Estimating
estimate 347 / 6. Explain how you can use multiplication to estimate the quotient
6 x 57=342 (too small)
6 x 58=348 (just a bit too big but closer)
The cost of a camping trip was $2,484. The cost was divided equally among 6 families. How much money did each family pay?
$224
$414
$480
$481
$414
Sam had 575 photos printed. He puts an equal number of photos in each of 5 albums. Write an equation to show the number of photos Sam put in each album.
575/5=115
115 x 5 =575
Jerry needs 1,800 pennies to fill 6 jars. He will out an equal number of pennies in each jar. How many pennies will Jerry put in each jar. What basic fact is correct?
1800/6=250
1800/6=350
1800/6=300
1800/6=200
1800/6=300
Mrs. Kucera and her 11 students are going on a field trip. The bus holds 4 people per row (each row has 2 seats on each side). How many rows will they need so everyone has a seat? Write the equation and solve.
total people: 1 teacher + 11 students = 12 people
rows seat = 4 people each
12/4
they need 3 rows
estimate to get the quotient
530 / 9
1,530 / 3
782 / 8
475 / 6
530/9 = about 60
782/8 = about 100
475/6 = about 80
1,530/3 = about 500
There are 4,200 beads in a box. There are 6 bags of beads in each box. If each bag has the same number of beads, how many beads are in each bag?
4200 / 6 = 700
Mrs. Brooks has 34 yards of ribbon to make wreaths. Each wreath requires 5 yards of ribbon. How many wreaths can Mrs.Brooks make? How many yards will she have left?
34 / 5 = 6 R 4
Mario has 40 books and 5 nephews. He gives the same number of books to each nephew. Which equation shows how to find the number, b, of books Mario gives each nephew? (draw it out)
40+5=b
40x5=b
40-5=b
40/5=b
40/5 = 8 books for each nephew
What number is missing from the equations?
3,_00/4=800
805/__=115
420/7= ___0
90/8=1__R2
3,200/4=800
805/7=115
420/7=60
90/8=11R2
Tim earned $124 washing 6 cars. He earned the same amount of each car. Select all the equations that show reasonable estimates for the amount Tim earned washing each car.
$120 / 6 = $20
$200 / 5 = $ 40
$100 / 5 = $20
$200 / 4 = $50
$100 / 6 = $10
120 / 6 = $20
100 / 5 = $20
The distance from Columbus to Lexington is about 200 miles. Mrs.Potter's goal is to drive to Lexington in 4 hours. How many miles does she need to drive each hour to meet her goal?
200 / 4 = 50 miles each hour
A school is preparing gift bags for a class party. The teacher wants to put 5 stickers in each bag. If she has 132 stickers total, how many complete gift bags can she make?
132/5= 26.4
But round to the nearest whole number so 26
Chi has 144 books to place equally on 6 bookshelves. Which equation can you use to find how many books will be on each bookshelf?
144x6= b
144/ 6 = b
144+6=b
144-6=b
144/6=b
Mr. Draper uses 8 nails to secure each board of a fence. If there are 500 nails in a box, about how many boards will Mr.Draper be able to secure? Use compatible numbers to estimate the number of boards
8 x 62 = 496 which is close enough to 500. He can secure about 62 boards
The 5 fourth grade classes at Brown Elementary raised a total of $2,462 to purchase playground equipment. Write and solve an equation that shows one way to estimate the amount raised by each class.
Use multiplication to find a nearby easy quotient:
Linda likes origami. She plans to make 8 origami flowers each day until she has 37 flowers. Find out how many days it wil take Linda to fold all of the flowers.
37 / 8 = 4 R 5
So 5 days to reach or exceed 37 days
Mr.Keith saves an equal amount of money each month for 8 months. He is saving to buy a boat that costs $2,400. Write and solve an equation to find how much money Mr.Keith needs to save each month to buy a boat
2400/8 = 300
A school receives 225 worksheets to distribute equally among 9 classrooms. Which equation can you use to find how many worksheets each classroom gets?
25/9=25
The fourth graders are going to the theater to watch the movie version of the book they all have read. Each row seats 9 people. How many rows will be needs to seat everyone?
Mr. Blaines Class = 27 people
Mrs.Hatchs Class = 28 people
Miss Ruperts Class = 31 people
Mr. Langs class = 29 people
Teachers and Chaperones = 11 people
Total people: 27 + 28 + 31 + 29 + 11 = 126.
Rows seat 9 each. Divide: 126÷9=14
So they need 14 rows.
There are 331 cars parked on 4 different floors of the parking garage. There are about the same number of cars parked on each floor. Select all the statements that are reasonable estimates for the number of cars parked on each floor.
40 cars, because 331 / 4 is about 160 / 4
80 cars, because 331 / 4 is about 320 / 4
40 cars, because 331 / 4 is about 360 / 9
100 cars, because 331 / 4 is about 300 / 3
60 cars, because 331 / 4 is about 360 / 6
80 cars, because 331 / 4 is about 320 / 4
Choose yes or no to tell if the remainder is 3
52/6 = 8 R? yes or no
351/6 = 58R? yes or no
1,348/7= 192R? yes or no
2,699/8=337R? yes or no
351/6= 58 R 3 YES
1,348/7= 192 R 4 NO
2,699/8=337 R 3 YES
A school district orders 738 crayons to share equally among 10 classrooms. How many whole crates of crayons does each classroom get, and how many crayons are left over?
738/10= 73.8
Each classroom gets 73
8 crayons left over
The district orders 476 notebooks to share equally into 8 boxes. Which equation can you use to find how many notebooks will be in each box?
476/8=59
476/8=58 R4
476/8= 59 R 4
476/8=58
476/8= 59 R4
Use an algorithm to find the quotient. Choose numbers from the box to complete the calculations. Use each number once.
Numbers: 0, 1, 2, 3, 4, 6, 7, 9
676/4
676/4 = 169