Multiplication Mania
A school orders 23 boxes with 14 notebooks in each box. How many notebooks are ordered?
322 notebooks
A baker places 288 muffins equally into 12 trays. How many muffins go on each tray?
24 muffins
Write a numerical expression for 7 groups of 4, plus 5 more.
7 × 4 + 5
Use the distributive property to rewrite:
6 × (8 + 2)
(6 × 8) + (6 × 2)
Find the mean of 6, 8, and 10.
8
The cafeteria buys 36 cases with 18 juice boxes in each case. How many juice boxes are purchased?
648 juice boxes
A teacher packs 396 pencils equally into 18 bins. How many pencils go in each bin?
22 pencils
There are 168 tickets. After 72 tickets are sold, the remaining tickets are shared equally among 6 students. Write an expression that represents how many tickets each student receives.
(168 − 72) ÷ 6
An array has 7 rows. Each row contains 4 green tiles and 3 yellow tiles. Write two equivalent expressions that represent the total number of tiles.
7 × (4 + 3)
(7 × 4) + (7 × 3)
Find the mean of 7, 9, 11, and 13.
10
A student says:
240 × 13 = 240 × 10 + 3 = 2,403
Explain the student’s mistake and give the correct product.
The student needed to multiply 240 by both 10 and 3. The correct product is 3,120.
A $3,456 classroom project will be paid for with equal monthly payments over 2 years. What is each monthly payment?
$144 per month
Write an expression for 8 times the sum of 6 and 3.
8 × (6 + 3)
Three students wrote expressions:
Which two students wrote equivalent expressions?
Lena and Omar
The mean of 8, 10, 12, 14, and one unknown number is 12. What is the unknown number?
16
Football equipment can be rented for $28 per month for 12 months, plus a one-time $36 fee. The equipment can also be purchased for $399. Which option costs less, and by how much?
Renting costs $372, so renting costs $27 less.
A $3,456 classroom project will be paid for with equal monthly payments over 3 years. What is each monthly payment?
$96 per month
Explain the difference between these expressions and find the value of each:
9 × (5 + 2)
9 × 5 + 2
9 × (5 + 2) = 63
9 × 5 + 2 = 47
Select all the expressions that are equal to 72.
The first three expressions
Find the mean of 6, 8, 9, 12, and 10. Explain how you found your answe
9
The sum is 45, and 45 ÷ 5 = 9.
A fundraiser would earn the same amount from selling 275 tickets for $14 each or by offering a deal of 2 tickets for $22. How many tickets must be sold using the deal?
350 tickets
Use partial quotients to solve:
4,266 ÷ 18
237
A school buys 15 boxes with 24 pencils in each box. The school uses 48 pencils and shares the remaining pencils equally among 6 classrooms. Write and evaluate one expression to find how many pencils each classroom receives.
(15 × 24 − 48) ÷ 6 = 52
Each classroom receives 52 pencils.
A student claims:
5 × (12 − 4) = 5 × 12 − 4
Explain the student’s mistake and give the correct value.
The 5 must be multiplied by both 12 and 4.
5 × (12 − 4) = (5 × 12) − (5 × 4) = 60 − 20 = 40
The numbers 10, 12, 14, and 16 have a mean of 13. One number is added, and the new mean becomes 14. What number was added?
18