Dividing by decimalsMr. Johnk 2015

• = = • Each of the fractions are equivalent• x = x =• = 1• Any number multiplied by 1 equals that same number!

• means 3 ÷ 4• 3 ÷ 4 can be written

4 3• So when we divide by decimals, we just multiply our divisor by

10, 100, 1,000 or some other power of ten to make it a whole number.

Whatever you multiply your divisor by, you must also do to the dividend!The shortcut is to just move the decimal the same number of places on each number!

divisor dividend

Now just divide 642.4 by 4!

• 64.24 ÷ 0.4

64.240.4●

You multiplied by 10 so the decimal is now between the 2 and 4.

Place the decimal straight up in the quotient

The answer got smaller!

• 525 ÷ 1.25• Should our answer get

bigger or smaller?• 1.25 525 00 ●

●

125 525004

500-250

2

250-

0

●

●

0

0

Decimal out of sight-decimal to the right!

• However many times you move the decimal to the right on the outside, is how many times you have to move it on the inside!

• How many places would you move the decimal in 76.325 ÷ 0.0357?

• The answer is?• 4 places on each number.• You would need to annex a zero behind the 76325

The answer is 2 places! The 0.31 would become 31 and the 87.532 would become 8753.2!

How many places this time?

87.532 ÷ 0.31