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09/12/2014
Week 3 Vocabulary
Your test will have 16 (4 we will do together at the very beginning of the assessment) questions and will cover the
material found in this packet. Good Luck!!
Whole Numbers
The set of natural numbers and 0, {0, 1, 2, 3, . . .}
Fractional Parts
Decimal Place
Value
Fractions which have the same value, even though they may look different.
Example 1/2 and 2/4 are equivalent, because they are both "half"
Equal Parts
Wholes
Parts Statement
All of something. Complete.
1/24
Is read: “One equal part of 24 equal parts”
Having the same value.
Equivalency
Examples:
1 Dollar is equivalent to 100 cents
120 seconds is equivalent to 2 minutes
Money: how much something is worth.
Value
Example: A nice house may have a value of many hundreds of thousands of
dollars.
Mathematics: the result or 'output' of a calculation.
Example: 3 × 4 gives the value of 12.
A symbol used to represent a number.
Examples:
Numerals
A way to write numbers by showing the value of each digit
Expanded
Notation
Examples:
635 = 600 + 30 + 5
1,479 = 1,000 + 400 + 70 + 9
A symbol used to make numerals.
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the ten digits we use in everyday
numbers.
Example: the numeral 153 is made up of 3 digits ("1", "5" and "3").
Digit
Convert Fractions and Decimals Models
Fractions and decimals can all be used to represent part of a whole.
Example 1:
The rectangle is divided into equal parts. What decimal represents the portion of shaded parts?
Solution:
The rectangle above is divided into 10 equal parts. Three of the 10 equal parts are shaded. So, the
model represents
In word form,
.
is three-tenths. In decimal form, three-tenths is written as 0.3.
Example 2:
The rectangle is divided into equal parts. What decimal represents the portion of shaded parts?
Solution:
The rectangle above is divided into 100 equal parts. Twenty-three of the 100 equal parts are shaded.
So, the model represents
In word form,
0.23.
.
is twenty-three hundredths. In decimal form, twenty-three hundredths is written as
Example 3:
The large cube below is made of smaller cubes. If some of the small cubes are removed until there
are only 373 cubes left, what decimal represents the portion of small cubes that are left over?
Solution:
The large cube above is divided into 1,000 small cubes of equal size.
Some of the small cubes were removed, and now there are 373 small cubes left. The small cubes left
represent
of the large cube.
In word form,
is three-hundred seventy-three thousandths. In decimal form, three-hundred
seventy-three thousandths is written as 0.373.
Reading and Writing Numbers
It is important to be able to translate numbers from written form to numerical form, and vice versa.
To translate a number from written form to numerical form, break up the number into three different
parts.
1. the written number before "and"
2. "and"
3. the written number after "and"
For the written number before "and", just write the numerical form.
The word "and" will represent the decimal point.
For the written number after "and", write the number in numerical form and then place the right most
digit of that number in the place value (tenths or hundredths) shown in the written form.
For example:
seven tenths = 0.7
seven hundredths = 0.07
seven thousandths = 0.007
Example:
How would one hundred thirty-seven and fifty-two hundredths be written as a number?
Solution:
"One hundred thirty-seven" is before the "and." This means that 137 will be to the left of the decimal.
"And" is the decimal.
"Fifty-two hundredths" is after the "and." Take the number 52 and place the 2 in the hundredths place
to the right of the decimal. So, in this problem, 5 is in the tenths place and 2 is in the hundredths
place.
Put these together to get the number below.
137.52
To translate a number from numerical form to written form, break up the number into three different
parts.
1. the number to the left of the decimal
2. the decimal point
3. the number to the right of the decimal
Start by writing out the number to the left of the decimal.
The decimal point is translated as the word "and".
For the portion of the number after the decimal point, identify the smallest place value, and write the
number in terms of this place value.
Example:
How would the following number be written in English?
28,475.38
Solution:
In the number, 28,475 is to the left of the decimal. Therefore, when the number is written in words,
"twenty-eight thousand, four hundred seventy-five" will come first followed by "and".
Next, 3 is in the tenths place and 8 is in the hundredths place. So, the rest of the number written in
words is "thirty-eight hundredths".
Put these together to get the number below.
Twenty-eight thousand, four hundred seventy-five and thirty-eight hundredths