Decimals
Compare using <, > or =
0.10 ___ 0.1
0.10 = 0.1
Answer each question.
a.) Two angles join to form a 105° angle. The first angle measures 60°. What is the measure of the second angle?
b.) Two angles join to form a right angle. The first angle measures 30°. What is the measure of the second angle?
c.) Two angles join to form a straight angle. The first angle measures 100°. What is the measure of the second angle?
a.) 105° - 60° = 45°
b.) right angle = 90° ---> 90° - 30° = 70°
c.) straight line =180° ---> 180° - 100° = 80°
From largest to smallest: 1 3/10, 5 9/10, 2 5/10, 3 6/10, 1 7/10
5 9/10, 3 6/10, 2 5/10, 1 7/10, 1 3/10?
One yard of ribbon cost $4.50. Olivia buys 2 1/2 yards of ribbon. She gives the clerk four $5.00 bills. How much change does Olivia get back?
Cost
2 yard = $4.50 x 2 = $9.00
1/2 yard = $4.50 /2 = $2.25
Total = $9.00 + $2.25 = $11.25
Money = 4 x $5 = $20
Change = $20 - $11.25 = $8.75
John began watching a football game at 7:15 PM. The game lasted 3 hours and 45 minutes. What time was the game over?
7:15 + 45 minutes = 8:00 PM
8:00 PM + 3 hrs = 11:00 PM
The game was over at 11 PM
Compare using <, > or =
a.) 0.77 ___ 0.07
b.) 0.79 ___ 0.9
c.) 0.49 ___ 0.4
a.) 0.77 > 0.07
b.) 0.79 < 0.9
c.) 0.49 > 0.4
Solve
6 1/8 + 5 6/8
6 1/8 + 5 6/8
1 /8 + 6 /8 = 7/8
6 + 5 = 11
11 7/8
Write 795,829 in expanded form. Then compare the two values of the digit 9.
_____ is _____ times _______
Expanded Form
700,000 + 90,000 + 5,000 + 800 + 20 + 9
90,000 vs 9
_90,000__ is __10,000___ times ___9____
Jose has $105. He divides this amount evenly into two funds: Save and Spend. He spends $18 on a new water bottle. How much money does Jose have left in his Spend fund?
Split evenly means DIVIDE BY 2!
$105 / 2 = $52.50
Spend = $52.50 Save = $52.50
Spent: $52.50 - $18 = $34.50
Lisa finished jogging at 4:50 PM. She jogged for 1 hour and 15 minutes. What time did Lisa start jogging?
4:50 - 15 mins = 4:35 PM
4:35 PM - 1 hr = 3:35 PM
Lisa started jogging at 3:35 PM.
Answer each question.
a.) what is 3/4 in decimal form
b.) what is 1/4 in decimal form
c.) what is 0.5 in fraction form
*Hint: to find the decimal of a fraction you just divide the numerator by the demoniator*
a.) 0.75
b.) 0.25
c.) 1/2
Mrs. Cooper needs to use 6 2/5 bolts of cotton fabric to make a bulk order of 220 branded t-shirts. There were 3 4/5 bolts of cotton fabric left in the tailoring shop. How many more bolts of cotton fabric does she need to complete the bulk order?
6 2/5 - 3 4/5 = 2 3/5
Mrs. Cooper needs 2 3/5 more bolts of cotton fabric.
Write a number that is
a.) greater then 0.53 but less than 0.62
b.) less than 0.09 but greater than 0.06
c.) less than 0.52 but greater than 0.5
a.) 0.54 - 0.61
b.) 0.08 or 0.07
c.) 0.51
Carolyn has $1,650. She buys a HP laptop for $700. Then she spends half the money she has left on a printer. She spends half the money she has left after buying the printer on a desk. How much did she send on the desk?
$1,650 - $700 = $950
How much was the printer?
$950 / 2 = $475
How much does she have left now?
$950 - $475 = $475
How much did she pay for the laptop bag?
$475 / 2 = $237.50
Carolyn spent $237.50 on a laptop case
At art class, Mrs Smith spends 10 minutes giving instructions, 38 minutes working on the project, and 12 minutes cleaning up. If class starts at 1:10 PM, what time will it end?
10 min + 38 min + 12 min = 60 min
1:10 + 1 hr (60 min) = 2:10 PM
Is this statement true? If not use <, >, or = to make the statement true.
3/4 > 0.80
False
3/4 < 0.80
You are helping to make a plan for five new roads in your town as follows:
- Maple street and Harrison Avenue are neither parallel nor perpendicular to each other
- Smith Road crosses Maple street but never crosses Harrison Avenue
- Birch Street crosses all the other roads but only forms a right angle with Smith and Harrison Av
- Orange Place crosses 3 of the other roads
- Harrison Av forms a right angle
Draw a map of these roads!
Show me the boards!
Solve
8 2/8 - ___ = 5 3/8
8 2/8 - 5 3/8 =
2/8 - 3/8 = need to regroup
8 -->7 2/8 ---> (2 + 8)/8 ---> 10/8
10/8 - 3/8 = 7/8
7 - 5 = 2
2 7/8
Aaron has three $20 bills and two $5.00 bills. He buys 4 books for $6 each and a package of bookmarks for $10. he also decides to buy a $12 sketchbook for his brother. Does he have enough money? If so, How much change does he get back?
Find out how much we spent
4 x $6 = $24
$24 + $10 + $12= $34
Spent __$46__
How much we have
3 x $20 = $60
2 x $5 = $10
$60 + $10 = $70
Have __ $70__
Yes he has enough money
Change
$70 - $46 = $24
Mrs. Bread spends 2 1/2 hours cooking. She spends 35 minutes at the store getting ingredients and 20 minutes prepping the ingredients for dinner. She spends 45 minutes cooking dinner. She then divides the rest of her time evenly between washing dishes and making a dessert. How long did she spends doing the dishes?
1 hr = 60 min 1/2 hr = 30 min
2 1/2 hrs = 120 mins + 30 min = 150 min
35 min + 20 min + 45 min = 100
150 min - 100 min = 50 min
50 min / 2 = 25 min
Mrs. Bread spends 25 mins doing the dishes
Jerry set a goal to run 10 kilometers during the school week. He ran 3.42 miles on Monday and 2.7 miles on Tuesday. How many miles does Jerry still need to run to reach his goal?
*hint: 1 kilometer = 0.62 miles*
1 km = 0.62 miles
10 km = 10 x 0.62 miles
10 km = 6.2 miles
3.42 miles + 2.7 miles = 6.12 miles
6.20 miles - 6.12 miles = 0.08 miles
Jerry needs to run 0.08 more miles to reach his goal
Mia's math class had an Easter egg drawing competition in which they had to use as many angles as possible in their design. Mia created a colorful pattern with 10 equivalent angles starting form the top of the egg. She carefully measured each angle to be 25°. What angle is formed by all 10 angles coming from the top of the egg?
25° x 10 = 250°
Obtuse Angle
From smallest to largest: 77.495, 0.4, 77.459, 4.3, 66.425
What is 0.4, 4.3, 6.425, 77.495, 77.459?
Alex earns $10.50 per hour working at waffle house. He works for 40 hours per week. Alex worked for a month. After getting payed Alex pays for $975 for rent and then with the remaining money buys 4 sandwiches for $3.15 each and a gallon of milk for $1.25. How much money does Alex have left?
Money
$10.50 x 40 hours = $420
$420 x 4 weeks ( 1 month ) = $1,680
Spent
4 x $3.15 = $12.60
$975 + $12.60 + $1.25 = $988.85
Leftover
$1,680 - $988.85 = $691.15
Zoe is at Coachella. At stage 3 Zoe spends 45 minutes each watching Doja Cat and Sabrina Carpenter, 50 minutes ATEEZ at stage 5, and 75 minutes watching Kid Cudi and Tyler, the Creator. If Zoe left coachella at 11 PM what time did she arrive at Coachella?
2(45 min) + 50 min + 75 min = 215 min
215 min -----> hours
1 hr = 60 min
215 / 60 = 3 hr 35 min
11 PM - 3 hr 35 min
11:00 - 35 min = 10:25 PM
10:25 PM - 3 hr = 7:25 PM
Zoe got to Coachella at 7:25 PM