1. Place Value and Decimals 1 – Objectives
Explore the Place Value (PV) chart from thousands to hundredths;
Carry out PV addition and subtraction.
Key Stage 3 objective:
Understand and use place value for integers of any size.
You will need:
Mini whiteboards or students’ exercise books.
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2. PV and Decimals 1 – Mastered it?
1. What is the value of 7 in each of these numbers?
270
7345
6.7
9.17
714.68
2. Write the numbers above in words.
Read the numbers aloud for the benefit of any students for whom reading English is an issue.
Two hundred and seventy
Seven thousand three hundred and forty five
Six point seven OR six and seven tenths
Nine point one seven OR nine and seventeen hundredths
Seven hundred and fourteen point six eight OR seven hundred and fourteen and sixty eight hundredths
Students record on mini whiteboards or in back of exercise books.
Answers:
a) 70, b) 7000, c) 0.7, d) 0.07, e) 700
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3. PV and Decimals 1 – Mastered it?
Complete the addition pyramid
What happens if you change the position of numbers in the bottom row of the pyramid?
Create a number pyramid with a top number 5679.
Students record on mini whiteboards or in the back of exercise books.
Answers:
Middle two numbers 1347 and 1992
Top number 3339
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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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