Decimals and Powers of 10

Expanded form

100

Write the number 54.09 in expanded form.

(5 x 10) + (4 x 1) + (9 x 1/100)

200

Write the number 503.89 in expanded form.

(5 x 100) + (3 x 1) + (8 x 1/10) + (9 x 1/100)

300

Write the number that is in expanded form in standard form. 

(4 x 1,000) + (5 x 1) + (4 x 1/10) + (6 x 1/100) +

 (2 x 1/1,000) =

4,005.462

400

Write the following number in expanded form.

45.402

(4 x 10) + (5 x 1) + (4 x 1/10) + (2 x 1/100)

500

Write the number you see in expanded form in standard form.

(8 x 10) + (3 x 1/10) + (4 x 1/1,000)

80.304

Exponents

100

10² = 

10 x 10 or 100

200

5.5 x 10³ = 

5,500

300

5.6 x 1/10 =

0.56

400

8.80 x 1,000 =

8,800

500

1.25 x 0.001 =

0.00125

<,>, =

100

1.999 ____ 3.001

1.999 < 3.001

200

0.09 ___ 0.90

0.09 < 0.90

300

1 ____ 0.999

1 > 0.999

400

5.5 x 10 ____ 5.5 x 1/10

5.5 x 10 > 5.5 x 1/10

500

0.01 ____ 0.001

0.01 > 0.001

How many times more than

100

7.7

The 7 in the ones place is ____ times the 7 in the tenths place.

The 7 in the ones place 10 times greater than the 7 in the tenths place.

200

7.7

The seven in the tenths place is ____ the value of the seven in the ones place.

The seven in the tenths place is 1/10 the value of the seven in the ones place.

300

In the number 854.8, the eight in the hundreds place is _____ times larger than the eight in the tenths place.

In the number 854.8, the eight in the hundreds place is 1,000 times larger than the eight in the tenths place.

400

In the number 5.05, the five in the hundredths place has a value that is _____ the value of the five in the ones place.

In the number 5.05, the five in the hundredths place has a value that is 1/100 the value of the five in the ones place.

500

8,431

If the 3 were moved two places to the left, which statement describes the relationship between the present value of the 3 and the new value of the 3?

a) The new value would be 10 times larger

b) The new value would be 1/10 times the present value

c) The new value would be 100 times the present value

c) The new value would be 100 times the present value.

Miscellaneous

100

10⁶ _{=  ?}

1,000,000

200

Which expression is equivalent to 5.069?

a) (5 x 10) + (6 x 1/10) + (9 x 1/100)

b) (5 x 10) + (6 x 1/100) + (9 x 1/1,000)

c) (5 x 1) + (6 x 1/100) + (9 x 1/1,000)

d) (5 x 1) + (6 x 1/10) + (9 x 1/100)

C. 5.069 = (5 x 1) + (6 x 1/100) + (9 x 1/1,000)

300

679.04 x 1/100 =

6.7904

400

What is the same as 0.438?

a) Four hundred thirty-eight thousandths

b) Four tenths and thirty-eight hundredths

c) Four hundred and thirty-eight hundredths

d) Zero and four hundred thirty-eight

a) Four hundred thirty-eight thousandths

500

What is the value of the 9 in the number 4.009?

a) ones

b) tenths

c) thousandths

d) thousands

c) thousandths