Decimal Values
Comparing Decimals
Rounding Decimals
Expanded Form, Standard Form and Number Names
Patterns
100

Which numbers have a digit in the ones place that is 1/10 the value of the digit in the tens place?  Choose all that apply.

3,022

9,228

2,404

2,744

6,222

3,022

2,744

6,222

100

Use >, <, or = to compare.


5.090      5.09

=

100

Round 5.027 to the nearest hundredth.

5.03

100

What is four million, six hundred twenty-five thousand, twenty-two in standard form?

4,625,022

100

Harris saw the following pattern with some missing terms:

0.004 ; 0.005 ; _.___ ;0.007 ; _.___ ; _.___ ; 0.01

What are the missing terms?


0.006

0.008

0.009

200


8.022 is 1/10 of 80.22

Explain why.

The number 8.022 is shifted to the right one place value position from 80.22, therefore it is 1/10 less.

200

Matthew says that this is a true statement.  Is he correct?  If not, explain his misconception (what he misunderstood) and why he is not correct.

2.05 = 2.5

Matthew is incorrect.  Matthew thought that since there was a 0 in the problem, that the decimals had to be equal.  What he did not realize was that the 0 had to be at the end of the deicmal.

If you look at the tenths place, the first decimal has a 0 while the second decimal has a 5.  Therefore, 2.05 < 2.5

200

Round 6.789 to the nearest tenth.

6.8

200

What is the number name for 45,890,563?

forty-five million, eight hundred ninety thousand, five hundred sixty-three.

200

Tanya also saw a pattern with some missing terms.  What are the missing terms?

0.019 ; _.____ ; _.___ ; 0.049

How did you figure it out?

0.029

0.039

I figured it out because I noticed that the hundredths place was increasing by one digit.

300
What is the relationship between the 7s in 7.777?
Sample Answer:  Moving left, each 7 is 10 times greater than the one next to it.


Moving right, each 7 is 1/10 or 10 times less than the 7 next to it.  

300

Write these decimals in order from least to greatest.

4.09

4.009

4.9

40.9

4.009 ; 4.09 ; 4.9 ; 40.9

300

Round 0.999 to the nearest tenth.

1.0

300

What is (4 x 102) + (8 x 101) + (2 x 1/10) + (7 x 1/1000) in standard form?

480.207

300

Aimee is hiking.  When she returns to camp, she passes the following mile markers....

2.6 mile

2.5 mile

2.4 mile

2.3 mile

Explain how she can find out what the next 4 mile markers are?

The tenths place keeps decreasing by 1, so the next 3 will be 2.2 mile, 2.1 mile, and 2.0 mile.  For the last one, we need to decrease the whole number by 1 whole, but place a 9 in the tenths place because since we are decreasing the whole number, we need to start the tenths again at 9.

400

Complete the sentences to make true statements.

1.  0.09 is 10 times __________

2.  9 is 100 times ___________

3.  0.9 is 1/100 of ________

1.  0.009

2.    0.09

3.    90


400

Put these decimals in order from greatest to least.  

8.45

8.5

8.045

8.445

8.5 ; 8.45 ; 8.445 ; 8.045

400

A grocery store bill was $234.89.  Pauline said that round to the nearest whole, she spent about $234.  Is she correct?  Why or why not?

Pauline is incorrect.  The 8 in the tenths place would change the 4 in the ones place to a 5, making it $235.

400

Write (4 x 1000) + (5 x 100) + (8 x 10) + (3 x 1/10) in standard from.

4,580.3

400

Mrs. Lamba noticed the following pattern:

0.048 ; 0.049 ; 0.05

How can she explain the pattern?

The pattern is increasing by one thousandth.  Once she gets to 0.05, the number in the hundredths place increases to a 5, and a 0 is not necessary because 0.05 = 0.050.

500
Rutherford High School has 6,000 students.  Porthill High School has 1/10 as many students as Rutherford High School.  How many students are at Porthill High School?

600 students

500

Sally says that 8.29 is greater than 8.5 because 29 is a greater number than 5.  Is she correct?  If not, please explain.

She is not correct.  If you compare the tenths place, you can see that 2 is less than 5, so 8.5 is the greater decimal.  

or

She is not correct.  If you add a 0 to the end of each decimal, you can compare 29 and 50 and see that 29 is less than 50.  Therefore 8.5 is the greater decimal.

500
A decimal rounded to the nearest hundredth is 7.18.  What numbers could we possibly have started with that end up rounding to 7.18?  List 3

Possible answers:

7.180           7.175

7.181           7.176

7.182           7.177

7.183           7.178

7.184           7.179

7.184           


500

The weight of a paperback book is 2.045 ounces.  What is this written in expanded form?  Write it out using fractions, not decimals.

(2 x 1) + (4 x 1/100) + (5 x 1/1000)

500

Please provide the missing terms in this pattern:

0.03 ; 0.029 ; _.___ ; _.___ ; 0.026

0.028 ; 0.027