How to Divide by 10s, 100s, 1000s?
Concepts Explained
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.
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
= (400 + 60) ÷ 10
= (400 ÷ 10) + (60 ÷ 10)
= 40 + 6
= 46
Quite simply,
460 ÷ 10
= 46 tens ÷ 10
= 46
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.
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
= (4000 + 60) ÷ 100
= (4000 ÷ 100) + (600 ÷ 100)
= 40 + 6
= 46
Quite simply,
4600 ÷ 100
= 46 hundreds ÷ 100
= 46
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.
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
= (40000 + 6000) ÷ 1000
= (40000 ÷ 1000) + (6000 ÷ 1000)
= 40 + 6
= 46
Quite simply,
46000 ÷ 1000
= 46 thousands ÷ 1000
= 46
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
= 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
= 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
= 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
≈ 800 ÷ 20
= 800 ÷ (2 × 10)
= 800 ÷ 2 ÷ 10
= (800 ÷ 2) ÷ 10
= 400 ÷ 10
= 40
782 ≈ 800
and
23 ≈ 20
and
23 ≈ 20
b) 9123 ÷ 32
≈ 9000 ÷ 30
= 9000 ÷ (3 × 10)
= 9000 ÷ 3 ÷ 10
= (9000 ÷ 3) ÷ 10
= 3000 ÷ 10
= 300
≈ 9000 ÷ 30
= 9000 ÷ (3 × 10)
= 9000 ÷ 3 ÷ 10
= (9000 ÷ 3) ÷ 10
= 3000 ÷ 10
= 300
9123 ≈ 9000
and
32 ≈ 30
and
32 ≈ 30