Math / Algebra

Question32. Without multiplying, determine how much greater $4,395 \times 6$ is than 4,395 $\times 5$ . Explain.

Studdy Solution

STEP 1

1. We are comparing the products of two multiplication expressions involving the same number, 4,395.
2. We need to determine the difference between $4,395 \times 6$ and $4,395 \times 5$ without directly multiplying the numbers.

STEP 2

1. Understand the relationship between the two expressions.
2. Use algebraic manipulation to find the difference.
3. Calculate the difference.

STEP 3

Recognize that both expressions involve the same base number, 4,395, but are multiplied by different factors, 6 and 5.

STEP 4

Express the difference between the two products algebraically:
$4,395 \times 6 - 4,395 \times 5$
Factor out the common term, 4,395, from the expression:
$4,395 \times (6 - 5)$

STEP 5

Calculate the difference inside the parentheses:
$6 - 5 = 1$
Thus, the expression simplifies to:
$4,395 \times 1 = 4,395$
The difference between $4,395 \times 6$ and $4,395 \times 5$ is:
$\boxed{4,395}$

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Question32. Without multiplying, determine how much greater $4,395 \times 6$ is than 4,395 $\times 5$ . Explain.

Studdy Solution

STEP 1

1. We are comparing the products of two multiplication expressions involving the same number, 4,395.
2. We need to determine the difference between $4,395 \times 6$ and $4,395 \times 5$ without directly multiplying the numbers.

STEP 2

1. Understand the relationship between the two expressions.
2. Use algebraic manipulation to find the difference.
3. Calculate the difference.

STEP 3

Recognize that both expressions involve the same base number, 4,395, but are multiplied by different factors, 6 and 5.

STEP 4

Express the difference between the two products algebraically:
$4,395 \times 6 - 4,395 \times 5$
Factor out the common term, 4,395, from the expression:
$4,395 \times (6 - 5)$

STEP 5

Calculate the difference inside the parentheses:
$6 - 5 = 1$
Thus, the expression simplifies to:
$4,395 \times 1 = 4,395$
The difference between $4,395 \times 6$ and $4,395 \times 5$ is:
$\boxed{4,395}$

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Question32. Without multiplying, determine how much greater 4,395×64,395 \times 64,395×6 is than 4,395 ×5\times 5×5. Explain.

Studdy Solution

STEP 1

1. We are comparing the products of two multiplication expressions involving the same number, 4,395.2. We need to determine the difference between 4,395×6 4,395 \times 6 4,395×6 and 4,395×5 4,395 \times 5 4,395×5 without directly multiplying the numbers.

STEP 2

1. Understand the relationship between the two expressions.2. Use algebraic manipulation to find the difference.3. Calculate the difference.

STEP 3

Recognize that both expressions involve the same base number, 4,395, but are multiplied by different factors, 6 and 5.

STEP 4

Express the difference between the two products algebraically:4,395×6−4,395×5 4,395 \times 6 - 4,395 \times 5 4,395×6−4,395×5Factor out the common term, 4,395, from the expression:4,395×(6−5) 4,395 \times (6 - 5) 4,395×(6−5)

STEP 5

Calculate the difference inside the parentheses:6−5=1 6 - 5 = 1 6−5=1Thus, the expression simplifies to:4,395×1=4,395 4,395 \times 1 = 4,395 4,395×1=4,395 The difference between 4,395×6 4,395 \times 6 4,395×6 and 4,395×5 4,395 \times 5 4,395×5 is:4,395 \boxed{4,395} 4,395​

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

Question32. Without multiplying, determine how much greater $4,395 \times 6$ is than 4,395 $\times 5$ . Explain.

1. We are comparing the products of two multiplication expressions involving the same number, 4,395.
2. We need to determine the difference between $4,395 \times 6$ and $4,395 \times 5$ without directly multiplying the numbers.

1. Understand the relationship between the two expressions.
2. Use algebraic manipulation to find the difference.
3. Calculate the difference.

Express the difference between the two products algebraically:
$4,395 \times 6 - 4,395 \times 5$
Factor out the common term, 4,395, from the expression:
$4,395 \times (6 - 5)$

Calculate the difference inside the parentheses:
$6 - 5 = 1$
Thus, the expression simplifies to:
$4,395 \times 1 = 4,395$
The difference between $4,395 \times 6$ and $4,395 \times 5$ is:
$\boxed{4,395}$