Decimals & Percents · Understand decimals · 1.1

Decimal place value.

Each place after the decimal point is ten times smaller than the one before: tenths, hundredths, thousandths. In 3.47, the 4 is 4 tenths (0.4) and the 7 is 7 hundredths (0.07).

01 / THE IDEA

See it work.

Place value

Each digit has a place.

0
hundreds
0
tens
3
ones
.
4
tenths
7
hundredths
0
thousandths

Watch the method

Decimal place value

In 3.47, the 7 is in the hundredths place — worth 0.07.

1 / 2
3.473.47
1

Locate the place

The hundredths place is 2 place(s) after the point.

3.473.47
2

Read its value

That digit is 7, worth 7 hundredths.

=0.07= 0.07
02 / YOUR TURN

Practice until it feels automatic.

Your turn

Work it out.

Type a decimal, e.g. 0.75.

streak 0
best 0
… =
— / WHY IT WORKS

The idea underneath.

Places after the point

Tenths (1/10), hundredths (1/100), thousandths (1/1000). A digit’s value is the digit times its place.

Why it works

0.07 is seven hundredths.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

What is the value of the hundredths digit in 9.49?

1

Locate the place

The hundredths place is 2 place(s) after the point. 9.49

2

Read its value

That digit is 9, worth 9 hundredths. = 0.09

EX 2medium

What is the value of the tenths digit in 4.98?

1

Locate the place

The tenths place is 1 place(s) after the point. 4.98

2

Read its value

That digit is 9, worth 9 tenths. = 0.9

EX 3hard

What is the value of the hundredths digit in 7.83?

1

Locate the place

The hundredths place is 2 place(s) after the point. 7.83

2

Read its value

That digit is 3, worth 3 hundredths. = 0.03

04 / COMMON TRAPS

Where students slip.

Trap

Reading 0.07 as “seven tenths”.

Fix

0.07 is seven hundredths; 0.7 is seven tenths.

Trap

Thinking more digits means bigger.

Fix

0.5 > 0.45 even though 0.45 has more digits.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

What is the value of the hundredths digit in 9.07?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
C2

What is the value of the hundredths digit in 8.51?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
C3

What is the value of the hundredths digit in 6.52?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
C4

What is the value of the tenths digit in 5.17?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
Apply

Apply (4)

A1

What is the value of the hundredths digit in 1.98?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
A2

What is the value of the tenths digit in 6.46?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
A3

What is the value of the tenths digit in 6.64?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
A4

What is the value of the tenths digit in 2.85?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
Extension

Extension (4)

E1

What is the value of the tenths digit in 4.15?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
E2

What is the value of the tenths digit in 1.39?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
E3

What is the value of the tenths digit in 1.44?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.
E4

What is the value of the tenths digit in 2.39?

Need a hint?
  • Count places right of the point.
  • Each place is ten times smaller.