Illustrative Math Alignment: Grade 6 Unit 1

Topic

Numerical Expressions

Description

This example illustrates the division of two negative integers: (-9) ÷ (-6). The solution demonstrates that dividing two negative integers results in a positive fraction. The calculation is presented step-by-step: 

(-9) ÷ (-6) = -9 / -6 = -3 / -2 = 1 1/2.

Topic

Numerical Expressions

Description

This example illustrates the division of two negative integers: (-9) ÷ (-6). The solution demonstrates that dividing two negative integers results in a positive fraction. The calculation is presented step-by-step: 

(-9) ÷ (-6) = -9 / -6 = -3 / -2 = 1 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three positive integers: 20 ÷ 2 ÷ 4. The solution shows that dividing three positive integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

20 ÷ 2 ÷ 4 = 20 / 2 / 4 = 10 / 4 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three positive integers: 20 ÷ 2 ÷ 4. The solution shows that dividing three positive integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

20 ÷ 2 ÷ 4 = 20 / 2 / 4 = 10 / 4 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three positive integers: 20 ÷ 2 ÷ 4. The solution shows that dividing three positive integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

20 ÷ 2 ÷ 4 = 20 / 2 / 4 = 10 / 4 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three positive integers: 20 ÷ 2 ÷ 4. The solution shows that dividing three positive integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

20 ÷ 2 ÷ 4 = 20 / 2 / 4 = 10 / 4 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three positive integers: 20 ÷ 2 ÷ 4. The solution shows that dividing three positive integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

20 ÷ 2 ÷ 4 = 20 / 2 / 4 = 10 / 4 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three positive integers: 20 ÷ 2 ÷ 4. The solution shows that dividing three positive integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

20 ÷ 2 ÷ 4 = 20 / 2 / 4 = 10 / 4 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three positive integers: 20 ÷ 2 ÷ 4. The solution shows that dividing three positive integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

20 ÷ 2 ÷ 4 = 20 / 2 / 4 = 10 / 4 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three positive integers: 20 ÷ 2 ÷ 4. The solution shows that dividing three positive integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

20 ÷ 2 ÷ 4 = 20 / 2 / 4 = 10 / 4 = 2 1/2.

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: 48 ÷ 6 ÷ (-3). The solution demonstrates that dividing two positive integers and one negative integer results in a negative mixed number quotient. The calculation is presented step-by-step: 

48 ÷ 6 ÷ (-3) = 48 / 6 / (-3) = 8 / (-3) = -2 2/3.

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: 48 ÷ 6 ÷ (-3). The solution demonstrates that dividing two positive integers and one negative integer results in a negative mixed number quotient. The calculation is presented step-by-step: 

48 ÷ 6 ÷ (-3) = 48 / 6 / (-3) = 8 / (-3) = -2 2/3.

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: 48 ÷ 6 ÷ (-3). The solution demonstrates that dividing two positive integers and one negative integer results in a negative mixed number quotient. The calculation is presented step-by-step: 

48 ÷ 6 ÷ (-3) = 48 / 6 / (-3) = 8 / (-3) = -2 2/3.

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: 48 ÷ 6 ÷ (-3). The solution demonstrates that dividing two positive integers and one negative integer results in a negative mixed number quotient. The calculation is presented step-by-step: 

48 ÷ 6 ÷ (-3) = 48 / 6 / (-3) = 8 / (-3) = -2 2/3.

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: 48 ÷ 6 ÷ (-3). The solution demonstrates that dividing two positive integers and one negative integer results in a negative mixed number quotient. The calculation is presented step-by-step: 

48 ÷ 6 ÷ (-3) = 48 / 6 / (-3) = 8 / (-3) = -2 2/3.

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: 48 ÷ 6 ÷ (-3). The solution demonstrates that dividing two positive integers and one negative integer results in a negative mixed number quotient. The calculation is presented step-by-step: 

48 ÷ 6 ÷ (-3) = 48 / 6 / (-3) = 8 / (-3) = -2 2/3.

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: 48 ÷ 6 ÷ (-3). The solution demonstrates that dividing two positive integers and one negative integer results in a negative mixed number quotient. The calculation is presented step-by-step: 

48 ÷ 6 ÷ (-3) = 48 / 6 / (-3) = 8 / (-3) = -2 2/3.

Topic

Numerical Expressions

Description

This example illustrates the division of three integers: 48 ÷ 6 ÷ (-3). The solution demonstrates that dividing two positive integers and one negative integer results in a negative mixed number quotient. The calculation is presented step-by-step: 

48 ÷ 6 ÷ (-3) = 48 / 6 / (-3) = 8 / (-3) = -2 2/3.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 24 ÷ (-6) ÷ 2. The solution shows that dividing two positive integers and one negative integer results in a negative quotient. The calculation is presented step-by-step: 

24 ÷ (-6) ÷ 2 = 24 / (-6) / (2) = -4 / 2 = -2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 24 ÷ (-6) ÷ 2. The solution shows that dividing two positive integers and one negative integer results in a negative quotient. The calculation is presented step-by-step: 

24 ÷ (-6) ÷ 2 = 24 / (-6) / (2) = -4 / 2 = -2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 24 ÷ (-6) ÷ 2. The solution shows that dividing two positive integers and one negative integer results in a negative quotient. The calculation is presented step-by-step: 

24 ÷ (-6) ÷ 2 = 24 / (-6) / (2) = -4 / 2 = -2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 24 ÷ (-6) ÷ 2. The solution shows that dividing two positive integers and one negative integer results in a negative quotient. The calculation is presented step-by-step: 

24 ÷ (-6) ÷ 2 = 24 / (-6) / (2) = -4 / 2 = -2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 24 ÷ (-6) ÷ 2. The solution shows that dividing two positive integers and one negative integer results in a negative quotient. The calculation is presented step-by-step: 

24 ÷ (-6) ÷ 2 = 24 / (-6) / (2) = -4 / 2 = -2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 24 ÷ (-6) ÷ 2. The solution shows that dividing two positive integers and one negative integer results in a negative quotient. The calculation is presented step-by-step: 

24 ÷ (-6) ÷ 2 = 24 / (-6) / (2) = -4 / 2 = -2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 24 ÷ (-6) ÷ 2. The solution shows that dividing two positive integers and one negative integer results in a negative quotient. The calculation is presented step-by-step: 

24 ÷ (-6) ÷ 2 = 24 / (-6) / (2) = -4 / 2 = -2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 24 ÷ (-6) ÷ 2. The solution shows that dividing two positive integers and one negative integer results in a negative quotient. The calculation is presented step-by-step: 

24 ÷ (-6) ÷ 2 = 24 / (-6) / (2) = -4 / 2 = -2.

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 divided by -7. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing a positive integer by a negative integer, the quotient is negative. The calculation is presented as 14 ÷ (-7) = 14 / -7 = -2.

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 divided by -7. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing a positive integer by a negative integer, the quotient is negative. The calculation is presented as 14 ÷ (-7) = 14 / -7 = -2.

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 divided by -7. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing a positive integer by a negative integer, the quotient is negative. The calculation is presented as 14 ÷ (-7) = 14 / -7 = -2.

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 divided by -7. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing a positive integer by a negative integer, the quotient is negative. The calculation is presented as 14 ÷ (-7) = 14 / -7 = -2.

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 divided by -7. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing a positive integer by a negative integer, the quotient is negative. The calculation is presented as 14 ÷ (-7) = 14 / -7 = -2.

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 divided by -7. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing a positive integer by a negative integer, the quotient is negative. The calculation is presented as 14 ÷ (-7) = 14 / -7 = -2.

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 divided by -7. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing a positive integer by a negative integer, the quotient is negative. The calculation is presented as 14 ÷ (-7) = 14 / -7 = -2.

Topic

Numerical Expressions

Description

This example illustrates the division of a positive integer by a negative integer: 14 divided by -7. The solution demonstrates that when dividing one integer by another, the result is a rational number. In this case, when dividing a positive integer by a negative integer, the quotient is negative. The calculation is presented as 14 ÷ (-7) = 14 / -7 = -2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-72) / 2 / 5. The solution shows that dividing a negative integer by two positive integers results in a negative mixed number quotient. The calculation is presented step-by-step: 

(-72) / 2 / 5 = -72 / (2 * 5) = -36 / 5 = -7 1/5.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-72) / 2 / 5. The solution shows that dividing a negative integer by two positive integers results in a negative mixed number quotient. The calculation is presented step-by-step: 

(-72) / 2 / 5 = -72 / (2 * 5) = -36 / 5 = -7 1/5.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-72) / 2 / 5. The solution shows that dividing a negative integer by two positive integers results in a negative mixed number quotient. The calculation is presented step-by-step: 

(-72) / 2 / 5 = -72 / (2 * 5) = -36 / 5 = -7 1/5.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-72) / 2 / 5. The solution shows that dividing a negative integer by two positive integers results in a negative mixed number quotient. The calculation is presented step-by-step: 

(-72) / 2 / 5 = -72 / (2 * 5) = -36 / 5 = -7 1/5.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-72) / 2 / 5. The solution shows that dividing a negative integer by two positive integers results in a negative mixed number quotient. The calculation is presented step-by-step: 

(-72) / 2 / 5 = -72 / (2 * 5) = -36 / 5 = -7 1/5.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-72) / 2 / 5. The solution shows that dividing a negative integer by two positive integers results in a negative mixed number quotient. The calculation is presented step-by-step: 

(-72) / 2 / 5 = -72 / (2 * 5) = -36 / 5 = -7 1/5.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-72) / 2 / 5. The solution shows that dividing a negative integer by two positive integers results in a negative mixed number quotient. The calculation is presented step-by-step: 

(-72) / 2 / 5 = -72 / (2 * 5) = -36 / 5 = -7 1/5.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: (-72) / 2 / 5. The solution shows that dividing a negative integer by two positive integers results in a negative mixed number quotient. The calculation is presented step-by-step: 

(-72) / 2 / 5 = -72 / (2 * 5) = -36 / 5 = -7 1/5.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 125 / (-25) / (-2). The solution shows that dividing a positive integer by two negative integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

125 / (-25) / (-2) = 125 / (25 * -2) = -5 / -2 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 125 / (-25) / (-2). The solution shows that dividing a positive integer by two negative integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

125 / (-25) / (-2) = 125 / (25 * -2) = -5 / -2 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 125 / (-25) / (-2). The solution shows that dividing a positive integer by two negative integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

125 / (-25) / (-2) = 125 / (25 * -2) = -5 / -2 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 125 / (-25) / (-2). The solution shows that dividing a positive integer by two negative integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

125 / (-25) / (-2) = 125 / (25 * -2) = -5 / -2 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 125 / (-25) / (-2). The solution shows that dividing a positive integer by two negative integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

125 / (-25) / (-2) = 125 / (25 * -2) = -5 / -2 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 125 / (-25) / (-2). The solution shows that dividing a positive integer by two negative integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

125 / (-25) / (-2) = 125 / (25 * -2) = -5 / -2 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 125 / (-25) / (-2). The solution shows that dividing a positive integer by two negative integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

125 / (-25) / (-2) = 125 / (25 * -2) = -5 / -2 = 2 1/2.

Topic

Numerical Expressions

Description

This example demonstrates the division of three integers: 125 / (-25) / (-2). The solution shows that dividing a positive integer by two negative integers results in a positive mixed number quotient. The calculation is presented step-by-step: 

125 / (-25) / (-2) = 125 / (25 * -2) = -5 / -2 = 2 1/2.