5th Topic 1: Understand Place Value

Powers of 10: Place Value

100

Fill in the blank:

10 times as much as 50 is ______.

10 times as much as 50 is 500.

200

Fill in the blank: 

100 times as much as 200 is ____.

100 times as much as 200 is 20,000.

300

Evaluate the expression below:

44,000 x 1/100

44,000 x 1/100 = 440 

(Think of it at 100 times less than 44,000 and remove 2 zeros!)

400

What is the value of the missing digit?

? x 1/100 = 24

? x 1/100 = 24

? = 2,400

500

Which statements about the values of 3,800 and 380 are true?

A) 3,800 is 100 times more than 380

B) 380 is 10 times less than 3,800

C) 380 is 1/10 of 3,800

Which statements about the values of 3,800 and 380 are true?

A) 3,800 is 100 times more than 380 - FALSE

B) 380 is 10 times less than 3,800 - TRUE

C) 380 is 1/10 of 3,800 - TRUE

Rounding

100

Round to the nearest whole number: 25.6

Round to the nearest whole number: 25.6

= 26

200

Round to the nearest tenth: 134.524

Round to the nearest tenth: 134.524

= 134.5 

300

Round to the nearest hundred: 1,298.443

Round to the nearest hundred: 1,298.443

= 1,300 

400

The amount of gas needed for two cars is shown below.

CAR A - 12.133 gallons

CAR B - 12.445 gallons

What is the amount of gas needed for CAR B when rounded to the nearest hundredth?

CAR B - 12.445 gallons

Nearest hundredth is: 12.45 gallons

500

I am a 4 digit number.

When I am rounded to the nearest tenth, I equal 8.3.

When I am rounded to the nearest hundredth, I equal 8.35.

What number am I?

Answers can be:

8.345, 8.346, 8.347, 8.348, or 8.349

Powers of 10: Exponents

100

Write 10⁴ in standard form?

10⁴ = 10,000 

200

What is 4 x 10²?

4 x 10² = 400

300

What is 43 x 10⁵?

43 x 10⁵ = 4,300,000

400

An equation is shown below.  What is the missing exponent?

85 x 10^? = 850,000,000

85 x 10^? = 850,000,000

The missing exponent is 7.

500

Rewrite 4 x 300 using the powers of 10 and exponents.

4 x 300=

(4 x 3) x 10²

Number Forms

100

What is three hundred and seven tenths in standard form?

What is three hundred and seven tenths in standard form?

= 300.7

200

What is fifty-seven hundredths in standard form?

What is fifty-seven hundredths in standard form?

= 0.57

300

What is nine and fifty-seven thousandths in standard form?

What is nine and fifty-seven thousandths in standard form?

= 9.057

400

A number is written in expanded form below.  What is this number in standard form?

5 x (1/10) + 7 x (1/100) + 9 x (1/1000)

5 x (1/10) + 7 x (1/100) + 9 x (1/1000)

= 0.579

500

Write the number in expanded form:

20.293

20.293

= 2 x 10¹ + 2 x (1/10) + 9 x (1/100) + 3 x (1/1000)

Comparing Decimals

100

Which value is greater: 

1.407 or 1.047

1.407 is greater than 1.047

200

Which value is greater:

3.50 or 3.5?

3.50 is equal to 3.5

300

Compare the two numbers:

2.972 is ______ than 2.792

2.972 is greater than 2.792

400

Margret's mother told her to purchase the heaviest pack of ground beef.  Which package should she buy?

Package A - 1.278 lbs

Package B - 1.287 lbs

Package C - 0.877 lbs

Margret should buy Package B because is the heaviest.

Package A - 1.278 lbs

Package B - 1.287 lbs 

Package C - 0.877 lbs

500

Doug is trying to reward his followers that have given him the most likes on his posts.  If he rounds to the nearest tenth, who should get the 1st and 2nd place prize?

Lisa - 200.875 likes

Mikey - 200.911 likes

Debs - 200. 845 likes

Lisa - 200.875 likes 

Mikey - 200.911 likes

Debs - 200. 845 likes

1st Place - Tie between Lisa and Mikey (both round to 200.9 likes)

2nd Place - Debs (200.8 likes)