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Fractions

Exponents

About the Math Ánimo Problem Generator

The Math Ánimo Problem Generator was developed by Wonhee Jung at mathwithjoy.com for his students at Oscar De La Hoya Ánimo Charter High School in Boyle Heights.

Factors and Multiples

1. List the first 5 multiples of . (CSS: 6.NS.4 - Multiples of a Number)

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2. Find the least common multiple (LCM) of and . (CSS: 6.NS.4 - Least Common Multiple)

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3. List the factors of . (CSS: 6.NS.4 - Factors of a Number)

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4. Find the greatest common factor (GCF) of and . (CSS: 6.NS.4 - Greatest Common Factor)

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5. List the first 5 multiples of . (CSS: 6.NS.4 - Multiples of a Number)

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6. Find the least common multiple (LCM) of and . (CSS: 6.NS.4 - Least Common Multiple)

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7. List the factors of . (CSS: 6.NS.4 - Factors of a Number)

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8. Find the greatest common factor (GCF) of and . (CSS: 6.NS.4 - Greatest Common Factor)

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Simplifying Fractions

1. Simplify (or reduce to lowest terms) the fraction .

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2. Simplify (or reduce to lowest terms) the fraction .

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3. Simplify (or reduce to lowest terms) the fraction .

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4. Simplify (or reduce to lowest terms) the fraction .

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5. Simplify (or reduce to lowest terms) the fraction .

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6. Simplify (or reduce to lowest terms) the fraction .

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Improper Fractions and Mixed Fractions

1. Write the mixed number as an improper fraction. Show your work.

is equal .




2. Write the mixed number as an improper fraction. Show your work.

is equal .




3. Write the mixed number as an improper fraction. Show your work.

is equal .




4. Write the mixed number as an improper fraction. Show your work.

is equal .




5. Write the mixed number as an improper fraction. Show your work.

is equal .




6. Write the mixed number as an improper fraction. Show your work.

is equal .




7. Write the mixed number as an improper fraction. Show your work.

is equal .




8. Write the mixed number as an improper fraction. Show your work.

is equal .




9. Write the mixed number as an improper fraction. Show your work.

is equal .




10. Write the mixed number as an improper fraction. Show your work.

is equal .




11. Write the improper fraction as a mixed number. Show your work.

is equal .




12. Write the improper fraction as a mixed number. Show your work.

is equal .




13. Write the improper fraction as a mixed number. Show your work.

is equal .




14. Write the improper fraction as a mixed number. Show your work.

is equal .




15. Write the improper fraction as a mixed number. Show your work.

is equal .




16. Write the improper fraction as a mixed number. Show your work.

is equal .




17. Write the improper fraction as a mixed number. Show your work.

is equal .




18. Write the improper fraction as a mixed number. Show your work.

is equal .




19. Write the improper fraction as a mixed number. Show your work.

is equal .




20. Write the improper fraction as a mixed number. Show your work.

is equal .







Add and Subtract Fractions

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Properties of Integer Exponents

1. Write in expanded form. (CCS: 8.EE.1 - Powers with Integer Bases)



2. Write in expanded form. (CCS: 8.EE.1 - Powers with Integer Bases)



3. Write in expanded form. (CCS: 8.EE.1 - Powers with Integer Bases)



4. Write in expanded form with only positive exponents. (CCS: 8.EE.1 - Powers with Integer Exponents)



5. Write in expanded form with only positive exponents. (CCS: 8.EE.1 - Powers with Integer Exponents)



6. Write in expanded form with only positive exponents. (CCS: 8.EE.1 - Powers with Integer Exponents)



7. Evaluate and . (CCS: 8.EE.1 - Powers with Integer Exponents)



8. Simplify using the properties of exponents. Your answer should contain only positive exponents. (CCS: 8.EE.1 - Product of a Power)



9. Simplify using the properties of exponents. Your answer should contain only positive exponents. (CCS: 8.EE.1 - Product of a Power)



10. Simplify using the properties of exponents. Your answer should contain only positive exponents. (CCS: 8.EE.1 - Quotient of a Power)



11. Simplify using the properties of exponents. Your answer should contain only positive exponents. (CCS: 8.EE.1 - Quotient of a Power)



12. Simplify using the properties of exponents. Your answer should contain only positive exponents. (CCS: 8.EE.1 - Power of a Power)



13. Simplify using the properties of exponents. Your answer should contain only positive exponents. (CCS: 8.EE.1 - Power of a Product)




Square Roots and Cube Roots

1. Find the principal square root of . (CCS: 8.EE.2 - Principal Square and Cube Roots)



2. Find the principal cube root of . (CCS: 8.EE.2 - Principal Square and Cube Roots)



3. Solve . (CCS: 8.EE.2 - Solve Equations Using Square Roots)



4. Solve . (CCS: 8.EE.2 - Solve Equations Using Cube Roots)



5. Solve . (CCS: 8.EE.2 - Solve Equations Using Cube Roots)



6. The area of a square is . What is the side length? (CCS: 8.EE.2 - Solve Equations Using Square Roots)



7. The volume of a cube is . What is the edge length? (CCS: 8.EE.2 - Solve Equations Using Cube Roots)




Rational and Irrational Numbers

1. List and describe each of the number systems listed below.

Natural numbers:

The natural numbers are the counting numbers, but not including 0: 1, 2, 3, 4, 5, ....

Whole numbers:

The whole numbers are the counting numbers, including 0: 0, 1, 2, 3, 4, 5, ....

Integers:

Integers are the counting numbers, their opposites, and 0: ...-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ....

2. Circle the rational numbers: , , , , , ,

The rational numbers are

3. Order from least to greatest: , , ,




4. Write the integer as a quotient of integers. Show your work.

is a rational number becuase it can be written as a quotient of integers:

5. Write the decimal as a quotient of integers. Show your work.

is a rational number becuase it can be written as a quotient of integers:

6. Write the repeating decimal as a quotient of integers. Show your work.

The repeating decimal is a rational number becuase it can be written as a quotient of integers:

7. Write the radical as a quotient of integers. Show your work.

is a rational number becuase it can be written as a quotient of integers:

8. Place a point on the number line below that represents the approximate value of the radical . Explain your answer.

is approximately .

9. Between what two decimals is the value of the radical ? Explain your answer.

, , , ,




Scientific Notation

1. Write in scientific notation.



2. Write in scientific notation.



3. Write in scientific notation.



4. Write in scientific notation.



5. Write in standard form.



6. Write in standard form.



7. Write in standard form.



8. Write in standard form.



9. Which number is greater? ______ because ______ .


10. Which number is greater? ______ because ______ .


11. Which number is greater? ______ because ______ .


12. Which number is greater? ______ because ______ .


13. How many times greater is than ?





Operations and Scientific Notation

1. Find the sum:







2. Find the sum:







3. Find the sum:







4. Find the product:







5. Find the product:







6. Find the quotient:







7. Find the quotient: