The second expression also evaluates to 4,200.3 since 4 × 1,000 is 4,000, 2 × 10² is 200, and 3 × 1/10 is 0.3.

Thus, the statement "4 × 10³ + 2 × 100 + 3 × 1/10 is equal to 4 × 1,000 + 2 × 10² + 3 × 1/10" is true. The answer is c) Equal to.