Question

1. which statement is true about the product of 4 × 2/3?

a) the product is greater than 1 and less than 2.
b) the product is greater than 2 and less than 3.
c) the product is greater than 3 and less than 4.

1. which statement correctly compares 26.495 and 17.64?

a) the 6 in 26.495 is 10 times the value of the 6 in 17.64.
b) the 6 in 26.495 is 1/10 the value of the 6 in 17.64.
c) the 6 in 26.495 is 100 times the value of the 6 in 17.64.

Explanation:

Step1: Calculate $4 \times \frac{2}{3}$

$4 \times \frac{2}{3} = \frac{8}{3} \approx 2.67$

Step2: Match result to statement

$\frac{8}{3}$ is between 2 and 3.

Step3: Identify value of 6s

In 26.495, 6 is in ones place ($6 \times 1 = 6$). In 17.64, 6 is in tenths place ($6 \times 0.1 = 0.6$).

Step4: Compare the two values

$\frac{6}{0.6} = 10$, so the 6 in 26.495 is 10 times the 6 in 17.64.

Answer:

1. B) The product is greater than 2 and less than 3.
2. A) The 6 in 26.495 is 10 times the value of the 6 in 17.64.