Powers of 10
Rounding Decimals
Comparing Decimals
Place Value
Random
100
5.4 x 10^4
54,000
100
What is the value of 89.7654 rounded to the nearest thousandth?
89.765
100
Choose the symbol that correctly completes the comparison: 56.468 _____ 56.486
<
less than
100
Consider place value in the number 5,410.
What place is the 1 in?
tens
100
The decimal means ____
and
200
85 divided by 1,000,000
.000085
200
The number 347.8364 rounded to the nearest hundredth is
347.84
200
Choose the symbol that correctly completes the comparison: 56.648 _____ 56.486
>
greater than
200
Cameron is asked to compare the value of the digit 1 in the numbers 4,184 and 6,317.
Which statement is a correct comparison?
a) The 1 in 6,317 represents 1/10 the value of the 1 in 4,184.
b) The 1 in 6,317 represents the same value as the 1 in 4,184.
c) The 1 in 6,317 represents 10 times the value of the 1 in 4,184.
d) The 1 in 6,317 represents 100 times the value of the 1 in 4,184.
a) The 1 in 6,317 represents 1/10 the value of the 1 in 4,184.
200
When you multiply by a power of 10, you move the decimal which way?
right
300
.37 divided by 10^5
.0000037
300
What is 729.83 rounded to the nearest tenth?
What is 729.83 rounded to the nearest hundred?
What is 729.83 rounded to the nearest ten?
729.8
700
730
300
The electrician needs a wire with a thickness no less than 0.673 centimeters and no more than 0.677 centimeters. Which wire thickness would not be acceptable?
a) 0.672 cm
b) 0.674 cm
c) 0.675 cm
d) 0.677 cm
a) 0.672
300
Esmund writes down a number that has a digit in the thousands place that represents 10 times the value of the digit in the hundreds place.
Which number could be Esmund's number?
a) 448
b) 7,742
c) 8,766
d) 44,315
b) 7,742
300
How does 1,000,000,000,000 look in exponential form?
10^12
400
A meteor in space is traveling at a speed of 7,356 meters per hour.
How many meters will this meteor travel in 10^4 hours?
73,560,000
400
Heidi calculates the tip for her restaurant bill to be $5.674791. She rounds the tip amount to the nearest hundredth using the two methods listed below.
Method 1: Heidi first rounds $5.674791 to $5.675 and then rounds $5.675 to $5.68.
Method 2: Heidi notices that the digit in the thousandths place is 4, so she rounds $5.674791 to $5.67.
Which choice indicates Heidi's correct rounding method(s)?
Method II
400
Jessie can swim one lap in 6.089 seconds, and Kelly can swim one lap in 6.098 seconds. The inequality given below is used to compare their speeds.
What symbol will make the inequality true?
<
less than
400
Which statement describes the relationship between the value of 8 in the number 547,813 and the value of 8 in the number 962,485?
a) The value of 8 in the number 547,813 is 10 times the value of 8 in the number 962,485.
b)The value of 8 in the number 547,813 is 100 times the value of 8 in the number 962,485.
c) The value of 8 in the number 547,813 is 1/10 the value of 8 in the number 962,485.
d)The value of 8 in the number 547,813 is 1/100 the value of 8 in the number 962,485.
a) The value of 8 in the number 547,813 is 10 times the value of 8 in the number 962,485.
400
What is the expanded form of 5,378.203
(5x1000)+(3x100)+(7x10)+(8x1)+(2x1/10)+(3x1/1000)
500
Andy has 9 types of toy cars and he has 10^2 of each type of car.
How many cars does Andy have?
900
500
Terrence calculates the tax on a restaurant meal to be $2.384679. He rounds the tax amount to the nearest hundredth using the two methods listed below.
Method 1: Terrence first rounds $2.384679 to $2.385 and then rounds $2.385 to $2.39.
Method 2: Terrence notices that the digit in the thousandths place is 4, so he rounds $2.384679 to $2.39.
Which choice indicates Terrence's correct rounding method(s)?
Neither
500
Each card below shows a number written in expanded form.
Card 1
3 x 100 + 8 x 10 + 9 x 1 + 4 x 1⁄10 + 0 x 1⁄100 + 5 x 1⁄1000
Card 2
3 x 100 + 8 x 10 + 9 x 1 + 3 x 1⁄10 + 0 x 1⁄100 + 5 x 1⁄1000
Card 3
3 x 100 + 8 x 10 + 9 x 1 + 4 x 1⁄10 + 0 x 1⁄100 + 6 x 1⁄1000
Card 4
3 x 100 + 8 x 10 + 9 x 1 + 5 x 1⁄10 + 0 x 1⁄100 + 6 x 1⁄1000
Which card has the number with the greatest value?
Card 4
500
Which two numbers have a 3 that is 10 times the value of the 3 in 1,249.35?
a) 6543.16
b) 7531.26
c) 9841.03
d) 6846.53
e) 1853.46
a) 6543.16
e) 1853.46
500
What happens when you divide a number by 10^3?
The decimal moves to the left 3 times.