Place value of decimals
Expanded form
Rounding Decimals
Comparing and Ordering Decimals
Comparing values
100

3.58

What is the place value of the underlined digit?

a. hundredths place

b. tenths place 

c. ones place 

d. thousandths place 

a. hundredths place

100
Write in expanded form: 89.456

8 x 10 + 9 x 1 + 4 x 1/10 + 5 x 1/100 + 6/1,000

100

Round to the nearest tenth:   4.63 → ___

4.6

100

Compare using >, <, or =:

0.75 ___ 0.705

0.75 > 0.705

100

In the number 4,477, the underlined 4 is __________ greater than the 4 to its right.

A. 4 times

B. 10 times

C. 40 times

D. 100 times

B. 10 times

200

827.764

What is the value of the underlined digit?

a. hundredths place 

b. tenths place 

c. ones place 

d. thousandths place

d. thousandths place

200

Write the following number in STANDARD form and WORD form:

6 x 1,000 + 5 x 10 + 7 x 1 + 4 x 1/100 + 3 x 1/1,000

6,057.043

Six thousand, fifty-seven and forty-three thousandths

200

Round to the nearest one: 12.778 → ____

13

200

Compare using >, <, or =:

6.092 ___ 6.09

6.092 > 6.09

200

In the number 7.777, the underlined 7 is 1/10 the value of which underlined digit?

A) The 7 in the tenths place
B) The 7 in the hundredths place
C) The 7 in the thousandths place
D) The 7 in the ones place

D) The 7 in the ones place

300

In the number 4.739, what is the value of the digit 3?

.03 

300

Mrs. Johnson wrote the number 47.63 on the board. Which answer choice shows another way she could have written the number?

A. (4 × 1) + (7 × 1) + (6 × 1/10) + (3 × 1/100)
B. (4 × 10) + (7 × 1) + (6 × 1/10) + (3 × 1/100)
C. (4 × 10) + (7 × 1) + (6 × 1/100) + (3 × 1/1000)
D. (4 × 10) + (7 × 1) + (6 × 1/10) + (3 × 1/10,000)

B. (4 × 10) + (7 × 1) + (6 × 1/10) + (3 × 1/100)

300

Round to the nearest ten: 89.56 → ____

90

300

Order from least to greatest:

3.82, 3.78, 3.805, 3.8

3.78 < 3.8 < 3.805 < 3.82

300

Compare the value of the digit 7 in the following number: 17,038.7

_____ is _____ times greater than ______.

7,000 is 10,000 times greater than .7.

400

In the number 9.047, what is the place value of the digit 4?

hundredths

400

Mr. Lopez wrote the number 105.42 on the board. Which answer choice shows another way he could have written the number?

A. (1 × 100) + (0 × 10) + (5 × 1) + (4 × 1/10) + (2 × 1/100)
B. (1 × 10) + (0 × 1) + (5 × 1) + (4 × 1/10) + (2 × 1/100)
C. (1 × 100) + (0 × 10) + (5 × 1) + (4 × 1/100) + (2 × 1/1000)
D. (1 × 100) + (0 × 10) + (5 × 1) + (4 × 1/10) + (2 × 1/1,000)

A. (1 × 100) + (0 × 10) + (5 × 1) + (4 × 1/10) + (2 × 1/100)

400

Emma is training for a race. She ran 3.768 miles on Monday, 4.245 miles on Wednesday, and 5.682 miles on Friday. Round each distance to the nearest tenth.

Monday: 3.8 miles

Wednesday: 4.2 miles

Friday: 5.7 miles

400

Ava, Liam, and Noah measured the length of their toy cars. Ava’s car was 5.62 cm, Liam’s car was 5.7 cm, and Noah’s car was 5.602 cm.

  • Who has the shortest car? Who has the longest?

Shortest car: Noah

Longest car: Liam

400

Compare the value of the digit 9 in the following number: 4,583.909

_____ is _____ times greater than ______.

.9 is 100 times greater than .009

500

In the number 378.280, is the zero needed? Explain why or why not. 

The zero is not needed. 378.28 is equal to 378.280.

500

Sarah is saving money to buy a new bike. She has $236.78 in her savings account. To help her little brother understand the value of the number, she decides to write it in expanded form. Show $236.78 in expanded form.

(2 x 100) + (3 x 10) + (6 x 1) + (7 x 1/10) + (8 x 1/100)

500

When rounded to the nearest tenth, a number is 56.7. Which of the following could be the original number?

A. 56.743

B. 56.78

C. 55.99

D. 56.680

A. 56.743

D. 56.680


500

A grocery store received shipments of flour from different brands. The weights of the bags were 2.501 kg, 3 kg, 2.505 kg, and 2.5 kg.

  • Order the weights from greatest to least.

2.5 kg < 2.501 kg < 2.505 kg <  3 kg

500

What number would be 1/100 of the value of the underlined digit: 5,370.379

0.3 ÷ 100 = 0.003

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