{"id":189852,"date":"2025-02-10T14:57:23","date_gmt":"2025-02-10T14:57:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=189852"},"modified":"2025-02-10T14:57:25","modified_gmt":"2025-02-10T14:57:25","slug":"the-measurement-0-000-0043-m-expressed-correctly-using-scientific-notation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/10\/the-measurement-0-000-0043-m-expressed-correctly-using-scientific-notation\/","title":{"rendered":"The measurement 0.000 0043 m, expressed correctly using scientific notation"},"content":{"rendered":"\n<p>11) The measurement 0.000 0043 m, expressed correctly using scientific notation, is<\/p>\n\n\n\n<p>A) 4.3 x 10-7 m.<\/p>\n\n\n\n<p>B) 4.3 x 10-6 m.<\/p>\n\n\n\n<p>C) 4.3 x 106 m.<\/p>\n\n\n\n<p>D) 0.43 x 10-5 m.<\/p>\n\n\n\n<p>E) 4.3 m.<\/p>\n\n\n\n<p>12) The number 680 000 000 expressed correctly using scientific notation is<\/p>\n\n\n\n<p>A) 6.8.<\/p>\n\n\n\n<p>B) 0.68 x 106.<\/p>\n\n\n\n<p>C) 6.8 x 108.<\/p>\n\n\n\n<p>D) 68 x 107.<\/p>\n\n\n\n<p>E) 680 x 106.<\/p>\n\n\n\n<p>13) Which of the following numbers is the smallest?<\/p>\n\n\n\n<p>A) 4.0 x 10-6<\/p>\n\n\n\n<p>B) 4.0 x 10-8<\/p>\n\n\n\n<p>C) 4.0 x 10-2<\/p>\n\n\n\n<p>D) 4.0 x 1015<\/p>\n\n\n\n<p>E) 4.0 x 10-12<\/p>\n\n\n\n<p>14) Which of the following has the smallest mass?<\/p>\n\n\n\n<p>A) 4.0 x 10-6 g<\/p>\n\n\n\n<p>B) 4.0 x 109 ng<\/p>\n\n\n\n<p>C) 4.0 x 10-2 \u03bcg<\/p>\n\n\n\n<p>D) 4.0 x 10-3 kg<\/p>\n\n\n\n<p>E) 4.0 x 10-6 mm<\/p>\n\n\n\n<p>15) Which of the following numbers is the largest?<\/p>\n\n\n\n<p>A) 2.05 x 103<\/p>\n\n\n\n<p>B) 2.05 x 10-12<\/p>\n\n\n\n<p>C) 2.05 x 105<\/p>\n\n\n\n<p>D) 2.05 x 108<\/p>\n\n\n\n<p>E) 2.05<\/p>\n\n\n\n<p>16) Which of the following conversion factors is a measured number?<\/p>\n\n\n\n<p>A) 10 cm\/dm<\/p>\n\n\n\n<p>B) 12 in\/ft<\/p>\n\n\n\n<p>C) 16 oz\/lb<\/p>\n\n\n\n<p>D) 25 miles\/gallon<\/p>\n\n\n\n<p>E) 12 eggs\/dozen<\/p>\n\n\n\n<p>17) Significant figures are important because they indicate<\/p>\n\n\n\n<p>A) the accuracy of a measurement.<\/p>\n\n\n\n<p>B) the number of digits on a calculator.<\/p>\n\n\n\n<p>C) the number of measurements.<\/p>\n\n\n\n<p>D) the precision of a measurement.<\/p>\n\n\n\n<p>E) the accuracy of the conversion factor.<\/p>\n\n\n\n<p>18) Which of the following measurements has three significant figures?<\/p>\n\n\n\n<p>A) 0.005 m<\/p>\n\n\n\n<p>B) 510 m<\/p>\n\n\n\n<p>C) 0.510 m<\/p>\n\n\n\n<p>D) 0.051 m<\/p>\n\n\n\n<p>E) 5100 m<\/p>\n\n\n\n<p>19) Which of the following numbers contains the designated CORRECT number of significant figures?<\/p>\n\n\n\n<p>A) 0.043005 significant figures<\/p>\n\n\n\n<p>B) 0.003022 significant figures<\/p>\n\n\n\n<p>C) 156 0003 significant figures<\/p>\n\n\n\n<p>D) 1.042 significant figures<\/p>\n\n\n\n<p>E) 3.06504 significant figures<\/p>\n\n\n\n<p>20) The number of significant figures in the measurement of 45.030 mm is<\/p>\n\n\n\n<p>A) none.<\/p>\n\n\n\n<p>B) three.<\/p>\n\n\n\n<p>C) four.<\/p>\n\n\n\n<p>D) five.<\/p>\n\n\n\n<p>E) six.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s go through each question with the correct answers and explanations.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>11) The measurement 0.000 0043 m, expressed correctly using scientific notation is:<\/strong><\/p>\n\n\n\n<p><strong>Answer: B) 4.3 x 10\u207b\u2076 m<\/strong><\/p>\n\n\n\n<p>Explanation: In scientific notation, we express the number as a product of a number between 1 and 10 and a power of 10. To convert 0.0000043 to scientific notation, move the decimal point 6 places to the right, which gives us 4.3. Therefore, it becomes 4.3 x 10\u207b\u2076 m.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>12) The number 680 000 000 expressed correctly using scientific notation is:<\/strong><\/p>\n\n\n\n<p><strong>Answer: C) 6.8 x 10\u2078<\/strong><\/p>\n\n\n\n<p>Explanation: 680,000,000 can be written as 6.8 when we move the decimal point 8 places to the left, which makes it 6.8 x 10\u2078.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>13) Which of the following numbers is the smallest?<\/strong><\/p>\n\n\n\n<p><strong>Answer: B) 4.0 x 10\u207b\u2078<\/strong><\/p>\n\n\n\n<p>Explanation: The smaller the exponent of 10, the smaller the number. Here, 4.0 x 10\u207b\u2078 is the smallest number because the exponent is negative, which means the value is less than 1.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>14) Which of the following has the smallest mass?<\/strong><\/p>\n\n\n\n<p><strong>Answer: A) 4.0 x 10\u207b\u2076 g<\/strong><\/p>\n\n\n\n<p>Explanation: We compare the values of the numbers by converting them to a consistent unit or considering the size of the exponent. 4.0 x 10\u207b\u2076 g is the smallest mass compared to the other options.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>15) Which of the following numbers is the largest?<\/strong><\/p>\n\n\n\n<p><strong>Answer: D) 2.05 x 10\u2078<\/strong><\/p>\n\n\n\n<p>Explanation: The number with the largest exponent of 10 will be the largest number. In this case, 2.05 x 10\u2078 has the largest exponent.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>16) Which of the following conversion factors is a measured number?<\/strong><\/p>\n\n\n\n<p><strong>Answer: D) 25 miles\/gallon<\/strong><\/p>\n\n\n\n<p>Explanation: A conversion factor like &#8220;25 miles\/gallon&#8221; involves a real-world measurement of fuel efficiency, as opposed to exact numerical relationships like &#8220;10 cm\/dm&#8221; (which is defined exactly) or &#8220;12 eggs\/dozen.&#8221;<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>17) Significant figures are important because they indicate:<\/strong><\/p>\n\n\n\n<p><strong>Answer: A) the accuracy of a measurement.<\/strong><\/p>\n\n\n\n<p>Explanation: Significant figures reflect the precision of the measurement process and the accuracy of the measuring tool used.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>18) Which of the following measurements has three significant figures?<\/strong><\/p>\n\n\n\n<p><strong>Answer: B) 510 m<\/strong><\/p>\n\n\n\n<p>Explanation: The number 510 m has three significant figures because both the 5 and the 1 are significant, and the 0 is significant because it is between non-zero digits.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>19) Which of the following numbers contains the designated CORRECT number of significant figures?<\/strong><\/p>\n\n\n\n<p><strong>Answer: E) 3.06504 significant figures<\/strong><\/p>\n\n\n\n<p>Explanation: 3.06504 has six significant figures, as all digits are significant, including the zero between the 6 and 5.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>20) The number of significant figures in the measurement of 45.030 mm is:<\/strong><\/p>\n\n\n\n<p><strong>Answer: D) five.<\/strong><\/p>\n\n\n\n<p>Explanation: The number 45.030 has five significant figures because the leading 4 and 5 are significant, and the zeros after the decimal point are also significant.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>These answers reflect the key rules in scientific notation, significant figures, and conversions, which are essential in presenting accurate and precise data.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>11) The measurement 0.000 0043 m, expressed correctly using scientific notation, is A) 4.3 x 10-7 m. B) 4.3 x 10-6 m. C) 4.3 x 106 m. D) 0.43 x 10-5 m. E) 4.3 m. 12) The number 680 000 000 expressed correctly using scientific notation is A) 6.8. B) 0.68 x 106. C) 6.8 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-189852","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189852","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=189852"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189852\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=189852"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=189852"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=189852"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}