Patterns with Exponents and Powers of 10
Understanding Whole Number Place Value
Decimals to Thousandths
Understand Decimal Place Value
Compare Decimals
100
What is the product of 3 x 10 to the 3rd power?
The product of 3 x 10 to the 3rd power is 3,000.
100
Write 4,050 in expanded form.
4,050 written in expanded form is (4 x 10 to the 3rd power) + (5 x 10 to the 1st power).
100
How do you write 0.05 as a fraction?
0.05 is written as 5/100.
100
What is 476.637 written in expanded form?
476.637 written in expanded form is (4 x 100) + (7 x 10) + (6 x 1) + (6 x 1/10) + (3 x 1/100) + (7 x 1/1,000)
100
Compare the numbers 5.733 and 5.693. Use the symbols >, <, and =.
5.733 is > (greater than) 5.693.
200
What is the product of 10 to the 4th power?
The product of 10 to the 4th power is 10,000.
200
What is the value of the 7's in 7,700?
The value of the first 7 is 7,000 and the value of the second 7 is 700.
200
What is 508/1000 written as a decimal?
508/1000 written as a decimal is 0.508.
200
What is the number name for the decimal 3.309
The number name for the decimal 3.309 is three and three hundred and nine thousandths.
200
Write the following decimals in order from greatest to least. 435.566 436.565 435.665
The order from greatest to least is 436.565, 435.665, and 435.566.
300
What is the product of 10 to the 3rd power x 6?
The product of 10 to the 3rd power x 6 is 6,000.
300
Write 8,000,000 + 300 + 9 in standard form.
8,000,000 + 300 + 9 written in standard form is 8,000,309.
300
What is 17/1,000 written as a decimal?
17/1,000 written as decimal is 0.017.
300
What are two decimals that are equivalent to 2.200?
Two decimals that are equivalent to 2.200 are 2.2 and 2.20.
300
Compare 7,216 and 7,217 using >, <, and =.
7,216 < (less than) 7,217.
400
Write 10 x 10 x 10 x 10 x 10 x 10 with an exponent. Explain how you decided what exponent to use.
10 x 10 x 10 x 10 x 10 x 10 written with an exponent is 10 to the 6th power. Since 10 is multiplied 6 times, the exponent is 6.
400
What is 102,242 written in expanded form?
102,242 written in expanded form is (1 x 100,000) + (2 x 1,000) + (2 x 100) + (4 x 10) + (2 x 1).
400
Kelly said that 97/1,000 can be written as 0.97. Is she correct? Explain.
No Kelly is not correct. 97/1,000 is equivalent to 0.097. 0.97 is equivalent to 97/100.
400
Write four hundred twenty five and fifty-two hundredths as a decimal.
Four hundred twenty five and fifty-two hundredths written as a decimal is 425.52.
400
Compare 0.75 and 0.750 using <, >, and =.
0.75 = (equal to) 0.750.
500
One box of printer paper has 3 x 10 to the 2nd power sheets of paper. Another box has 10 to the 3rd power sheets of paper. What is the total number of sheets in box boxes?
The total number of sheets in both boxes is 1,300 sheets.
500
In the number 555,000 how many times great is the 5 in the hundred thousands place compared to the 5 in the thousands place?
The 5 in the hundred thousands place is 100 times greater than the 5 in the thousands place.
500
In the number 0.999, how is the middle 9 related to the value of the 9 to its left? How is it related to the value of the 9 to its right?
The value of the 9 in the middle is 1/10 of the value of the 9 to its left and 10 times as great as the value of the 9 to its right.
500
In the number 0.777, describe the relationship between the values of the digits in the number.
The first 7 is 10 times the value of the digit to its left. The value of the last 7 is 1/10 of the value of the digit to its right.
500
Why can it help to line up the decimal points before comparing and ordering numbers with decimals?
When you line up the decimal points, you can easily compare digits of the same place value.