Decimals

NZ Level 5

Divide by decimals

Lesson

Remember!

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

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.

**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.

**Evaluate: **$5.23\div0.4$5.23÷0.4

**Think: **We 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

Evaluate $43\div8$43÷8.

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

Evaluate $251.439\div3$251.439÷3

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

Understand operations on fractions, decimals, percentages, and integers