Question

thursday
#16 what is the area of a rectangle with a length of 85 mm and a width of 16 mm?
#17 is the fraction below less or more than ½?
\\(\frac{2}{8}\\)
#18 evaluate the expression
\\(\

$$\begin{array}{r}542\\\\\\times\\ 19\\\\\\hline\\end{array}$$

\\)
#19 what type of angle is shown below?
(angle image)
#20 the population of noblesville was 52,572 last year. the population increased and now noblesville has a population of 61,882. how many more people live in noblesville this year compared to last year?

Explanation:

For #16:

Step1: Recall area formula for rectangle

The area \( A \) of a rectangle is given by the formula \( A = \text{length} \times \text{width} \).

Step2: Substitute values

Given length \( = 85 \) mm and width \( = 16 \) mm. So, \( A = 85 \times 16 \).
Calculate \( 85\times16=(80 + 5)\times16=80\times16+5\times16 = 1280+80 = 1360 \) square millimeters.

Step1: Simplify the fraction

The fraction given is \( \frac{2}{8} \), which simplifies to \( \frac{1}{4} \) (dividing numerator and denominator by 2).

Step2: Compare with \( \frac{1}{2} \)

We know that \( \frac{1}{4}=0.25 \) and \( \frac{1}{2} = 0.5 \). Since \( 0.25<0.5 \), \( \frac{2}{8} \) is less than \( \frac{1}{2} \).

Step1: Multiply by units digit

First, multiply 542 by 9 (the units digit of 19): \( 542\times9 = 4878 \).

Step2: Multiply by tens digit

Then, multiply 542 by 10 (the tens digit of 19, considering place value): \( 542\times10 = 5420 \).

Step3: Add the results

Add the two products: \( 4878+5420 = 10298 \).

Answer:

1360 square millimeters

For #17: