Decimals & Percents · Divide decimals · 4.4

Divide & round.

Sometimes a quotient needs rounding. Divide far enough to see the rounding digit, then round to the asked-for place. Keep dividing past the point as needed.

01 / THE IDEA

See it work.

Watch the method

Divide & round

2.5 ÷ 0.4 = 6.25.

1 / 2
2.5÷0.42.5 \div 0.4
1

Make the divisor whole

Shift both points 1 place(s) right so you divide by a whole number.

2.5÷0.42.5 \div 0.4
2

Divide

Now divide normally.

=6.25= 6.25
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.

Carry the division on

Add zeros after the decimal and keep dividing until you can round to the required place.

Why it works

2.5 ÷ 0.4 = 6.25.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Divide 3.6 ÷ 0.4

1

Make the divisor whole

Shift both points 1 place(s) right so you divide by a whole number. 3.6 ÷ 0.4

2

Divide

Now divide normally. = 9

EX 2medium

Divide 2.25 ÷ 0.25

1

Make the divisor whole

Shift both points 2 place(s) right so you divide by a whole number. 2.25 ÷ 0.25

2

Divide

Now divide normally. = 9

EX 3hard

Divide 2.4 ÷ 0.4

1

Make the divisor whole

Shift both points 1 place(s) right so you divide by a whole number. 2.4 ÷ 0.4

2

Divide

Now divide normally. = 6

04 / COMMON TRAPS

Where students slip.

Trap

Stopping the division too early.

Fix

Go one place past the rounding place.

Trap

Rounding the wrong digit.

Fix

Use the digit just past your place.

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

Divide 3 ÷ 0.5

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
C2

Divide 1.75 ÷ 0.25

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
C3

Divide 0.75 ÷ 0.25

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
C4

Divide 3.2 ÷ 0.4

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
Apply

Apply (4)

A1

Divide 2.25 ÷ 0.25

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
A2

Divide 0.5 ÷ 0.25

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
A3

Divide 2 ÷ 0.4

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
A4

Divide 0.6 ÷ 0.2

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
Extension

Extension (4)

E1

Divide 1.5 ÷ 0.25

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
E2

Divide 2 ÷ 0.5

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
E3

Divide 4.5 ÷ 0.5

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.
E4

Divide 0.8 ÷ 0.2

Need a hint?
  • Keep dividing past the point.
  • Round at the required place.