QuestionThe result of dividing an integer by a decimal is not always an integer. Show examples like $3 \div 1.5$ and $1.8 \div 0.3$ .

Studdy Solution

STEP 1

Assumptions1. We are given four mathematical operations involving division of an integer by a decimal number. . We need to verify the statement "The quotient of an integer and a decimal number is never an integer."

STEP 2

First, we need to understand the statement. It says that if we divide an integer by a decimal, we will never get an integer. But we can see from the given examples that this is not always true.

STEP 3

Let's examine the first example $3 \div1.5 =2$ Here, we are dividing an integer (3) by a decimal (1.5) and the result is an integer (2). This contradicts the statement.

STEP 4

Let's examine the second example $1.8 \div0.3 =6$ Here, we are dividing a decimal (1.8) by a decimal (0.3) and the result is an integer (6). This doesn't apply to the statement since we are not dividing an integer by a decimal.

STEP 5

Let's examine the third example $3 \div1.2 =2.5$ Here, we are dividing an integer (3) by a decimal (1.2) and the result is a decimal (2.5). This agrees with the statement.

STEP 6

Let's examine the fourth example $6 \div1.5 =4$ Here, we are dividing an integer (6) by a decimal (1.5) and the result is an integer (4). This contradicts the statement.

STEP 7

From the given examples, we can see that the statement "The quotient of an integer and a decimal number is never an integer" is not always true. There are cases where an integer divided by a decimal can result in an integer.

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QuestionThe result of dividing an integer by a decimal is not always an integer. Show examples like $3 \div 1.5$ and $1.8 \div 0.3$ .

Studdy Solution

STEP 1

Assumptions1. We are given four mathematical operations involving division of an integer by a decimal number. . We need to verify the statement "The quotient of an integer and a decimal number is never an integer."

STEP 2

First, we need to understand the statement. It says that if we divide an integer by a decimal, we will never get an integer. But we can see from the given examples that this is not always true.

STEP 3

Let's examine the first example $3 \div1.5 =2$ Here, we are dividing an integer (3) by a decimal (1.5) and the result is an integer (2). This contradicts the statement.

STEP 4

Let's examine the second example $1.8 \div0.3 =6$ Here, we are dividing a decimal (1.8) by a decimal (0.3) and the result is an integer (6). This doesn't apply to the statement since we are not dividing an integer by a decimal.

STEP 5

Let's examine the third example $3 \div1.2 =2.5$ Here, we are dividing an integer (3) by a decimal (1.2) and the result is a decimal (2.5). This agrees with the statement.

STEP 6

Let's examine the fourth example $6 \div1.5 =4$ Here, we are dividing an integer (6) by a decimal (1.5) and the result is an integer (4). This contradicts the statement.

STEP 7

From the given examples, we can see that the statement "The quotient of an integer and a decimal number is never an integer" is not always true. There are cases where an integer divided by a decimal can result in an integer.

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QuestionThe result of dividing an integer by a decimal is not always an integer. Show examples like 3÷1.53 \div 1.53÷1.5 and 1.8÷0.31.8 \div 0.31.8÷0.3.

Studdy Solution

STEP 1

Assumptions1. We are given four mathematical operations involving division of an integer by a decimal number. . We need to verify the statement "The quotient of an integer and a decimal number is never an integer."

STEP 2

First, we need to understand the statement. It says that if we divide an integer by a decimal, we will never get an integer. But we can see from the given examples that this is not always true.

STEP 3

Let's examine the first example3÷1.5=23 \div1.5 =23÷1.5=2Here, we are dividing an integer (3) by a decimal (1.5) and the result is an integer (2). This contradicts the statement.

STEP 4

Let's examine the second example1.8÷0.3=61.8 \div0.3 =61.8÷0.3=6Here, we are dividing a decimal (1.8) by a decimal (0.3) and the result is an integer (6). This doesn't apply to the statement since we are not dividing an integer by a decimal.

STEP 5

Let's examine the third example3÷1.2=2.53 \div1.2 =2.53÷1.2=2.5Here, we are dividing an integer (3) by a decimal (1.2) and the result is a decimal (2.5). This agrees with the statement.

STEP 6

Let's examine the fourth example6÷1.5=46 \div1.5 =46÷1.5=4Here, we are dividing an integer (6) by a decimal (1.5) and the result is an integer (4). This contradicts the statement.

STEP 7

From the given examples, we can see that the statement "The quotient of an integer and a decimal number is never an integer" is not always true. There are cases where an integer divided by a decimal can result in an integer.

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Studdy solves anything!

Start learning now

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

QuestionThe result of dividing an integer by a decimal is not always an integer. Show examples like $3 \div 1.5$ and $1.8 \div 0.3$ .

Let's examine the first example $3 \div1.5 =2$ Here, we are dividing an integer (3) by a decimal (1.5) and the result is an integer (2). This contradicts the statement.

Let's examine the second example $1.8 \div0.3 =6$ Here, we are dividing a decimal (1.8) by a decimal (0.3) and the result is an integer (6). This doesn't apply to the statement since we are not dividing an integer by a decimal.

Let's examine the third example $3 \div1.2 =2.5$ Here, we are dividing an integer (3) by a decimal (1.2) and the result is a decimal (2.5). This agrees with the statement.

Let's examine the fourth example $6 \div1.5 =4$ Here, we are dividing an integer (6) by a decimal (1.5) and the result is an integer (4). This contradicts the statement.