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HW 1.9: Comparing and Ordering Rational Numbers
DIRECTIONS: For #1 and #2, compare and order the following numbers. Solve #3 – 9, and simplify #10.
1)
From least to greatest: 1.78, , 1.7, 181%,
2) From greatest to least:
, -0.4 ,
,
, 38%
3) In a survey of 700 voters, the ratio of men to women taking part was 17 : 18. How many women took part in the
survey?
4) The perimeter of a rectangle is 68 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 9 :
8.
5) A collection of dime and nickels is worth $5.60. The ratio of the number of dimes to nickels is 3 : 2. Find the
number of each type of coin. (Hint: Make a coin value chart).
6) In a collection of nickels, dimes, and quarters worth $6.90, the ratio of the number of nickels to dimes is 3 : 8. The
ratio of the number of dimes to quarters is 4 : 5. Find the number of each type of coin (Hint: Make a coin value
chart).
7) Julia enlarged her 6 inch tall by 18 inch wide photo at Kinko’s so that the height was 17 inches. If the enlarged
photo was proportional to the original photo, what is its width?
8) On a map, 1 cm represents 10 km, and Wyoming is a rectangle 44.5 cm by 59.1 cm. Find the area of Wyoming in
km2.
9) Tyra and Paige are both older than Vivian. America is older than Tyra but younger than Paige. List the names of
these people in order from oldest to youngest.
10) Simplify the following: (3 + 2 • 2) ÷ 8 – 1 ÷ – 8
HW 1.9: Comparing and Ordering Rational Numbers
DIRECTIONS: For #1 and #2, compare and order the following numbers. Solve #3 – 9, and simplify #10.
1)
From least to greatest: 1.78, , 1.7, 181%,
2) From greatest to least:
, -0.4 ,
,
, 38%
3) In a survey of 700 voters, the ratio of men to women taking part was 17 : 18. How many women took part in the
survey?
4) The perimeter of a rectangle is 68 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 9 :
8.
5) A collection of dime and nickels is worth $5.60. The ratio of the number of dimes to nickels is 3 : 2. Find the
number of each type of coin. (Hint: Make a coin value chart).
6) In a collection of nickels, dimes, and quarters worth $6.90, the ratio of the number of nickels to dimes is 3 : 8. The
ratio of the number of dimes to quarters is 4 : 5. Find the number of each type of coin (Hint: Make a coin value
chart).
7) Julia enlarged her 6 inch tall by 18 inch wide photo at Kinko’s so that the height was 17 inches. If the enlarged
photo was proportional to the original photo, what is its width?
8) On a map, 1 cm represents 10 km, and Wyoming is a rectangle 44.5 cm by 59.1 cm. Find the area of Wyoming in
km2.
9) Tyra and Paige are both older than Vivian. America is older than Tyra but younger than Paige. List the names of
these people in order from oldest to youngest.
10) Simplify the following: (3 + 2 • 2) ÷ 8 – 1 ÷ – 8