Answer Keys: Decimal Place Value

Student Concept Worksheet Answers

1

Hundredths place; Value = 0.04

In 7.345, the 4 is in the second place after the decimal (hundredths)

2

Twenty-three and five hundred six thousandths

Read the whole number (23), say "and" for the decimal, then read the decimal part (506) and name the place of the last digit (thousandths)

3

8 + 0.2 + 0.04 + 0.001

8 ones + 2 tenths + 4 hundredths + 1 thousandth

4

9.47

"Forty-seven hundredths" means 47 in the hundredths position = 0.47, so nine and forty-seven hundredths = 9.47

Practice Worksheet Answers

Part A: Identify Place Value

#	Number	Place	Value
1	6.427	Tenths	0.4
2	15.381	Hundredths	0.08
3	9.056	Thousandths	0.006
4	24.159	Tens	20

Part B: Word Form

#	Decimal	Word Form
5	3.72	Three and seventy-two hundredths
6	14.008	Fourteen and eight thousandths
7	0.625	Six hundred twenty-five thousandths

Part C: Standard Form

#	Word Form	Standard Form
8	Twelve and forty-five hundredths	12.45
9	Seven hundred three thousandths	0.703
10	Twenty and nine tenths	20.9

Part D: Expanded Form

11

5 + 0.8 + 0.06

5 ones + 8 tenths + 6 hundredths

12

10 + 2 + 0.4 + 0.007

1 ten + 2 ones + 4 tenths + 0 hundredths + 7 thousandths

13

73.529

(7x10)=70, (3x1)=3, (5x0.1)=0.5, (2x0.01)=0.02, (9x0.001)=0.009 = 73.529

Part E: How Value Changes

14

0.05; 10 times smaller

Moving from tenths to hundredths divides the value by 10

15

0.3; 10 times greater

Moving from hundredths to tenths multiplies the value by 10

16

Number	Place of 4	Value of 4
4.123	Ones	4
0.412	Tenths	0.4
0.004	Thousandths	0.004

Challenge Questions:

#17: Marcus is NOT correct. 0.40 and 0.400 are equal (both equal 0.4). Adding zeros to the right of a decimal does not change its value. The zeros are placeholders but don't add value.

#18: Thousandths place. Example: 0.007 or 1.007 or 12.347 (any number with 7 in the thousandths place)

FAST Practice Quiz Answers

1

C) 0.07

In 45.872, the 7 is in the hundredths place. Its value is 7 hundredths = 0.07

2

B) 6 + 0.2 + 0.003

6.203 = 6 ones + 2 tenths + 0 hundredths + 3 thousandths = 6 + 0.2 + 0.003

3

A) 23.456

"Twenty-three and four hundred fifty-six thousandths" = 23.456 (the decimal part 456 is in thousandths)

4

Select: First three statements AND the fifth statement

The 5 in tenths = 0.5
The 5 in hundredths = 0.05
The 5 in thousandths = 0.005
All three 5s have the same value - FALSE (they have different values)
The 5 in tenths is 10 times the value of the 5 in hundredths - TRUE (0.5 = 10 x 0.05)

5

C) 12.004

For the 4 to have a value of 0.004, it must be in the thousandths place (third place after decimal). In 12.004, the 4 is in the thousandths place.

6

B) The value becomes 10 times smaller (0.07)

Moving a digit one place to the RIGHT makes its value 10 times smaller. 0.7 becomes 0.07 when the 7 moves from tenths to hundredths.

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