3.3 & 3.4 Multiplying and Dividing rational numbers

7th Grade Math

Unit 3, Lesson 3

Multiplying

Rational Numbers

Volume 1, pg. 96

Benchmark

volume 1, pg. 96

MA.7.NSO.2.2

Add, subtract, multiply, and divide rational
numbers with procedural fluency.

Learning Target

❑ I can fluently multiply rational numbers.

volume 1, pg. 96

Warm-Up

volume 1, pg. 97

3.3.1 Warm-Up: Bell Work

volume 1, pg. 97

Collaboration

volume 1, pg. 97

3.3.2 Collaboration: Signed Number Rules

volume 1, pg. 97

1.

Fill in the blank with the words positive or negative to describe the rules for
multiplying integers.

•

The product of two positive integers is a ____________ integer.

•

The product of two negative integers is a ___________ integer.

•

The product of a negative integer and a positive integer is a ____________
integer.

Multiple Choice

The product of two positive(+) inters is a _________ Integer.

The product of two negative(-) integers is a ________ Integer

• Positive, Positive

• Positive, Negative

• Negative, Positive

• Negative, Negative

Multiple Choice

The product of a negative(-) integer and a positive(+) is a ________ Integer

• Positive

• Negative

volume 1, pg. 98

3.

Complete the table. Use a calculator to find the product of each expression to
verify if the same rules for signs apply when multiplying rational numbers.

Multiple Choice

$$\left(-\frac{3}{5}\right)\left(-\frac{3}{11}\right)=$$

• $$\frac{9}{55}$$

• $$-\frac{9}{55}$$

• $$\frac{3}{11}$$

• $$-\frac{3}{11}$$

Multiple Choice

$$\frac{7}{18}\left(-4\frac{8}{25}\right)=$$

• 5.224

• $$-1\frac{17}{25}$$

• $$1\frac{17}{25}$$

• -5.225

Multiple Choice

21.285 (-3.8) =

• 70.82

• 35.32

• -80.883

• -78.223

Multiple Choice

(-91.09)(-6.4) =

• -100.234

• -582.976

• +582.976

• +583.235

volume 1, pg. 98

4.

Complete the sentence.

The rules for multiplying rational numbers are

the integer rules for multiplication.

o the same as
o different from

Multiple Choice

790 ( $$\frac{1}{10}$$ ) =

• 7.9

• 79

• 790

• 0.79

Multiple Choice

2.1 (-2) =

• 0.42

• 4.2

• -4.2

• -6042

Multiple Choice

2.5 (-3.25) =

• -57.24

• -8.125

• -6.74

• -62.3

Multiple Choice

(- $$\frac{6}{7}$$ ) 7 =

• 0.6

• 6

• -6

• -60

7th Grade Math

Unit 3, Lesson 4

Dividing Rational

Numbers

Volume 1, pg. 100

Benchmark

volume 1, pg. 100

MA.7.NSO.2.2

Add, subtract, multiply, and divide rational
numbers with procedural fluency.

Learning Target

❑ I can fluently divide rational numbers.

volume 1, pg. 100

Collaboration

volume 1, pg. 102

3.4.3 Collaboration: Signed Number Rules

volume 1, pg. 102

1.

Fill in the blanks with the words positive or negative to write the rules for
dividing integers.

•

The quotient of two positive integers is a ________ integer.

•

The quotient of two negative integers is a ________ integer.

•

The quotient of a negative integer divided by a positive integer is a
________ integer.

•

The quotient of a positive integer divided by a negative integer is a
________ integer.

Multiple Choice

The Quotient of two positive(+) inters is a _________ Integer.

The Quotient of two negative(-) integers is a ________ Integer

• Positive, Positive

• Positive, Negative

• Negative, Positive

• Negative, Negative

Multiple Choice

The Quotient of a positive(+) inter by a negative (-) integer is a ________ Integer

• Positive

• Negative

volume 1, pg. 102

3.

Complete the table. Use a calculator to find the quotient of each expression to
verify if the same rules for signs apply when dividing rational numbers.

Multiple Choice

$$\left(-2\frac{3}{8}\right)\div\left(-1\frac{1}{4}\right)$$

• $$2\frac{2}{5}$$

• $$-1\frac{9}{10}$$

• $$1\frac{9}{10}$$

• $$2\frac{5}{7}$$

Multiple Choice

$$\left(6\frac{7}{18}\right)\div\left(-4\frac{2}{9}\right)$$

• $$2\frac{32}{54}$$

• $$-1\frac{39}{76}$$

• $$1\frac{39}{76}$$

• $$2\frac{35}{47}$$

Multiple Choice

$$43.008\div-4.096$$

• $$-15.2$$

• $$-10.5$$

• $$-5.45$$

• $$5.86$$

Multiple Choice

$$\left(-525.6\right)\div\left(-0.36\right)$$

• $$-15.2$$

• $$580$$

• $$1460$$

• $$-1460$$

volume 1, pg. 102

4.

Complete the sentence.

The rules for dividing rational numbers are

the integer rules for division.

o the same as
o different from

Guided Practice

volume 1, pg. 103

3.4.4 Guided Practice: Finding Quotients
of Rational Numbers

volume 1, pg. 103

1.

Circle the expressions that will result in a positive quotient.

volume 1, pg. 103

Your Turn

volume 1, pg. 103