## How to Divide by 10s, 100s, 1000s?

Practice Unlimited Questions

#### 1. Divide 460 by 10.

Dividing by 10

When you divide a number by 10, the value of each of its digits decreases ten times. Hence, the value of the whole number decreases ten times.
460  ÷  10
=  (400 + 60)  ÷  10
=  (400  ÷  10)  +  (60  ÷  10)
=  40  +  6
=  46
Quite simply,
460  ÷  10
=  46 tens  ÷  10
=  46

#### 2. Divide 4600 by 100.

Dividing by 100

When you divide a number by 100, the value of each of its digits decreases hundred times. Hence, the value of the whole number decreases hundred times.
4600  ÷  100
=  (4000 + 60)  ÷  100
=  (4000  ÷  100)  +  (600  ÷  100)
=  40  +  6
=  46
Quite simply,
4600  ÷  100
=  46 hundreds  ÷  100
=  46

#### 3. Divide 46000 by 1000.

Dividing by 1000

When you divide a number by 1000, the value of each of its digits decreases thousand times. Hence, the value of the whole number decreases thousand times.
46000  ÷  1000
=  (40000 + 6000)  ÷  1000
=  (40000  ÷  1000)  +  (6000  ÷  1000)
=  40  +  6
=  46
Quite simply,
46000  ÷  1000
=  46 thousands  ÷  1000
=  46

#### 4. If 430000 divided by 2 = 215000, find the value of: a)  430000 divided by 20 b)  430000 divided by 200 c)  430000 divided by 2000

a)        430 000  ÷  20
=  430 000  ÷  2  ÷  10
=  (430 000  ÷  2)  ÷  10
=  215 000  ÷  10
=  21 500
b)        430 000  ÷  200
=  430 000  ÷  (2  ×  100)
=  430 000  ÷  2  ÷  100
=  (430 000  ÷  2)  ÷  100
=  215 000  ÷  100
=  2150
c)        430 000  ÷  2000
=  430 000  ÷  (2  ×  1000)
=  430 000  ÷  2  ÷  1000
=  (430 000  ÷  2)  ÷  1000
=  215 000  ÷  1000
=  215

#### 5. Estimate the value of: a)  782 divided by 23 b)  9123 divided by 32

a)        782  ÷  23
≈  800  ÷  20
=  800  ÷  (2  ×  10)
=  800  ÷  2  ÷  10
=  (800  ÷  2)  ÷  10
=  400  ÷  10
=  40
782  ≈  800
and
23  ≈  20
b)        9123  ÷  32
≈  9000  ÷  30
=  9000  ÷  (3  ×  10)
=  9000  ÷  3  ÷  10
=  (9000  ÷  3)  ÷  10
=  3000  ÷  10
=  300
9123  ≈  9000
and
32  ≈  30