Patterns with Powers of 10
Whole Number Place Value
Decimals to the Thousandths
Understanding Decimal Place Value
Compare and Round Decimals
100
What is the product 7 × 106?
7,000,000
100
Write 30,000 + 80 + 2 in standard form.
30,082
100
How is 0.008 written as a fraction?
8/1000
100
Every day after her daily walk, Dena drinks 1.06 liters of water. Which decimal is equivalent to 1.06?
- A. 1.6
- B. 1.600
- C. 1.060
- D. 1.006
C
If you stack the numbers with the decimal and place values lined up, and the compare the digits from left to right, there are no differences in the values of the numbers, so 1.06 = 1.060
100
The following table shows the times of four students who ran the 50-yard dash in their Physical Education class.
The students are listed in alphabetical order. Who ran the dash in the shortest time?
THE 50-YARD DASH Student Time (in seconds)
Benito 8.715
Eiko 8.669
Gloria 8.694
Osami 8.704
Eiko 8.669 seconds is the shortest time to run the 50 yard dash!
Stack the numbers and compare from left to right!
200
Which equations are true? Choose all that are correct.
- A. 10 × 10 × 10 × 10 × 10 = 50
- B. 10 × 10 × 10 × 10 × 10 = 105
- C. 10 × 10 × 10 × 10 × 10 = 10,000
- D. 10 × 10 × 10 × 10 × 10 = 100,000
- E. 10 × 10 × 10 × 10 × 10 = 5 × 105
B and D are true.
200
Venus is approximately 67,000,000 miles from the Sun. Earth is approximately 26,000,000 miles from Venus. Approximately how many miles is Earth from the Sun?
Ninety-three million.
93,000,000
90,000,000 + 3,000,000
200
How is 41/1000 written as a decimal?
.041
200
A green sea turtle weighs 355.3 kilograms. What is the word form of this number?
Three hundred fifty-five and 3 tenths.
200
Which numbers are in order from least to greatest?
- A. 0.561, 8.627, 5.325
- B. 4.057, 4.122, 5.008
- C. 1.742, 1.558, 1.671
- D. 6.705, 6.527, 6.211
B
300
Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equation shows how many minutes Jack reads his book in two weeks?
- A. (8 × 5) + (10 × 5) = 40 + 50 = 90 minutes
- B. (8 × 8) + (10 × 10) = 64 + 100 = 164 minutes
- C. (8 × 10) + (10 × 10) = 80 + 100 = 180 minutes
- D. (8 × 14) + (10 × 14) = 112 + 140 = 252 minutes
- C. (8 × 10) + (10 × 10) = 80 + 100 = 180 minutes
300
Enter a number in each blank to complete the expanded form of 270,950.
(2 ×__) + (7 ×__) + (9 ×__) + (5 ×__)
(2 ×1,000,000) + (7 ×10,000) + (9×100) + (5x10)
300
What number makes the following statement true? Enter your answer in the box.
0.07 is 10 times as great as________.
.007
300
Write the number in standard form.
(8 × 10) + (1 × 1/10) + (6 × 1/100)
80.016
300
Which comparison is true?
- A. 0.680 > 0.68
- B. 0.74 = 0.740
- C. 0.51 < 0.510
- D. 0.990 < 0.99
B
400
Which equations are true? Select all that are correct.
- A. 9 × 103 = 9 × 1,000
- B. 3 × 10,000 = 30,000
- C. 200,000 = 2 × 106
- D. 104 = 10 × 10 × 10 × 10 × 10
- E. 90,000 = 9 × 104
A , B, and E are true.
400
Ava is thinking of a four-digit number described below.
- The value of the digit in the hundreds place is 100.
- The value of the digit in the ones place is 3.
- The value of the digit in the thousands place is 4,000.
- The value of the digit in the tens place is 70.
What number is Ava thinking of? Enter your answer in the box.
4,173
400
Select whether each statement is True or False.
A. 0.005 is 1/10 the value of 0.05
B. 0.34 is 1/10 the value of .034
C. 0.02 is 10 times 0.02
D. 0.19 is 10 times as great as 0.019
A- True
B- False
C. -False
D- True
400
Three boys cut out hundredths decimal models. Luke shades three fourths of one model. Owen shades four small squares of one model. Jacob shades two full models and nine tenths of another model.
What decimal represents the amount each boy shades?
Enter your answers in the boxes.
Luke shades ________.
Owen shades _________.
Jacob shades _________.
Luke = .75
Owen = .04
Jacob = 2.9
400
Round the number to the hundredths place.
0.758
0.76
500
The town Diego lives in has a population of about 16,000. Describe all the numbers that, when rounded to the nearest hundred, round to 16,000.
Numbers greater than or equal to ______________ and less than_______________ .
Numbers greater than or equal to 15,950 and less than 16,050.
500
Which is true of the number 55,555?
A. Each digit has a value less than the value of the digit to its right and greater than the value of the digit to its left.
B. Each digit has a value 10 times the value of the digit to its right and 10 times the value of the digit to its left.
C. Each digit has a value 1/10 of the value of the digit to its right and 10 times the value of the digit to its left.
D. Each digit has a value 10 times the value of the digit to its right and 1/10 of the value of the digit to its left.
D !!!!!
Each digit is 10 times the digit to it's right, and 1/10 the digit to it's left.
Each place to the left is 10 times that of the right, and each place to the right is 1/10 that of the place to the left.
500
Jill says that 23/1000 can be written as 0.23.
Is Jill correct? Explain your answer.
Jill is not correct, because 23/1000 can be written as 0.023 NOT 0.23 as the statement states. 0.23 is equivalent to 23/100, not 23/1000.
500
Which decimals are equivalent to (5 × 10) + (2 × 1/100)?
Choose all that apply.
- A. 50.020
- B. 50.002
- C. 5.02
- D. 50.20
- E. 50.02
A and E
500
Which numbers round to 7.91 when rounded to the nearest hundredth? Select all that apply.
- A. 7.914
- B. 7.905
- C. 7.901
- D. 7.915
- E. 7.909
A, B, and E