Rational and Irrational Numbers Quick Check

Math 8 Q1 (Pre-Algebra) / The Number System

Estimate the value of 6×√2. Which of the following choices is the best estimate?(1 point)

7.1
8.4
9.8
6.4

The best estimate for 6×√2 is 8.4.

To estimate the value of 6×√2, we can use the fact that √2 is approximately 1.414. Multiplying 6 by 1.414 gives us an estimate of:

6 × 1.414 ≈ 8.484

Therefore, the best estimate from the given choices is 8.4.