\u2705 Correct Answer:<\/h3>\n\n\n\n
Any rational number<\/strong> will produce a rational number when multiplied by 0.25<\/strong>. The question asks which number, when multiplied by 0.25<\/strong>, will give a rational number<\/strong>. So, the question is basically asking: Let\u2019s pick 0.25<\/strong> and multiply it by a rational number like 4<\/strong>: 0.25\u00d74=10.25 \\times 4 = 1<\/p>\n\n\n\n And 1<\/strong> is a rational number because it\u2019s the integer 11\\frac{1}{1}. 0.125<\/strong> is a terminating decimal \u2014 that means it\u2019s rational.<\/p>\n\n\n\n This shows us that any rational number<\/strong> multiplied by 0.25<\/strong> will still give a rational result.<\/p>\n\n\n\n But what if we multiply 0.25 with an irrational<\/strong> number, like \u03c0\\pi? 0.25\u00d7\u03c0\u22480.785398… (non-terminating, non-repeating)0.25 \\times \\pi \\approx 0.785398…\\text{ (non-terminating, non-repeating)}<\/p>\n\n\n\n That result is irrational<\/strong>, so it wouldn\u2019t work.<\/p>\n\n\n\n The number 4<\/strong> produces a rational number when multiplied by 0.25<\/strong>, because: 0.25\u00d74=10.25 \\times 4 = 1<\/p>\n\n\n\n The result, 1<\/strong>, is a rational number. \u2705 Final Answer: 4<\/strong> (or any rational number)<\/p>\n\n\n\n Which number produces a rational number when multiplied by 0.25 The Correct Answer and Explanation is: \u2705 Correct Answer: Any rational number will produce a rational number when multiplied by 0.25.So, one correct example is: 4 \ud83d\udcd8 Explanation (300 words using the RDW strategy: Read, Draw, Write) R \u2013 Read the Problem: The question asks 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So, one correct example is: 4<\/strong><\/p>\n\n\n\n
\n\n\n\n\ud83d\udcd8 Explanation (300 words using the RDW strategy: Read, Draw, Write<\/strong>)<\/h3>\n\n\n\n
R \u2013 Read the Problem:<\/strong><\/h4>\n\n\n\n
A rational number<\/strong> is any number that can be written as a fraction<\/strong> of two integers, like 34\\frac{3}{4}, 22, or \u22125.5-5.5. It includes integers<\/strong>, fractions<\/strong>, and decimals<\/strong> that either terminate<\/strong> (like 0.5) or repeat<\/strong> (like 0.333…).<\/p>\n\n\n\n
What number can we multiply with 0.25 to still get a rational number?<\/strong><\/p>\n\n\n\n
\n\n\n\nD \u2013 Draw\/Do a Strategy:<\/strong><\/h4>\n\n\n\n
Also, try with a fraction: 0.25\u00d712=0.1250.25 \\times \\frac{1}{2} = 0.125<\/p>\n\n\n\n
\n\n\n\nW \u2013 Write an Explanation:<\/strong><\/h4>\n\n\n\n
In fact, 0.25 is already rational<\/strong> (since 0.25=140.25 = \\frac{1}{4}), and multiplying two rational numbers always gives a rational result.
So, any rational number<\/strong>, such as 4, 1\/2, -3, or 0<\/strong>, will work.<\/p>\n\n\n\n![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-369.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"