Decimal Notation and Comparison Quiz

(3 imes 100) + (4 imes 10) + (7 imes 1) + (3 imes (1/10)) + (9 imes (1/100)) + (2 imes (1/1000))

>, =, and <

Standard form, word form, and expanded notation

<p>Standard form represents decimals using the digits and the decimal point, for example 347.392. Word form is the written form of the decimal, for example three hundred forty-seven and three hundred ninety-two thousandths. Expanded notation represents the decimal as the sum of each digit multiplied by its place value, for example (3 imes 100) + (4 imes 10) + (7 imes 1) + (3 imes (1/10)) + (9 imes (1/100)) + (2 imes (1/1000)).</p> Signup and view all the answers

<p>The meanings of the digits in each place can be used to compare decimals by examining the value of each digit in relation to the decimal point. For example, in 347.392, the 3 is in the hundreds place, the 4 is in the tens place, and the 7 is in the ones place. By comparing the digits in the same place in two decimals, we can determine which is greater, less, or equal using the symbols &gt;, =, and &lt;.</p> Signup and view all the answers

<p>The symbol &gt; means 'greater than', indicating that the first decimal is larger than the second. The symbol = means 'equal to', indicating that the two decimals are equal in value. The symbol &lt; means 'less than', indicating that the first decimal is smaller than the second.</p> Signup and view all the answers

<p>Standard form is the numerical form using decimals, word form is the written form using words, and expanded notation is the form that shows the value of each digit in the number, such as the example (3 x 100) + (4 x 10) + (7 x 1) + (3 x (1/10)) + (9 x (1/100)) + (2 x (1/1000)).</p> Signup and view all the answers

<p>When comparing two decimals to thousandths, the digits in each place represent different values. By comparing the digits in corresponding places from left to right, we can determine the relationship using the symbols &gt;, =, and &lt;.</p> Signup and view all the answers

<p>The meanings of the digits in each place indicate their respective values. By comparing the digits in corresponding places from left to right, we can determine which decimal is greater, equal to, or less than the other.</p> Signup and view all the answers

<p>When comparing two decimals to thousandths, each digit's place value is crucial. Start from the leftmost digit and compare the digits in each place value, moving to the right if necessary. For example, when comparing 3.271 and 3.279, in the thousandths place, 1 &lt; 9, so 3.271 &lt; 3.279.</p> Signup and view all the answers

<p>Decimal: 347.392 Standard Form: 347.392 Word Form: Three hundred forty-seven and three hundred ninety-two thousandths Expanded Notation: (3 imes 100) + (4 imes 10) + (7 imes 1) + (3 imes (1/10)) + (9 imes (1/100)) + (2 imes (1/1000))</p> Signup and view all the answers

<p>5.621 = 5.621</p> Signup and view all the answers