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Decimal Place Value Fun!

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Decimal Place Value Fun!

Aotearoa’s junior robotics team is preparing for a distance challenge. Use your decimal skills to check their measurements, compare results and solve the team’s mini-puzzles. Show working where it helps.

Read the measurements

Use the place-value chart for Questions 1 and 2. Each digit belongs in the column matching its value.

Tens

Ones

Decimal point

Tenths

Hundredths

Thousandths

1.The robot records a distance of 45.82 metres. What is the value of the digit 8 in this number?

2.Read row B in the chart. Write the decimal number it shows, then state the value of its digit 6.

3.A sensor reads seven and thirty-four hundredths. Which decimal matches the reading?

7.034
7.34
7.304
0.734

Compare and calculate

Use place value to reason carefully. A zero can hold a place even when it does not change the value of a number.

4.Three robots travel 2.48 m, 2.408 m and 2.84 m. Use the number line to help order the distances from shortest to longest.

5.A teammate says, “2.6 is smaller than 2.58 because 6 is smaller than 58.” Explain why this is incorrect, then write the two numbers using the same number of decimal places to compare them.

6.The course is 3.45 metres long. A robot completes 100 course-lengths. Calculate 3.45 × 100 metres.

7.A battery cable is 8.7 metres long. It is cut into 10 equal pieces. How long is each piece?

8.The team’s final run is 6.738 metres. Round this distance to the nearest hundredth of a metre. Use the number line to think about which hundredth it is closest to.

Use decimals in the real world

The team stops at a community shop before the final challenge. Prices are in New Zealand dollars.

Item

Price (NZ$)

Apple

1.25

Yoghurt

2.40

Muesli bar

1.80

9.A teammate buys one yoghurt and one apple from the snack-bar price list and pays with a NZ$5 note. How much change should they receive?

10.The snack-bar total for one apple and one muesli bar is NZ$3.05. Decide whether this statement is true or false, and show the addition that proves your answer.