1. Place Value and Decimals 1 - Objectives
Explore the Place Value (PV) chart from thousands to hundredths;
Carry out PV addition and subtraction.
You will need:
mini whiteboards or student’s exercise books
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2. PV and Decimals 1 – Mastered it?
Write the following numbers as words:
3000 50
0.08
0.5
6.2
809
9032
Read the following and write using figures:
four hundred
seven tenths
eight hundredths
forty five point zero one
nine and two hundredths
three thousand and six
two hundred and seven and nine hundredths
Do read the numbers aloud for the benefit of any students for whom reading English is an issue. Students record on mini whiteboards or in back of books.
Answers:
400, 0.7, 0.08, , 9.02, 3006,
three thousand, fifty, eight hundredths, five tenths, six point two, eight hundred and nine, nine thousand and thirty two
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3. PV and Decimals 1 - Mastered it?
Add each red ringed number in turn to 4,513 (5 different answers)
Students record on mini whiteboards or in back of books.
Answers:
= , = 4520, = 4593, = 5013, = 6513
8965 – 0.8 = , – 3 = 8962, 8965 – 40 = 8925, 8965 – 900 = 8065, 8965 – 7000 = 1965
Subtract each blue ringed number in turn from 8,965
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4. PV and Decimals 1 – Objectives
Explore the Place Value (PV) chart from thousands to hundredths;
Carry out PV addition and subtraction.
If students have demonstrated good understanding, finish here.
Otherwise continue to the direct teaching section.
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5. PV and Decimals 1 – Direct Teaching
What about ‘sixty three point zero nine’?
So, where does the number ‘thirty four point six eight’ sit on the place value grid?
Make one up for a friend using these place value columns…
10s 1s
0.1s
tenths
0.01s
hundredths .
Students could draw their own PV grids and record on mini whiteboards or in back of books.
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6. PV and Decimals 1 - Direct Teaching
hundredths
tenths
ones
tens
hundreds
thousands
The place value chart is a useful reminder of the
value of each digit in a number…
Watch out for students who are unsure what each digit represents in a number; they may need more time using PV charts or using PV cards to make numbers.
So, this number reads:
‘Five thousand, six hundred and thirty nine’
5,639
Where did all the zeros go?
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7. 5,619 PV and Decimals 1 - Direct Teaching 5619 + 3000 8619
What do you need to add to this number to turn the 5 into an 8?
5,619
5619
8619
What is the Place Value of the 3?
NB Changing the 9 into an 8 will require subtraction, not addition…
Answers:
= 8619, then, in any order… +200, +70, -1, e.g = 8819, = 8889, – 1 = 8888
Now let’s change the other digits into 8s using three
separate Place Value calculations.
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8. PV and Decimals 1 - Individual Practice
Have a go at the calculations in each box:
Choose 3 numbers from this box. Write PV calculations to change all their digits into 9s.
8,793
6,864
5,839
6,264
3,225
4,850
3,675
2,703
The second box is slightly harder as it requires subtraction, rather than addition.
Answers:
= 9999, , , ,
8793 – 6571 = 2222, – 4642, – 3617, – 2628,
Choose 3 numbers from this box. Write PV calculations to change all their digits into 2s.
5,039
4,146
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