Decimals and Powers of Ten

Which of the equations correctly multiply by a power of 10? (There is more than one correct answer)

• 3.45 x 10³ = 3,450

• 3.48 x 10⁵ = 34,800,000

• 1673.1 ÷ 10² = 16.731

• 1673.1 ÷ 10² = 16.731

There are about 73,900 people attending a soccer game. How could you write 73,900 using powers of ten?

• 73.9 x 10³

• 73.9 x 10²

• 73.9 ÷ 10³

• 73.9 ÷ 10²

What is 67.378 rounded to the nearest hundredth?

• 67.378

• 67.400

• 67.380

• 67.370

Which statement is true?

• 0.042 > 0.42

• 0.003 > 0.030

• 0.07 > 0.6

• 0.1 > 0.010

Ethan wrote the number shown below. Lucy wrote another number in which the value of the digit 5 is 100 times larger than it is in Ethan's number. Which number could be Lucy's number?

• 4958.03

• 4874.65

• 4945.82

• 4982.58

Look at the number below. How does the value of the underlined digit compare to the value of the digit to its left? (Choose all that apply.)

7.77

• It is one tenth the value of the digit to the right.

• It is 10 times the value of the digit to the right.

• It is one tenth the value of the digit to the left.

• It is 10 times the value of the digit to the left.

Sam went fishing at a lake in Idaho and caught 4 different types of trout. The type and length of each trout he caught are listed in the table below. Which type of trout measured the longest in length?

• Lake Trout

• Brook Trout

• Rainbow Trout

• Brown Trout

The value of the digit 3 in 743,958 is ___ times the value of the 3 in 341.

• 10,000

• 1,000

• 100

• 10

The value of the digit 2 in 6.002 is ___ times the value of the 2 in 2.006.

• 1,000

• 100

• 0.001

• 0.01

Some of the fifth grade students are painting a wall behind the school. The total area of the wall is 875 square feet. So far, they have painted a section of the wall that is one hundredth the area of the wall. Which of the following is the area of the painted section?

• 87.5 square feet

• 8.75 square feet

• 80.75 square feet

• 8,750 square feet