Solved on Jan 19, 2024

Evaluate the following expressions: $-10(-8.874)$ and $0.2 \cdot (-3.2)$ .

STEP 1

Assumptions
1. We are performing basic arithmetic operations: multiplication.
2. The multiplication of two negative numbers results in a positive number.
3. The multiplication of a positive number and a negative number results in a negative number.

STEP 2

First, we will solve the multiplication of two negative numbers.
$-10 \times (-8.874)$

STEP 3

Recall the rule that the product of two negative numbers is positive.

STEP 4

Multiply the absolute values of the numbers.
$10 \times 8.874$

STEP 5

Calculate the product.
$10 \times 8.874 = 88.74$

STEP 6

Since both numbers were negative, the result is positive.
$-10 \times (-8.874) = 88.74$

STEP 7

Next, we will solve the multiplication of a positive number and a negative number.
$0.2 \times (-3.2)$

STEP 8

Recall the rule that the product of a positive number and a negative number is negative.

STEP 9

Multiply the absolute values of the numbers.
$0.2 \times 3.2$

STEP 10

Calculate the product.
$0.2 \times 3.2 = 0.64$

STEP 11

Since we are multiplying a positive number by a negative number, the result is negative.
$0.2 \times (-3.2) = -0.64$
The solutions are $88.74$ and $-0.64$ .

Was this helpful?

Evaluate the following expressions: $-10(-8.874)$ and $0.2 \cdot (-3.2)$ .

STEP 1

Assumptions
1. We are performing basic arithmetic operations: multiplication.
2. The multiplication of two negative numbers results in a positive number.
3. The multiplication of a positive number and a negative number results in a negative number.

STEP 2

First, we will solve the multiplication of two negative numbers.
$-10 \times (-8.874)$

STEP 3

Recall the rule that the product of two negative numbers is positive.

STEP 4

Multiply the absolute values of the numbers.
$10 \times 8.874$

STEP 5

Calculate the product.
$10 \times 8.874 = 88.74$

STEP 6

Since both numbers were negative, the result is positive.
$-10 \times (-8.874) = 88.74$

STEP 7

Next, we will solve the multiplication of a positive number and a negative number.
$0.2 \times (-3.2)$

STEP 8

Recall the rule that the product of a positive number and a negative number is negative.

STEP 9

Multiply the absolute values of the numbers.
$0.2 \times 3.2$

STEP 10

Calculate the product.
$0.2 \times 3.2 = 0.64$

STEP 11

Since we are multiplying a positive number by a negative number, the result is negative.
$0.2 \times (-3.2) = -0.64$
The solutions are $88.74$ and $-0.64$ .

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Evaluate the following expressions: −10(−8.874)-10(-8.874)−10(−8.874) and 0.2⋅(−3.2)0.2 \cdot (-3.2)0.2⋅(−3.2).

STEP 1

Assumptions1. We are performing basic arithmetic operations: multiplication.2. The multiplication of two negative numbers results in a positive number.3. The multiplication of a positive number and a negative number results in a negative number.

STEP 2

First, we will solve the multiplication of two negative numbers.−10×(−8.874) -10 \times (-8.874) −10×(−8.874)

STEP 3

Recall the rule that the product of two negative numbers is positive.

STEP 4

Multiply the absolute values of the numbers.10×8.874 10 \times 8.874 10×8.874

STEP 5

Calculate the product.10×8.874=88.74 10 \times 8.874 = 88.74 10×8.874=88.74

STEP 6

Since both numbers were negative, the result is positive.−10×(−8.874)=88.74 -10 \times (-8.874) = 88.74 −10×(−8.874)=88.74

STEP 7

Next, we will solve the multiplication of a positive number and a negative number.0.2×(−3.2) 0.2 \times (-3.2) 0.2×(−3.2)

STEP 8

Recall the rule that the product of a positive number and a negative number is negative.

STEP 9

Multiply the absolute values of the numbers.0.2×3.2 0.2 \times 3.2 0.2×3.2

STEP 10

Calculate the product.0.2×3.2=0.64 0.2 \times 3.2 = 0.64 0.2×3.2=0.64

STEP 11

Since we are multiplying a positive number by a negative number, the result is negative.0.2×(−3.2)=−0.64 0.2 \times (-3.2) = -0.64 0.2×(−3.2)=−0.64The solutions are 88.7488.7488.74 and −0.64-0.64−0.64.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Evaluate the following expressions: $-10(-8.874)$ and $0.2 \cdot (-3.2)$ .

Assumptions
1. We are performing basic arithmetic operations: multiplication.
2. The multiplication of two negative numbers results in a positive number.
3. The multiplication of a positive number and a negative number results in a negative number.

First, we will solve the multiplication of two negative numbers.
$-10 \times (-8.874)$

Multiply the absolute values of the numbers.
$10 \times 8.874$

Calculate the product.
$10 \times 8.874 = 88.74$

Since both numbers were negative, the result is positive.
$-10 \times (-8.874) = 88.74$

Next, we will solve the multiplication of a positive number and a negative number.
$0.2 \times (-3.2)$

Multiply the absolute values of the numbers.
$0.2 \times 3.2$

Calculate the product.
$0.2 \times 3.2 = 0.64$

Since we are multiplying a positive number by a negative number, the result is negative.
$0.2 \times (-3.2) = -0.64$
The solutions are $88.74$ and $-0.64$ .