Choose the best method for evaluating this expression.
63 + (12 + 28) =
Select the correct answer.
Question 1 options:
This is an illustration of a hand with a pen writing on a piece of paper the math problem six hundred thirteen plus two hundred ninety-eight.
This is an illustration of a small basic calculator icon.
This is an illustration of a bald man holding a sign that reads Mental Math.
This is an illustration of a bald man holding a sign that reads Mental Math.
Question 2 options:
Which property is illustrated in this problem?
(6 x 3) x 5 = 6 x (3 x 5)
Type the correct answer.
The correct answer is the Associative Property of Multiplication.
Question 3 options:
Which property is illustrated in this problem?
4 + (6 + 2) = (4 + 6) + 2
The correct answer is the Associative Property of Addition.
Question 4 options:
Solve this problem.
.125 ÷ 25
To solve the problem, we can divide 0.125 by 25:
0.125 ÷ 25 = 0.005
So, the solution to the problem is 0.005.
Question 5 options:
Solve this problem.
In 1991, American sprinter Carl Lewis set a world record of 9.86 seconds for the 100-meter dash. A honeybee can fly the same distance in 20.706 seconds. How many times faster than a honeybee is Carl Lewis?
Blank Space__________ times faster
To determine how many times faster Carl Lewis is than a honeybee, we can divide the honeybee's time by Carl Lewis' time:
20.706 seconds ÷ 9.86 seconds = 2.1
Therefore, Carl Lewis is approximately 2.1 times faster than a honeybee.
Solve this problem.
Grammy's Apple Orchard is selling apple cider in 34.7-ounce bottles for $2.09. Grammy's competitor is selling 24.6-ounce bottles of cider for $1.99. What is Grammy's price per ounce for cider?
To find Grammy's price per ounce for cider, we need to divide the total price by the total number of ounces:
Grammy's price per ounce = $2.09 ÷ 34.7 ounces = $0.06 per ounce
Therefore, Grammy's price per ounce for cider is $0.06.
Question 7 options:
Use the five-step thinking plan to help you solve this problem.
Jill has $8.75. Jack has three times as much as Jill, but he spent $5.00 to buy a book. How much money does Jack have?
$Blank Space __________
To use the five-step thinking plan to solve this problem:
Step 1: Understand the problem
- Jill has $8.75.
- Jack has three times as much as Jill.
- Jack spent $5.00 on a book.
- We need to find out how much money Jack has.
Step 2: Make a plan
- We'll first calculate three times Jill's amount.
- Then, we'll subtract the $5.00 that Jack spent.
Step 3: Solve the problem
- Jill's amount: $8.75
- Jack's amount (3 times Jill's amount): 3 * $8.75 = $26.25
- Jack's amount after buying the book: $26.25 - $5.00 = $21.25
Step 4: Check the solution
- The solution seems reasonable; Jack does have more money than Jill.
Step 5: Communicate the solution
- Jack has $21.25.
Therefore, Jack has $21.25.
Question 8 options:
Use the five-step thinking plan to help you solve this problem.
Karenna solved a difficult math problem in 7.9 minutes. Chase took 2.3 times longer to solve the same problem. How long did Chase take to solve the problem?
To use the five-step thinking plan to solve this problem:
Step 1: Understand the problem
- Karenna solved the math problem in 7.9 minutes.
- Chase took 2.3 times longer to solve the same problem.
- We need to find out how long Chase took to solve the problem.
Step 2: Make a plan
- We'll first calculate 2.3 times Karenna's time.
- Then, we'll adjust the units if necessary.
Step 3: Solve the problem
- Karenna's time: 7.9 minutes
- Chase's time (2.3 times Karenna's time): 2.3 * 7.9 = 18.17 minutes
Step 4: Check the solution
- The solution seems reasonable; Chase did take longer than Karenna to solve the problem.
Step 5: Communicate the solution
- Chase took 18.17 minutes to solve the problem.
Therefore, Chase took 18.17 minutes to solve the problem.
Use the five-step thinking plan to help you solve this problem.
Wallpaper for a bedroom costs $18 per roll for the walls and $11 per roll for the border. If the room requires 14 rolls of paper for the walls and 8 rolls for the border, find the total cost for the decorating job.
To use the five-step thinking plan to solve this problem:
Step 1: Understand the problem
- Wallpaper for the walls costs $18 per roll.
- Wallpaper for the border costs $11 per roll.
- The room requires 14 rolls of wallpaper for the walls and 8 rolls for the border.
- We need to find the total cost for the decorating job.
Step 2: Make a plan
- We'll calculate the cost of wallpaper for the walls and the cost of wallpaper for the border separately.
- Then, we'll add the two costs together to get the total cost.
Step 3: Solve the problem
- Cost of wallpaper for the walls: 14 rolls * $18 per roll = $252
- Cost of wallpaper for the border: 8 rolls * $11 per roll = $88
- Total cost: $252 + $88 = $340
Step 4: Check the solution
- The solution seems reasonable; the total cost should be the sum of the costs for the walls and the border.
Step 5: Communicate the solution
- The total cost for the decorating job is $340.
Therefore, the total cost for the decorating job is $340.
Which of these answers is the correct prime factorization for this number?
80
The correct prime factorization for the number 80 is:
2^4 * 5
Question 11 options:
Find the square of this number.
12 to the power of 2 end exponent star times text end text
The square of 12 can be found by multiplying 12 by itself:
12^2 = 12 * 12 = 144
Therefore, the square of 12 is 144.