NZ Level 3
Checking Reasonableness of Fraction Sums I

## Interactive practice questions

Rosey is working on a problem and has to calculate $\frac{1}{22}+\frac{15}{16}$122+1516. She says the answer is about $1$1. Let’s see if her estimate is reasonable.

a

Let’s look at $\frac{1}{22}$122. Which value below is the best estimate for $\frac{1}{22}$122?

$2$2

A

$\frac{1}{2}$12

B

$0$0

C

$1$1

D

$2$2

A

$\frac{1}{2}$12

B

$0$0

C

$1$1

D
b

Now let’s look at $\frac{15}{16}$1516. Which value below is the best estimate for $\frac{15}{16}$1516?

$\frac{1}{2}$12

A

$1$1

B

$2$2

C

$0$0

D

$\frac{1}{2}$12

A

$1$1

B

$2$2

C

$0$0

D
c

Rewrite the fraction sum using the rounded values. Do not add the values together.

d

Calculate the sum $0+1$0+1.

e

Is Rosey's estimate reasonable?

Yes

A

No

B

Yes

A

No

B
Easy
Approx a minute

Hermione is working on a problem and has to calculate $\frac{15}{16}+\frac{11}{12}$1516+1112. She says the answer is about $2$2. Let’s see if her estimate is reasonable.

Laura is working on a problem and has to calculate $\frac{19}{39}+\frac{32}{65}$1939+3265. She says the answer is about $1$1. Let’s see if her estimate is reasonable.

Robert is working on a problem and has to calculate $\frac{1}{22}+\frac{1}{30}$122+130. He says the answer is a very small number. Let’s see if his estimate is reasonable.

### Outcomes

#### NA3-1

Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.