Multiplicative Comparison
A kangaroo can jump 6 times the length of its body. For a kangaroo that is 5 feet long, how far can it jump?
6 x 5 = 30 feet
Three friends ordered 2 pizzas. Each pizza was cut into 8 slices. If each person ate the same number of slices, how many slices did each person eat?
2 x 8 = 16 slices of pizza
16 ÷ 3 = 5R1
Each friend ate 5 pieces of pizza and there was one slice left over.
Steven has 461 songs downloaded. Esther has 123 more songs downloaded than Steven. How many songs does Esther have?
461 + 123 = 584 songs
Ms.Boudrot ordered 7 boxes of blue balloons and 2 boxes of red balloons for a party. She ordered a total of 1,125 balloons. How many balloons are in each box?
7 + 2 = 9 boxes
1,125 ÷ 9 = 125 balloons in each box
The amount that is left after dividing a number into equal parts.
Remainder
Brianny has 24 pencils and 6 erasers. How many times as many pencils as erasers does Brianny have?
24 ÷ 6 = 4
Brianny has 4 times as many pencils as erasers.
Wyatt spent $79 on 3 shirts and a package of socks. If each shirt cost $24, how much did the package of socks cost?
$24 x 3 = $72
Hidden question: The shirts cost $72
$79 - $72 = $7 (cost of the socks)
Perla bought 192 balloons. Isaiah bought 118 more balloons than Perla. How many balloons did Isaiah buy?
192 + 118 = 310 balloons
The percussion section of a marching band has 4 times as many musicians as the trombones and French horns combined. How many musicians are in the percussion section? There are 18 trombones and 12 French horns.
18 + 12 = 30 Trombones and French Horns combined
4 x 30 = 120 musicians in the percussion section
A symbol or letter that stands for a number.
Variable
Anjel has 32 rocks in his collection. He has 4 times as many rocks as his brother. How many rocks does Anjel's brother have?
32 ÷ 4 = 8
Anjel's brother has 8 rocks.
There are 64 singers in the choir. The tenors and sopranos are in separate rows. There are 8 singers in each row. There are 4 rows of tenors. How many rows of sopranos are there?
64 ÷ 8 = 8 rows (hidden question)
8 - 4 = 4 rows of sopranos
Erick worked 618 hours last year. Valentina worked 487 hours last year. How many more hours did Erick work than Valentina?
Use the inverse operation of subtraction to solve for the comparison.
618 - 487 = 131 hours
Ms. Boudrot needs $9,240 for her first year of college tuition. Each of her two grandfathers agreed to match what she saves. She has 8 years to save before she goes to college. How much does Ms.Boudrot need to save on her own each year to have enough for her first year with help from her grandfathers?
$9,240 ÷ 3 = $3,080 total amount Ms.Boudrot needs to save
$3,080 ÷ 8 = $385 (Amount that Ms.Boudrot needs to save on her own each year)
Number sentence that uses an equal sign to show that two expressions have the same value.
Equation
Zariah jogged 54 laps around the football field. Sophia ran 9 laps. How many times as many laps did Zariah run than Sophia?
9 x 6 = 54
Zariah ran 6 times as many laps as Sophia.
Nathan wants to beat the record for the most points scored in a season. This season, he has scored 51 points. If he scores 27 points at each of the next 7 games, he will break the record by 1 point. How many total points will he need to score to break the record by 1 point.
27 x 7 = 189 points
189 + 51 = 240 total points
Kyle watched 238 movies. Jason has watched 49 more movies than Kyle. How many movies has Jason watched?
238 + 49 = 287 movies
Mrs. Slater and her 3 brothers want to buy a gift for their mother. They have $314 saved. Each of them will save $17 a week until they have at least $515 for her gift. How much money will they save after 3 weeks? Will they have enough money to buy the gift?
$515 - $314 = $201 left to save
4 x $17 = $68 saved each week
$68 x 3 = $204 saved after 3 weeks
$204 - $201 = $3 left over
Yes, they will have enough money to buy the gift and there will be $3 left over.
Number sentence that does not use an equal sign
Expression
Julio has 12 times as many baseball cards as Charianna. Charianna has 29 more cards than Chance. Chance has 28 baseball cards. How many baseball cards does Julio have?
28 + 29 = 57
12 x 57 = 684 baseball cards
Kemi has $600 saved for a trip. She buys an airline ticket for $120 and reserves a hotel room for $55 each night for 4 nights. If Kemi's trip lasts for 5 days and she spends the same amount each day, how much can Kemi spend each day?
$55 x 4 = $220 (hidden question)
$600 - $220 = $380
$380 - $120 = $260 left to spend
$260 ÷ 5 = $52 to spend each day
Jordy sells 292 newspapers. Wyatt sells 117 more newspapers than Jordy. How many newspapers does Wyatt sell?
292 + 117 = 409 newspapers
At a local shelter, large dogs can be adopted for $10 each. Small dogs can be adopted for $5 each. There are 17 large dogs available for adoption. If all the dogs are adopted, the shelter will make $215. How many small dogs are at the shelter?
17 x $10 = $170
$215 - $170 = $45
$45 ÷ $5 = 9 small dogs
Multiplication and Division are operations that undo each other. They are called _________ ________.
Inverse Operations