NS.3 - Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
WARM-UP
1) 20.63 + 0.785 = 2) 67.1 – 3.276 =
3) 9.5 x 3.42 = 4) 3.375 ÷ 0.25 =
3) 9.5 x 3.42 = 4) 3.375 ÷ 0.25 =
MINI LESSON - INDEPENDENT WORK/SHARE OUT/DISCUSSION
1) Dennis and Tyler stop at a convenience store. Dennis wants a fruit roll-up that costs 0.99. Tyler wants a coffee that costs 1.57. Tyler forgot his money, so Dennis offers to pay for both of them. What does Dennis need to pay the cashier?
2) Usain Bolt, the world's fastest man, set the world record in the 100 metres with a time of 9.572 seconds. Justin Gatlin, the fastest-ever American in the event, has a personal best of 9.766 seconds. How much faster is Bolt than Gatlin in the 100 metres?
3) Kevin jogged 6.2 miles each day for 30 straight days. How many miles did he jog in total?
4) Tommy has a leftover piece of wood that is 84.3 inches. He needs pieces that are 7.5 inches. How many 7.5 inch pieces can Tommy cut from the leftover piece?
5) Corey went to the park on 20 different days this month.
2) Usain Bolt, the world's fastest man, set the world record in the 100 metres with a time of 9.572 seconds. Justin Gatlin, the fastest-ever American in the event, has a personal best of 9.766 seconds. How much faster is Bolt than Gatlin in the 100 metres?
3) Kevin jogged 6.2 miles each day for 30 straight days. How many miles did he jog in total?
4) Tommy has a leftover piece of wood that is 84.3 inches. He needs pieces that are 7.5 inches. How many 7.5 inch pieces can Tommy cut from the leftover piece?
5) Corey went to the park on 20 different days this month.
- One-day pass to the park is $2.50
- Monthly pass to the park is $25.00
- How much money would Corey save if he purchased the monthly pass?
TEAM CHALLENGE
Jayden’s Snacks
Jayden has $20.56. He buys an apple for 79 cents and a granola bar for $1.76.
Reasoning about Multiplication and Division and Place Value, Part 1
Use the fact that 13×17=221 to find the following.
a. 13×1.7
b. 130×17
c. 13×1700
d. 1.3×1.7
e. 2210÷13
f. 22100÷17
g. 221÷1.3
Reasoning about Multiplication and Division and Place Value, Part 2
Place a decimal on the right side of the equal sign to make the equation true. Explain your reasoning for each.
a. 3.58×1.25=044750
b. 26.97÷6.2=04350
Gifts from Grandma
a. Juanita spent $24.50 on each of her 6 grandchildren at the fair. How much money did Juanita spend?
b. Nita bought some games for her grandchildren for $42.50 each. If she spent a total of $340, how many games did Nita buy?
c. Helen spent an equal amount of money on each of her 7 grandchildren at the fair. If she spent a total of$227.50, how much did each grandchild get?
Buying Gas
Sophia’s dad paid $43.25 for 12.5 gallons of gas. What is the cost of one gallon of gas?
Movie Tickets
Hallie is in 6th grade and she can buy movie tickets for $8.25. Hallie's father was in 6th grade in 1987 when movie tickets cost $3.75.
a. When he turned 12, Hallie's father was given $20.00 so he could take some friends to the movies. How many movie tickets could he buy with this money?
b. How many movie tickets can Hallie buy for $20.00?
c. On Hallie's 12th birthday, her father said,
When I turned 12, my dad gave me $20 so I could go with three of my friends to the movies and buy a large popcorn. I'm going to give you some money so you can take three of your friends to the movies and buy a large popcorn.
How much money do you think her father should give her?
Pennies to Heaven
A penny is about 1/16 of an inch thick.
a. In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
b. In the past 100 years, nearly 500 billion pennies have been minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
c. The distance from the moon to the earth is about 239,000 miles. How many pennies would need to be in a stack in order to reach the moon?
Setting Goals
a. Seth wants to buy a new skateboard that costs $167. He has $88 in the bank. If he earns $7.25 an hour pulling weeds, how many hours will Seth have to work to earn the rest of the money needed to buy the skateboard?
b. Seth wants to buy a helmet as well. A new helmet costs $46.50. Seth thinks he can work 6 hours on Saturday to earn enough money to buy the helmet. Is he correct?
c. Seth’s third goal is to join some friends on a trip to see a skateboarding show. The cost of the trip is about$350. How many hours will Seth need to work to afford the trip?
Jayden has $20.56. He buys an apple for 79 cents and a granola bar for $1.76.
- How much money did Jayden spend?
- How much money does Jayden have now?
Reasoning about Multiplication and Division and Place Value, Part 1
Use the fact that 13×17=221 to find the following.
a. 13×1.7
b. 130×17
c. 13×1700
d. 1.3×1.7
e. 2210÷13
f. 22100÷17
g. 221÷1.3
Reasoning about Multiplication and Division and Place Value, Part 2
Place a decimal on the right side of the equal sign to make the equation true. Explain your reasoning for each.
a. 3.58×1.25=044750
b. 26.97÷6.2=04350
Gifts from Grandma
a. Juanita spent $24.50 on each of her 6 grandchildren at the fair. How much money did Juanita spend?
b. Nita bought some games for her grandchildren for $42.50 each. If she spent a total of $340, how many games did Nita buy?
c. Helen spent an equal amount of money on each of her 7 grandchildren at the fair. If she spent a total of$227.50, how much did each grandchild get?
Buying Gas
Sophia’s dad paid $43.25 for 12.5 gallons of gas. What is the cost of one gallon of gas?
Movie Tickets
Hallie is in 6th grade and she can buy movie tickets for $8.25. Hallie's father was in 6th grade in 1987 when movie tickets cost $3.75.
a. When he turned 12, Hallie's father was given $20.00 so he could take some friends to the movies. How many movie tickets could he buy with this money?
b. How many movie tickets can Hallie buy for $20.00?
c. On Hallie's 12th birthday, her father said,
When I turned 12, my dad gave me $20 so I could go with three of my friends to the movies and buy a large popcorn. I'm going to give you some money so you can take three of your friends to the movies and buy a large popcorn.
How much money do you think her father should give her?
Pennies to Heaven
A penny is about 1/16 of an inch thick.
a. In 2011 there were approximately 5 billion pennies minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
b. In the past 100 years, nearly 500 billion pennies have been minted. If all of these pennies were placed in a single stack, how many miles high would that stack be?
c. The distance from the moon to the earth is about 239,000 miles. How many pennies would need to be in a stack in order to reach the moon?
Setting Goals
a. Seth wants to buy a new skateboard that costs $167. He has $88 in the bank. If he earns $7.25 an hour pulling weeds, how many hours will Seth have to work to earn the rest of the money needed to buy the skateboard?
b. Seth wants to buy a helmet as well. A new helmet costs $46.50. Seth thinks he can work 6 hours on Saturday to earn enough money to buy the helmet. Is he correct?
c. Seth’s third goal is to join some friends on a trip to see a skateboarding show. The cost of the trip is about$350. How many hours will Seth need to work to afford the trip?