*Week 19~Tuesday

Fill in the chart converting between fractions, decimals, and percents.

What is the decimal form of 2/5%?

• 0.125

• 0.004

• 12.5

• 112.5

Using the values from the chart in Problem 1, which is the LEAST? Explain how you arrived at your answers.

• The least of the values is 1.125. When comparing the three decimals, 𝟎.𝟏𝟐𝟓, 𝟏.𝟏𝟐𝟓, and 𝟎.𝟎𝟎𝟒, you can see that 𝟎.𝟎𝟎𝟒 is the smallest value, so 1.125 is the least of the values.

• The least of the values is 1/8. When comparing the three decimals, 𝟎.𝟏𝟐𝟓, 𝟏.𝟏𝟐𝟓, and 𝟎.𝟎𝟎𝟒, you can see that 1/8 is the smallest value, so 1/8 is the least of the values.

• The least of the values is 𝟐/𝟓%. When comparing the three decimals, 𝟎.𝟏𝟐𝟓, 𝟏.𝟏𝟐𝟓, and 𝟎.𝟎𝟎𝟒, you can see that 𝟎.𝟎𝟎𝟒 is the smallest value, so 𝟐/𝟓 % is the least of the values.

Benjamin believes that 𝟏/𝟐% is equivalent to 𝟓𝟎%. Is he correct? Why or why not?

• Benjamin is not correct because 𝟏/𝟐% is equivalent to 𝟎.𝟓𝟎%, which is equal to 𝟏/𝟐/𝟏𝟎𝟎 . The second percent is equivalent to 𝟓𝟎/𝟏𝟎𝟎 . These percents are not equivalent.

• Benjamin is correct because 𝟏/𝟐% is equivalent to 𝟎.𝟓𝟎%, which is equal to 𝟏/𝟐/𝟏𝟎𝟎 . These percents are equivalent.

Solve:

2x + 4 - 3x = -11

• x = -15

• x = 15

• x = 7

• x = -7

Solve:

33 < m - 91

• m < 124

• m < -58

• m > 124

• m > 28

Graph the inequality on a number line:

-6 > m

What are the possible solutions to this inequality?

• -9

• 0

• -6

• -22

Which inequality represents the phrase:

The sum of a number and 7 is no more than 53.

• n + 7 ≥ 53

• 7n ≤ 53

• 7 + n ≤ 53

• 53 ≤ 7n

What is the unit rate for the table showing the cost of movies?

• $2.75 per ticket

• $1.00 per 2.75 tickets

• 2.75

• $3.00