Step: 1

- 49 × 9 × - 13

[Original expression.]

Step: 2

= - 441 × - 13

[The product of two integers with opposite signs is negative.]

Step: 3

= 5733

[The product of two integers with same sign is positive.]

Correct Answer is : 5733

Step: 1

= 1 45 × 5 6

[Original expression.]

Step: 2

= 1 9 × 1 6

[Cancel 45 with 5.]

Step: 3

= 1×1 9×6 = 1 54

[Multiply numerators and denominators separately.]

Step: 4

The apple juice requires 1 54 cup of juice concentrate.

Correct Answer is : 1 54 cup

Step: 1

= 9 8 × 10 7

[Original expression.]

Step: 2

= 9 × 1 0 8 × 7

[Multiply the numerators and denominators.]

Step: 3

= 90 56

[Simplify.]

Step: 4

= 45 28

[Divide numerator and denominator by their GCF 2.]

Step: 5

= 1 17 28

[Write as a mixed fraction.]

Correct Answer is : 1 17 28

Step: 1

[Original expression.]

Step: 2

= 11 9 × 4 5

[Convert mixed number into improper fraction.]

Step: 3

= 1 1 × 4 9 × 5

[Multiply the numerators and the denominators.]

Step: 4

= 44 45

Step: 5

The product of 1 2 9 and 4 5 is 44 45 .

Correct Answer is : 44 45

Step: 1

[Original expression.]

Step: 2

= 4 9 × 19 1

[Write 19 as 19 1 .]

Step: 3

= 4 × 1 9 9 × 1

[Multiply the numerators and the denominators.]

Step: 4

= 76 9

Step: 5

= 8 4 9

[Convert improper fraction into mixed number.]

Step: 6

The product of 4 9 and 19 is 8 4 9 .

Correct Answer is : 8 4 9

Step: 1

28 × 3 3 7

[Original expression.]

Step: 2

= 28 1 × 24 7

[Write the mixed number as the improper fraction and 28 as 28 1 .]

Step: 3

= 2 8 × 2 4 1 × 7

[Multiply the numerators and the denominators.]

Step: 4

= 672 7

[Simplify.]

Step: 5

= 96 1 = 96

[Write 96 1 as 96.]

Correct Answer is : 96

Step: 1

[Original expression.]

Step: 2

= 1 1 × 1 7

[Divide by the GCF 4.]

Step: 3

= 1×1 1×7

[Multiply the numerators and the denominators.]

Step: 4

= 1 7

Step: 5

Valerie ate 1 7 of the pizza.

Correct Answer is : 1 7

Step: 1

[Original expression.]

Step: 2

= 2 7 × 77 2

[Write the mixed number as an improper fraction.]

Step: 3

= 1 1 × 11 1

[Cancel 2 with 2 and 77 with 7.]

Step: 4

= 1 × 1 1 1 × 1

[Multiply the numerators and the denominators.]

Step: 5

= 11 1 = 11

[Write 11 1 as 11.]

Step: 6

Tim used 11 in. of the rope.

Correct Answer is : 11 in.

Step: 1

The weight of Edward's bag of popcorns = (1 4 × 1 3 ) oz.

Step: 2

= 1×1 4×3 oz.

[Multiply numerators and denominators.]

Step: 3

= 1 12 oz.

[Simplify.]

Step: 4

Edward's bag contains popcorns weighing 1 12 oz.

Correct Answer is : 1 12 oz.

Step: 1

The area of the rectangular wall = length × width

Step: 2

= 7 1 5 × 5 5 6

Step: 3

= 36 5 × 35 6

[Write each mixed number as an improper fraction.]

Step: 4

= 6 1 × 7 1

[Cancel 36 with 6 and 35 with 5.]

Step: 5

= 6 × 7 1 × 1

[Multiply numerators and denominators.]

Step: 6

= 42 1 = 42

[Write 42 1 as 42.]

Step: 7

The area of the wall Ed has to paint is 42 ft^{2}.

Correct Answer is : 42 ft^{2}

Step: 1

Distance traveled by the truck in 5 hours = (Distance traveled in 1 hour) × 5

Step: 2

= 50 × 5

[Substitute the values.]

Step: 3

As multiplication is nothing but repeated addition, add 50 to itself 5 times.

Step: 4

50 × 5 = 250

[Multiply.]

Step: 5

The truck travels 250 mi in 5 hours.

Correct Answer is : 250 mi

Step: 1

- 5 × 3(- 5)

[Original expression.]

Step: 2

- 5 × 3(- 5) = - 5 × - 15

[The product of a negative integer and a positive integer is negative.]

Step: 3

= 75

[Multiply. The product of two negative integers is positive.]

Step: 4

The product of - 5 × 3(- 5) is 75.

Correct Answer is : 75

Step: 1

- 7 × - 4(- 3)

[Original expression.]

Step: 2

- 7 × - 4(- 3) = - 7 × 12

[The product of two negative integers is positive.]

Step: 3

= - 84

[Multiply. The product of a negative integer and a positive integer is negative.]

Step: 4

The product of - 7 × - 4(- 3) is - 84.

Correct Answer is : - 84

- Finding the Distance between Rational Numbers on a Number Line-Gr 7-Solved Examples
- Dividing Integers-Gr 7-Solved Examples
- Adding Rational Numbers-Gr 7-Solved Examples
- Subtracting Rational Numbers-Gr 7-Solved Examples
- Dividing Rational Numbers-Gr 7-Solved Examples
- Application of Rational Numbers involving 4 Operations-Gr 7-Solved Examples
- Additive Inverses on Rational Numbers-Gr 7-Solved Examples
- Repeating and Terminating Decimals-Gr 7-Solved Examples

- Rational Numbers