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
342.17
Example 1-2b
Vocabulary
Expanded form
A sum of the products of each digit and its placevalue
(3 · 100) + (4 · 10) + (2 · 1) + (1 · 0.1) + (7 · 0.01)
Example 1-2b
Prefix
Deci-
A tenth part
Example 1-1a
Write 102.056 in word form.
First write the number in front of the decimal
One hundred two
1/2
Write the problem
102.056
Example 1-1a
Write 102.056 in word form.
Then write “and” for the decimal
One hundred two
1/2
and
Example 1-1a
Write 102.056 in word form.
Then write the number to the right of the decimalas if there is no decimal
One hundred two and
1/2
fifty-six
Example 1-1a
Write 102.056 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 102.056 in word form.
Answer: one hundred two and fifty-six thousandths
1/2
Example 1-1b
Write 230.108 in word form.
Answer: two hundred thirty and one hundred eightthousandths
1/2
Example 1-2a
Write seventy-six and one hundred threethousandths 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 thenumber before the “and”
Replace the and with adecimal
76.
Example 1-2a
Write seventy-six and one hundred threethousandths in standard form and in expanded form.
76
2/2
Seventy-six and one hundred three thousandths
Write the number to theright of the “and” withoutthe place value
76.
76.103
Make sure the last digit isin the place value of thethousandths (3rd digit to theright of the decimal)
Example 1-2a
Write seventy-six and one hundred three thousandths instandard form and in expanded form.
2/2
76.103
Write the digit farthest to the left inparenthesis, 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 closethe parenthesis
(7 10)
Put an addition sign
(7 10) +
Example 1-2a
Write seventy-six and one hundred three thousandths instandard form and in expanded form.
2/2
76.103
Write the next digit to the right inparenthesis, 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 closethe 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 instandard form and in expanded form.
2/2
76.103
Write the next digit to the right inparenthesis, 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 closethe 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 instandard form and in expanded form.
2/2
76.103
Do not have to do anything with azero YIPPPEEEE
(7 10) +(6 1) + (1 0.1) +
Example 1-2a
Write seventy-six and one hundred three thousandths instandard form and in expanded form.
2/2
76.103
Write the next digit to the right inparenthesis, then a multiplication sign
Determine the place value of the 3
The 3 is in the thousandths place value
Put 0.001 in the expression thenclose 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 threethousandths in standard form and in expanded form.
Answer:
76.103
2/2
(7 10) +(6 1) + (1 0.1) + (3 0.001)
Example 1-2b
Write fifty-nine and sixty-two thousandths in standardform and in expanded form.
59.062
Answer:
*
2/2
(5 10) +(9 1) + (6 0.01) + (2 0.001)