Example 1-2b Objective Represent decimals in word form, standard form, and expanded form

Example 1-2b Vocabulary Standard Form The usual way to write a number

Example 1-2b Vocabulary Expanded form A sum of the products of each digit and its place value (3 · 100) + (4 · 10) + (2 · 1) + (1 · 0.1) + (7 · 0.01)

Example 1-2b Prefix Deci- A tenth part

Lesson 1 Contents Example 1Write a Decimal in Word Form Example 2Standard Form and Expanded Form 1/2

Example 1-1a Write in word form. First write the number in front of the decimal One hundred two 1/2 Write the problem

Example 1-1a Write in word form. Then write “and” for the decimal One hundred two 1/2 and

Example 1-1a Write in word form. Then write the number to the right of the decimal as if there is no decimal One hundred two and 1/2 fifty-six

Example 1-1a Write in word form. Then write the place value of the last non-zero digit One hundred two and fifty-six 1/2 thousandths

Example 1-1a Write in word form. Answer: one hundred two and fifty-six thousandths 1/2

Example 1-1b Write in word form. Answer: two hundred thirty and one hundred eight thousandths 1/2

Example 1-2a Write seventy-six and one hundred three thousandths in standard form and in expanded form. 76 2/2 Write the problem Seventy-six and one hundred three thousandths First, write the digits of the number before the “and” Replace the and with a decimal 76.

Example 1-2a Write seventy-six and one hundred three thousandths in standard form and in expanded form. 76 2/2 Seventy-six and one hundred three thousandths Write the number to the right of the “and” without the place value Make sure the last digit is in the place value of the thousandths (3 rd digit to the right of the decimal)

Example 1-2a Write seventy-six and one hundred three thousandths in standard form and in expanded form. 2/ Write the digit farthest to the left in parenthesis, then a multiplication sign (7   Determine the place value of the 7 The 7 is in the tens place value Put 10 in the expression then close the parenthesis (7  10)  Put an addition sign (7  10)  + 

Example 1-2a Write seventy-six and one hundred three thousandths in standard form and in expanded form. 2/ Write the next digit to the right in parenthesis, then a multiplication sign Determine the place value of the 6 The 6 is in the ones place value Put 1 in the expression then close the parenthesis Put an addition sign (7  10) +  (7  10)  +  (6  (7  10) +  (6  1) (7  10)  (6  1) +

Example 1-2a Write seventy-six and one hundred three thousandths in standard form and in expanded form. 2/ Write the next digit to the right in parenthesis, then a multiplication sign Determine the place value of the 1 The 1 is in the tenths place value Put 0.1 in the expression then close the parenthesis Put an addition sign (7  10)  +  (6  1) + (7  10)  +  (6  1) + (1  (7  10)  +  (6  1) + (1  0.1) (7  10)  +  (6  1) + (1  0.1) +

Example 1-2a Write seventy-six and one hundred three thousandths in standard form and in expanded form. 2/ Do not have to do anything with a zero YIPPPEEEE (7  10)  +  (6  1) + (1  0.1) +

Example 1-2a Write seventy-six and one hundred three thousandths in standard form and in expanded form. 2/ Write the next digit to the right in parenthesis, then a multiplication sign Determine the place value of the 3 The 3 is in the thousandths place value Put in the expression then close the parenthesis (7  10)  +  (6  1) + (1  0.1) + (7  10)  +  (6  1) + (1  0.1) + (3  (7  10)  +  (6  1) + (1  0.1) + (3  0.001)

Example 1-2a Write seventy-six and one hundred three thousandths in standard form and in expanded form. Answer: /2 (7  10)  +  (6  1) + (1  0.1) + (3  0.001)

Example 1-2b Write fifty-nine and sixty-two thousandths in standard form and in expanded form Answer: * 2/2 (5  10)  +  (9  1) + (6  0.01) + (2  0.001)