Podcast
Questions and Answers
What is the total distance Nora jogs on Tuesday if she jogs 4 1/2 miles on Monday and 1 1/2 miles fewer on Tuesday?
What is the total distance Nora jogs on Tuesday if she jogs 4 1/2 miles on Monday and 1 1/2 miles fewer on Tuesday?
- 5 miles
- 2 miles
- 3 miles
- 3 1/2 miles (correct)
How deep is the deep end of the swimming pool if the shallow end is 3.75 feet and it is 5.75 feet deeper?
How deep is the deep end of the swimming pool if the shallow end is 3.75 feet and it is 5.75 feet deeper?
- -8.5 feet
- -9.5 feet (correct)
- -10.5 feet
- -7.5 feet
If a T-shirt costs $24.25 and this week it costs $5.95 less, what is this week's cost?
If a T-shirt costs $24.25 and this week it costs $5.95 less, what is this week's cost?
- $20.30
- $22.30
- $18.30 (correct)
- $19.20
Evaluate the expression $4.7 + (-7.2 - (-3.4)$. What is the result?
Evaluate the expression $4.7 + (-7.2 - (-3.4)$. What is the result?
What is the sign of the product for the expression $-62 imes 83$?
What is the sign of the product for the expression $-62 imes 83$?
Calculate the product of $(-4)(7)(-2)$.
Calculate the product of $(-4)(7)(-2)$.
When Denise makes 21 quarts of ice cream and uses containers that hold 1 3/4 quarts, how many containers does she need?
When Denise makes 21 quarts of ice cream and uses containers that hold 1 3/4 quarts, how many containers does she need?
If the cost of the T-shirt drops from $24.25 to what calculation leads to $18.30?
If the cost of the T-shirt drops from $24.25 to what calculation leads to $18.30?
If a diver is at an elevation of -18 feet and descends another 16 feet, what is the diver's new position?
If a diver is at an elevation of -18 feet and descends another 16 feet, what is the diver's new position?
After depositing $200 and paying $250 in rent, then incurring a $50 overdraft fee and depositing a $400 paycheck, how much does Russell have in his account?
After depositing $200 and paying $250 in rent, then incurring a $50 overdraft fee and depositing a $400 paycheck, how much does Russell have in his account?
What is the result of evaluating the expression $6 - (-8)$?
What is the result of evaluating the expression $6 - (-8)$?
If the greatest temperature in the United States was recorded at -178 feet and in Africa at 545 feet above that, what is the elevation of the highest recorded temperature in Africa?
If the greatest temperature in the United States was recorded at -178 feet and in Africa at 545 feet above that, what is the elevation of the highest recorded temperature in Africa?
What is the sum of $ -18 + 12 $?
What is the sum of $ -18 + 12 $?
If you have $6/4 - 2/3$, which of the following is closest to the correct evaluation?
If you have $6/4 - 2/3$, which of the following is closest to the correct evaluation?
Flashcards
Subtracting integers
Subtracting integers
To subtract an integer, add its opposite.
Adding fractions with different denominators
Adding fractions with different denominators
Find a common denominator for the fractions and add the numerators. Express in simplest form. E.g: 1/3 + 1/6 = 2/6+1/6 = 3/6 = 1/2
Evaluating expressions with mixed numbers and decimals
Evaluating expressions with mixed numbers and decimals
Convert mixed numbers into fractions and decimals. Use correct order of operations to simplify.
Dividing fractions
Dividing fractions
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Multiplying integers
Multiplying integers
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Product of a sequence of integers
Product of a sequence of integers
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Expressing fractions as decimals
Expressing fractions as decimals
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Solving word problems involving division of fractions
Solving word problems involving division of fractions
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Adding negative numbers
Adding negative numbers
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Subtracting a negative number
Subtracting a negative number
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Adding positive and negative numbers
Adding positive and negative numbers
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Subtracting positive and negative numbers
Subtracting positive and negative numbers
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Elevation below sea level
Elevation below sea level
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Temperature difference
Temperature difference
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Combining positive and negative numbers
Combining positive and negative numbers
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Finding total costs
Finding total costs
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Study Notes
Arithmetic Operations
- Addition: Combine values. Use number lines to visualize.
- Subtraction: Find the difference between values. Use number lines to visualize.
- Multiplication: Repeated addition.
- Division: Repeated subtraction.
- Order of Operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (left to right), Addition and Subtraction (left to right).
Integer Operations
- Addition of Integers: Positive plus positive = positive; Positive plus negative = subtract and use the sign of the larger one
- Subtraction of Integers: Change subtraction to addition of the opposite.
- Multiplication/Division of Integers: Positive times/divided by positive = positive Positive times/divided by negative = negative Negative times/divided by positive = negative Negative times/divided by negative = positive
Real-World Applications
- Problem Solving: Apply operations to solve word problems involving money, measurements, time, etc.
- Number Lines: Visual aids to represent values and solve problems.
- Word Problems: Real-world scenarios requiring calculations.
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