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Tenths and Decimals Exploration
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Tenths and Decimals Exploration
At a stargazing night, Georgia and Ngaio record distances and measurements. Complete each mission. Show your working where you can, and remember that a zero can be important in a decimal.
Read and represent tenths
A decimal can show parts of one whole. In 0.6, the 6 is in the tenths place.
1.Georgia’s telescope is set to 0.8 of its full range. Write 0.8 as a fraction with a denominator of 10.
2.The bar is split into 10 equal parts. Shade 3/10 of it, then write the matching decimal.
3.In 4.7, what is the value of the digit 7? Choose the best answer.
- 7 ones
- 7 tenths
- 7 hundredths
- 7 tens
4.Fill the blank with <, > or =: 0.6 ___ 0.60. Explain briefly why.
Use decimals on a number line
The stargazers use decimal readings to compare how clear the sky is.
5.Mark 0.2, 0.5 and 0.9 on the number line. Which reading is closest to 1?
6.Ngaio records three telescope readings: 0.4, 0.8 and 0.3. Write them in order from smallest to largest.
Calculate and explain
Use decimals to solve the stargazers’ practical problems.
7.Georgia walks 1.4 km to the lookout and then another 0.3 km to a clear viewing spot. How far does she walk altogether?
8.A snack costs NZ$2.60 and a drink costs NZ$1.20. What is the total cost?
9.A friend says 0.7 is smaller than 0.65 because 7 is smaller than 65. Is the friend correct? Explain using tenths or hundredths.
10.The temperature display reads 6.8°C. Round this to the nearest whole degree.
11.Write a decimal greater than 0.4 but less than 0.6. Give one possible answer.
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