5th Grade Unit 1 Base 10 and Decimals

Base 10

100

What is the base number in 10^2?

10

200

What does the exponent mean when using base 10?

How many times you multiply the bae number.

300

What is the number that represents 10^5?

100,000

400

True or False: The exponent is how many 0s are going to be in the number when using base 10.

True

500

 If Jenna has 10 cupcakes, and Lucy has Jenna's cupcakes^5,  how many cupcakes does Lucy have?   

100,000

Comparing Decimals

100

True or False: .40 > .400

False. They are equal

200

Use the > or < symbols to compare the the following decimals: 1.32 and 1.302 

1.32 > 1.302

300

Order the following decimals from greatest to least: 7.6, 76.1, .760, .7

76.1, 7.6, .760, .7

400

Order the following decimals from least to greatest: 

.3, .056, 3.5, .0356 

.0356, .056, .3, 3.5 

500

Jessica has gymnastics scores of 3.41, .987, 3.4, and 3.401. Order these scores from greatest to smallest.

3.41, 3.401, 3.4, .987

Rounding Decimals

100

Round .876 to the nearest tenth

.9

200

Round .421 to the nearest hundredth

.42

300

Round 1.282 to the nearest whole number, tenth, and hundredth 

Whole number: 1

Tenth: 1.3

Hundredth: 1.28

400

True or False: 2.393 rounded to the nearest thousandth place is 2.390

False

500

Serena was singing a song, and stopped 4.519 minutes into the song. What time did Serena stop singing rounded to the nearest hundredth?

4.52 minutes 

Base 10 Expanded Form

100

Write 82 in expanded form using exponents.

(8 x 10¹) + (2 x 10⁰)

200

What is 823 written in expanded form using exponents?

(8 x 10²) + (2 x 10¹) + (3 x 10⁰)

300

Write 9,237 in expanded form using exponents.

(9 x 10³) + (2 x 10²) + (3 x10¹) + (7 x10⁰)

400

Write 40,002 in expanded form using exponents, and regular expanded form. 

(4 x 10⁴) + (2 x 10⁰)

(4 x 10,000) + (2 x 1)

500

When you fly from Chicago to London it is 3,951 miles. Please write that mileage in expanded form using exponents.

(3 x 10³) + (9 x 10²) + (5 x 10¹) + (1 x 10⁰)

Decimals Expanded Form

100

Write .24 in expanded form using decimals 

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

200

Write .274 in expanded form using decimals 

(2 x 1/10) + (7 x 1/100) + (4 x 1/1000)

300

Write 2.962 in expanded form using decimals and base ten

(2 x 10⁰) + (9 x 1/10) + (6 x 1/100) + (2 x 1/1000)

400

Write 245.081 in expanded form using decimals 

(2 x 10²) + (4 x 10¹) + (5 x 10⁰) + (8 x 1/100) + (1 x 1/1000) 

500

Josie walked 2.43 miles to school, and Andy walked 5.2 miles to school. Please write the total miles that Josie and Andy walked to school in expanded form. 

(7 x 10⁰) + (6 x 1/10) + (3 x 1/100)