Question

1. higher order thinking the maya civilization used a number system based on base 20. the numerals used only three symbols: a shell shape, a dot, and a bar. the numbers from 0 to 19 are shown.

draw symbols to write a maya number between 50 and 90. explain how to use the symbols to write the number in standard form.

1. represent and connect beth bought 5 packs of pencils. each pack has 8 pencils. draw an array and write an equation to find how many pencils beth bought.

1. use patterns and structure how does the product change when one of the factors in a multiplication problem is doubled? give two examples to support your conclusion.

1. micah has 28 pairs of socks. how many individual socks does micah have?

a 14 socks
b 16 socks
c 54 socks
d 56 socks

1. a deck surrounds a rectangular swimming pool. what is the area of the pool and deck?

Explanation:

16.

Step1: Choose a number between 50 and 90

Let's choose 60.

Step2: Express 60 in base - 20

Divide 60 by 20. $60\div20 = 3$ with a remainder of 0. In the Maya number - system, for the number of 20s (the top - number), we use dots. Since we have 3 groups of 20, we draw 3 dots in the top row. And since the remainder is 0, we draw the shell shape (which represents 0) in the bottom row.
To convert back to standard form, we use the rule: multiply the top - number by 20 and add the bottom - number. Here, the top - number is 3 and the bottom - number is 0. So, $3\times20+0 = 60$.

17.

Step1: Draw an array

Draw an array with 5 rows and 8 columns (or 8 rows and 5 columns). Each cell in the array represents a pencil.

Step2: Write an equation

The equation to find the total number of pencils is $5\times8=40$ or $8\times5 = 40$.

18.

Step1: State the rule

When one of the factors in a multiplication problem is doubled, the product is also doubled.

Step2: Example 1

Let the multiplication problem be $3\times4 = 12$. If we double the first factor, we get $6\times4=24$. Here, 12 is doubled to 24.

Step3: Example 2

Let the multiplication problem be $2\times5 = 10$. If we double the second factor, we get $2\times10 = 20$. Here, 10 is doubled to 20.

19.

Answer:

D. 56 socks

20.