Decimal Values
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
Use >, <, or = to compare.
5.090 5.09
=
Round 5.027 to the nearest hundredth.
5.03
What is four million, six hundred twenty-five thousand, twenty-two in standard form?
4,625,022
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
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.
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
Round 6.789 to the nearest tenth.
6.8
What is the number name for 45,890,563?
forty-five million, eight hundred ninety thousand, five hundred sixty-three.
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.
Moving right, each 7 is 1/10 or 10 times less than the 7 next to it.
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
Round 0.999 to the nearest tenth.
1.0
What is (4 x 102) + (8 x 101) + (2 x 1/10) + (7 x 1/1000) in standard form?
480.207
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.
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
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
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.
Write (4 x 1000) + (5 x 100) + (8 x 10) + (3 x 1/10) in standard from.
4,580.3
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.
600 students
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.
Possible answers:
7.180 7.175
7.181 7.176
7.182 7.177
7.183 7.178
7.184 7.179
7.184
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)
Please provide the missing terms in this pattern:
0.03 ; 0.029 ; _.___ ; _.___ ; 0.026
0.028 ; 0.027