QuestionTwo factors multiply to 34.44. One is a whole number. How many decimal places does the other factor have? Explain.

Studdy Solution

STEP 1

Assumptions1. The product of two factors is34.44. One factor is a whole number3. We are looking for the least number of decimal places in the other factor

STEP 2

Let's denote the whole number as $x$ and the other factor as $y$ . We know that the product of these two factors is34.44. So we can write this as an equation $x \cdot y =34.44$

STEP 3

Since $x$ is a whole number, the least number of decimal places in $y$ would be achieved when $x$ is the largest possible whole number that can divide34.44.

STEP 4

We can find this by dividing34.44 by all whole numbers starting from1 until we find a number that divides34.44 exactly.

STEP 5

We start with1. $34.44 /1 =34.44$ This gives us a number with two decimal places.

STEP 6

We continue with2.
$34.44 /2 =17.22$ This still gives us a number with two decimal places.

STEP 7

We continue with3,4,5,6,7,,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34.
None of these numbers divide34.44 exactly.

STEP 8

Finally, we try34.
$34.44 /34 =1.013$ This gives us a number with three decimal places.

STEP 9

Therefore, the least number of decimal places in the other factor is3 when the whole number factor is34.

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QuestionTwo factors multiply to 34.44. One is a whole number. How many decimal places does the other factor have? Explain.

Studdy Solution

STEP 1

Assumptions1. The product of two factors is34.44. One factor is a whole number3. We are looking for the least number of decimal places in the other factor

STEP 2

Let's denote the whole number as $x$ and the other factor as $y$ . We know that the product of these two factors is34.44. So we can write this as an equation $x \cdot y =34.44$

STEP 3

Since $x$ is a whole number, the least number of decimal places in $y$ would be achieved when $x$ is the largest possible whole number that can divide34.44.

STEP 4

We can find this by dividing34.44 by all whole numbers starting from1 until we find a number that divides34.44 exactly.

STEP 5

We start with1. $34.44 /1 =34.44$ This gives us a number with two decimal places.

STEP 6

We continue with2.
$34.44 /2 =17.22$ This still gives us a number with two decimal places.

STEP 7

We continue with3,4,5,6,7,,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34.
None of these numbers divide34.44 exactly.

STEP 8

Finally, we try34.
$34.44 /34 =1.013$ This gives us a number with three decimal places.

STEP 9

Therefore, the least number of decimal places in the other factor is3 when the whole number factor is34.

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QuestionTwo factors multiply to 34.44. One is a whole number. How many decimal places does the other factor have? Explain.

Studdy Solution

STEP 1

Assumptions1. The product of two factors is34.44. One factor is a whole number3. We are looking for the least number of decimal places in the other factor

STEP 2

Let's denote the whole number as xxx and the other factor as yyy. We know that the product of these two factors is34.44. So we can write this as an equationx⋅y=34.44x \cdot y =34.44x⋅y=34.44

STEP 3

Since xxx is a whole number, the least number of decimal places in yyy would be achieved when xxx is the largest possible whole number that can divide34.44.

STEP 4

We can find this by dividing34.44 by all whole numbers starting from1 until we find a number that divides34.44 exactly.

STEP 5

We start with1.34.44/1=34.4434.44 /1 =34.4434.44/1=34.44This gives us a number with two decimal places.

STEP 6

We continue with2.34.44/2=17.2234.44 /2 =17.2234.44/2=17.22This still gives us a number with two decimal places.

STEP 7

We continue with3,4,5,6,7,,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34.None of these numbers divide34.44 exactly.

STEP 8

Finally, we try34.34.44/34=1.01334.44 /34 =1.01334.44/34=1.013This gives us a number with three decimal places.

STEP 9

Therefore, the least number of decimal places in the other factor is3 when the whole number factor is34.

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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.

Let's denote the whole number as $x$ and the other factor as $y$ . We know that the product of these two factors is34.44. So we can write this as an equation $x \cdot y =34.44$

Since $x$ is a whole number, the least number of decimal places in $y$ would be achieved when $x$ is the largest possible whole number that can divide34.44.

We start with1. $34.44 /1 =34.44$ This gives us a number with two decimal places.

We continue with2.
$34.44 /2 =17.22$ This still gives us a number with two decimal places.

We continue with3,4,5,6,7,,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34.
None of these numbers divide34.44 exactly.

Finally, we try34.
$34.44 /34 =1.013$ This gives us a number with three decimal places.