Welcome to the article Use the fact that tex 15 cdot 313 4695 tex Enter the exact product of tex 1 5 cdot 31 3 tex in the response. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
To find the product of [tex]\(1.5 \cdot 31.3\)[/tex], we can use the known information that [tex]\(15 \cdot 313 = 4695\)[/tex]. Let's break down the steps to find the solution:
1. Break Down the Numbers:
[tex]\[
1.5 = \frac{15}{10} \quad \text{and} \quad 31.3 = \frac{313}{10}
\][/tex]
This suggests that [tex]\(1.5\)[/tex] is [tex]\(\frac{1}{10}\)[/tex] of [tex]\(15\)[/tex], and [tex]\(31.3\)[/tex] is [tex]\(\frac{1}{10}\)[/tex] of [tex]\(313\)[/tex].
2. Relate to the Known Product:
[tex]\[
1.5 \cdot 31.3 = \left(\frac{15}{10}\right) \cdot \left(\frac{313}{10}\right)
\][/tex]
3. Consider using the Original Product:
We know that:
[tex]\[
15 \cdot 313 = 4695
\][/tex]
Therefore:
[tex]\[
\left(\frac{15}{10}\right) \cdot \left(\frac{313}{10}\right) = \frac{15 \cdot 313}{100}
\][/tex]
4. Calculate the Desired Product:
Since:
[tex]\[
15 \cdot 313 = 4695
\][/tex]
We can divide this result by [tex]\(100\)[/tex] to account for the factors of [tex]\(10\)[/tex] in the denominators:
[tex]\[
\frac{4695}{100} = 46.95
\][/tex]
So, the exact product of [tex]\(1.5 \cdot 31.3\)[/tex] is [tex]\(\boxed{46.95}\)[/tex].
1. Break Down the Numbers:
[tex]\[
1.5 = \frac{15}{10} \quad \text{and} \quad 31.3 = \frac{313}{10}
\][/tex]
This suggests that [tex]\(1.5\)[/tex] is [tex]\(\frac{1}{10}\)[/tex] of [tex]\(15\)[/tex], and [tex]\(31.3\)[/tex] is [tex]\(\frac{1}{10}\)[/tex] of [tex]\(313\)[/tex].
2. Relate to the Known Product:
[tex]\[
1.5 \cdot 31.3 = \left(\frac{15}{10}\right) \cdot \left(\frac{313}{10}\right)
\][/tex]
3. Consider using the Original Product:
We know that:
[tex]\[
15 \cdot 313 = 4695
\][/tex]
Therefore:
[tex]\[
\left(\frac{15}{10}\right) \cdot \left(\frac{313}{10}\right) = \frac{15 \cdot 313}{100}
\][/tex]
4. Calculate the Desired Product:
Since:
[tex]\[
15 \cdot 313 = 4695
\][/tex]
We can divide this result by [tex]\(100\)[/tex] to account for the factors of [tex]\(10\)[/tex] in the denominators:
[tex]\[
\frac{4695}{100} = 46.95
\][/tex]
So, the exact product of [tex]\(1.5 \cdot 31.3\)[/tex] is [tex]\(\boxed{46.95}\)[/tex].
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Rewritten by : Brahmana