Place Value

Decimals

100

As we go to the right of the decimal point, do the numbers get smaller or larger?

Smaller! When we go to the left however, the numbers get larger. 

200

How can we represent 4/1,000 as a decimal? 

0.004

300

What is the value of the 4 in the number 35.64?

4 hundredths or 4/100

400

Jonathan wins a race by 8 tenths of a second. Which decimal is equal to 8/10? 

a. 8.00

b. 0.08

c. 0.80

d. 8.10

C. 0.80

500

Write the number (7 X 1) + (9 X 1/1,000) in standard form. 

7.009

Expanded Form

100

When we write a number in expanded form using exponents, what does the exponent tell us?

i.e. (1X10³) + (3X10²) + (5X10¹) + (8X10⁰)

The exponent tells us the number of zeros in the product. 

200

Write the number 167,832 in expanded form using exponents. 

(1X10⁵) + (6X10⁴) + (7X10³) + (8X10²) + (3X10¹) + (2X10⁰) 

300

Find the product of 8 X 10⁵

800,000

400

Write the number 3,457,098 in expanded form without exponents. 

3 X 1,000,000 + 4 X 100,000 + 5 X 10,000 + 7 X 1,000 + 9 X 10 + 8 X 1

500

Write the number 654.98 in expanded form using exponents. 

(6 X 10²) + (5 X 10¹) + (4 X 10⁰) + (9 X 1/10) + (8 X 1/100)

Extra

100

In 2010, the population of New York was 10,901,345 people. What is the value of the digit in the hundred thousands place in 10,901,345?

900,000

200

Write 7 X 10 X 10 X 10 X 10 X 10 X 10 with an exponent. 

7 X 10⁶

300

Is the 6 in the thousands place 10 times as big as the 6 in the tens place? 

The number is 6,666

No. It is 100 times bigger than the 6 in the tens place. 6 in the thousands place is worth 6,000 and 6 in the tens place is worth 60. 

400

What is the value of the digit 2 in 42,906.

2 thousand

500

Write 7 thousandths in standard number form. 

0.007

Comparing/Rounding

100

Compare the two numbers using =, < and >. 

0.980 ____ 0.98

0.980 = 0.98

200

Order to decimals from least to greatest: 0.312, 0.032, 0.203

0.032, 0.203, 0.312

300

Round the decimal, 4.62, to the nearest whole number. 

4.62 rounds up to 5

400

Round the number 7.620 to the nearest tenth. 

7.6

500

Round the number 3.08 to the nearest tenth and explain how you rounded it. 

3.08 rounds to 3.1

I looked at the number in the hundredths place. Since it was greater than 5, I rounded up and then dropped the hundredths digit. 

Extra

100

What number makes the following statement true?

0.07 is 10 times as great as ______

a. 0.7 

b. 0.070

c. 0.007

d. 7.00

c. 0.007

200

Write the number three million seven hundred twenty-nine thousand five hundred and six in standard form. 

USE COMMAS IN THE CORRECT SPOT!!!

3,729,506