What is a product in math terms?
The product is the answer to a multiplication problem, ie., the product of 2 x 3 = 6
What is the quotient of a problem in math terms?
The quotient of a problem is the answer to a division problem, ie., the quotient of 10 divided by 2 = 5.
What is the sum of a problem in math terms?
The sum is the answer to an addition problem.
How do you generally find the difference?
Generally speaking, you find the difference by subtracting, ie., the difference between 3 feet and 4 feet is found by subtracting 3 from 4 and you get the difference, 1 foot.
Rounding and using compatible numbers are most helpful in checking the logic of answers or solving problems.
Checking the logic of answers.
If Mr. Sawyer's granddaughter Bella is 10 years old and Mr. Sawyer is 6.5 times older than her. How old is Mr. Sawyer?
65, because 10 x 6.5 = 65
If Mr. Sawyer's youngest daughter is less than half his age, and Mr. Sawyer is 65. Which operation would you use to find out his daughter's age?
A. 65 x 2 = Tess B. 65 - 2 = Tessa
C. 65 + 2 = Tessa D. 65 / 2 = Tessa
D. 65/2 = Tessa, because dividing by 2 is the same as dividing it into 2 equal parts.
If Mr. Sawyer's older brother is 4 years older than Mr. Sawyer and Mr. Sawyer just turned 65 on his last birthday, then how old will Mr. Sawyer's older brother be when Mr. Sawyer turns 68?
72, because 68 + 4 = 72
If Mr. Sawyer's brother is younger by a difference of 5 years, and Mr. Sawyer is 65. How old is Mr. Sawyer brother Doug?
65 - 5 = 60
It costs Kevin $27 to buy wood for one dollhouse. If 13 dollhouses have been ordered, how much will Kevin have to spend on wood?
A $250 B $278
C $351 D $390
C. $351, because $27 x 13 = $351
Mrs. Kenyan bought 10 boxes of donuts for her employees. Each box contained 15 donuts. Which expression can be used to find the number of donuts in one box?
A 15 x 10 B 10 + 15
C 15 – 10 D 15 ÷ 10
A. 15 x 10, because 10 boxes of donuts with 15 donuts in each box = 10 x 15 = 15 x 10=150
At Duncan’s Bagel Company, an assortment of bagels comes in a box of eight. If Wren bought a total of 112 bagels, how many boxes did she purchase?
A 18, because 112 ÷ 8 = 18 B 104, because 112 – 8 = 104 C 14, because 112 ÷ 8 = 14 D 896, because 112 × 4 = 896
C. 14, because 112 / 8 = 14 x 8 = 112
Mrs. Ramirez needed art supplies for her class. She bought green paint for $3.49, blue paint for $2.99, and a canvas for $6.00. How much did Mrs. Ramirez spend on art supplies?
A $11.78 B $12.08 C $12.29 D $12.48
D. $12.48, because $3.49 + $2.99 = $6.48 + $6 = $12.48
Jeong needs 2.5 cups of milk to make banana pudding. He poured 1.8 cups into his banana mixture. How many more cups does he need to use in his recipe?
2.5 - 1.8 = 0.7 cups
Lori is taking her four children to the aquarium. Children’s tickets cost $28 each. Which is the best estimate of the cost of four children’s tickets to the aquarium?
A $90 B $120 C $140 D $150
$120, because you would round 28 to 30 and multiply by 4.
There are 24 bottles of soda in each case. Mr. Liam purchased 100 cases of soda for an office party. How many bottles of soda did Mr. Liam purchase in all?
2400, because 24 x 100 = 2400
In a field, there are 1,704 sunflowers. An equal number of sunflowers are in each of the six rows. Which of the following shows the number of sunflowers in each row?
A 197 B 236
C 284 D 324
C. 284, because 1,704 / 6 = 284 x 6 = 1704
At 12:00 p.m., the temperature was 84°. By 1:00 p.m., the temperature had risen by 3.8°, and by 2:00 p.m. the temperature had risen by another 1.7°. Which of the following shows the temperature at 2:00 p.m.? On Monday, there were 3,500 calls to 9-1-1. The police department was sent for 2,673 of the calls. The fire department was sent for the rest of the calls. How many times was the fire department sent out on Monday?
A 86.5° B 89.5° C 92.3° D 94.5°
B. 89.5', because 84' + 3.8' = 87.8' + 1.7' = 89.8'
Members at The Oaks Church gave $1,845 last Sunday. This Sunday they gave $2,318. What is the difference in the amount the church members gave this Sunday and last Sunday?
A. $473 B. $397
C. $518 D. $534
A. $2,318 - $1,845 = $473
There are 26 rows of seats in an airplane with 4 seats in each row. On Flight 185, seventy-two people have bought plane tickets. Which equation shows one way to find s, the number of seats that are still available?
A s = 72 – 26 + 4 B s = (26 – 4) + 72
C s = 72 – (26 + 4) D s = (26 × 4) - 72
D. s=(26 x 4) - 72, because 26x4 = the total seats -72 is the number of tickets sold, 26x4 - 72 = seats lefts unsold and still available.
There are six sections of seats at a basketball arena. Each section has 1,250 seats. How many total seats are in the basketball arena?
7,500, because 1,250 x 6 = 7,500
Priscilla spent $84 on a 6-month subscription to In Style Homes magazine. How much money did Priscilla spend each month on her magazine subscription?
A $24 B $18 C $12 D $14
D. $14, because $84/6 = 14 x 6 = $84
The students at Hawthorne High School are collecting school supplies for kids in need. They have collected 186 pairs of scissors, 392 boxes of pencils, 251 boxes of crayons, and 76 erasers. How many school supplies has Hawthorne High collected?
A 765 school supplies B 829 school supplies C 905 school supplies D 973 school supplies
C. 905, because 186 + 392 = 578 + 251 = 829
829 + 76 = 905
On Monday, there were 3,500 calls to 9-1-1. The police department was sent for 2,673 of the calls. The fire department was sent for the rest of the calls. How many times was the fire department sent out on Monday?
827, because 3,500 911 calls - 2,673 Police calls = 827 fire department calls.
Last week, Bree got 58 hours of sleep. On six of the days, she got 8 hours of sleep. Which equation can be used to find s, the amount of sleep Bree got on the seventh day?
A s = (58 + 8) ÷ 6 B s = (58 – 8) + 7
C s = 58 – (8 × 6) D s = 58 + (8 × 6)
C s = 58 - (8x6), because 58 is total sleep, - 8x6 which is the sleep she got on six days, =10