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5.1 Study Guide.docx

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4/23/2021
5.1 Study Guide.docx
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5.1 Study Guide.docx
5.1 Study Guide
Decimals and Rounding
Learning Goals
5.1
The student, given a decimal through thousandths, will
round to the nearest whole number, tenth, or hundredth.
Vocabulary
Place value – the value a digit represents depending on its place
in the number
Example: the digit 6 represents the hundredths
place
Value – how much a digit is worth according to its place in a
number
Example: the value of the 6 is 0.06 (six hundredths)
Digit – there are 10 digits: - 0 , 1, 2, 3, 4, 5, 6, 7, 8, and 9
Rounding – reducing the digits in a number while trying to keep
the value similar
Comparing – seeing whether two numbers are greater than, less
than, or
equal to each other
Whole Number – the counting numbers plus zero (0, 1, 2, 3,
4…)
Greater than - >
Less than - <
Equal to - =
NOT Equal to -
Location is Everything!!!
● A number’s location determines its value. A 5 in
the hundreds place has a value of 500, but a 5
in the ones place only has a value of 5.
● As you move to the left the value increases x 10;
as you move to the right, the value decreases by
dividing by 10.
● The decimal point separates the whole numbers
and the decimal places. Decimals represent part
of a whole (or a fraction of something). The
decimal point is read as “AND”.
Practice at Home
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5.1 Study Guide.docx
● Rounding decimals: Underline the place that you are
rounding to. Look to the place to the right to
determine if you should round up or down.
5.1 Study Guide.docx
Example: 5.829
Updated automatically every 5
minutes
rounded to the nearest whole (ones):
5.829
=6
rounded to the tenths place
place
5.829
=
5.8
rounded to the hundredths
5.829
= 5.83
Sample Questions
1. Round 5.693 to the nearest whole.
A
B
C
D
5
5.7
5.69
6
2. What is the value of the 7 in the following decimal?
0.175
____________
3. Which digit would fit in the blank to make the following
true: 0.154 > 0.1___6
A
B
C
D
7
5
4
9
4. Which statement below is true?
A
B
C
D
25.34 > 25.6
25.34 < 25.021
25.34 < 25.314
25.34 > 25.334
5. When rounded to the nearest tenth, which of the decimal
numbers below rounds to 546.7?
A
B
C
D
546.772
546.64
546.681
546.75
6. Which set of decimals is in order from greatest to least?
A
B
C
D
2.002, 2.02, 2.220, 2.2
2.002, 2.02, 2.2, 2.220
2.220, 2.2, 2.02, 2.002
2.220, 2.002, 2.02, 2.2
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