Decimals
NZ Level 5
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Divide by decimals
Lesson
Remember!

When we divide a number by a decimal that's less than one, our number will get bigger.  

Change the Divisor to a Whole Number

You've already learnt how to divide decimal numbers by whole numbers so this can be a really useful strategy.

Let's look at an example to explain how this strategy works.

Examples

Question 1

Evaluate$5.6\div0.8$5.6÷​0.8

Think: We can change $0.8$0.8 to a whole number ($8$8) by multiplying in by $10$10. Remember we need to multiply both numbers in our equation by the same value to keep our equation balanced. We could now write our equation as $56\div8$56÷​8, which is $7$7.

Do: $5.6\div0.8=7$5.6÷​0.8=7

 

Make sense? Let's do another example to make sure.

question 2

Evaluate$5.23\div0.4$5.23÷​0.4

ThinkWe can change $0.4$0.4 to a whole number ($4$4) by multiplying it by $10$10. So we need to multiply both numbers in our equation by $10$10. Our equation becomes $52.3\div4$52.3÷​4, which would be $13.075$13.075.

Do$5.23\div0.4=13.075$5.23÷​0.4=13.075

QUESTION 3

Evaluate $43\div8$43÷​8.

QUESTION 4

Evaluate $\frac{3.44}{8}$3.448.

QUESTION 5

Evaluate $251.439\div3$251.439÷​3

QUESTION 6

Evaluate $\frac{0.247}{0.019}$0.2470.019

Outcomes

NA5-3

Understand operations on fractions, decimals, percentages, and integers

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