Place Value

The objectives of this section are to

First note how we write and speak numbers. We'll look at the number 572 641 839

Now we consider rounding numbers.

7451 is 7450 to the nearest 10, since it is nearer to 7450 than to 7460
(see the number line below).

7451 is 7500 to the nearest 100, since it is nearer to 7500 than to 7400.

7451 is 7000 to the nearest 1000, since it is nearer to 7000 than to 8000.

Note

The convention is that '5' rounds up to the nearest 10,
e.g. 35 to the nearest 10 is 40.

1

Write these numbers in words.

(a)

147

Show

One hundred and forty seven
(b)

87

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Eighty seven
(c)

43 219

Show

Forty three thousand, two hundred and nineteen
2

Write each of the following in figures.

(a)

Fifty nine

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59
(b)

Three hundred and eight

Show

308
(c)

Three hundred and eighty

Show

380
(d)

Two hundred and thirty three thousand, four hundred and one

Show

233 401
3

Write 2716 to the nearest

(a)

10

Show

2720
(b)

100

Show

2700
(c)

1000

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3000
4

What is the value of the '6' in each of these numbers?

(a)

167

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'6' means 6 tens = 60
(b)

2006

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'6' means 6 units = 6
(c)

6423

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'6' means 6 thousands = 6000

Write these numbers in words.

(a)
32
(b)
14
(c)
86
(d)
124
(e)
328
(f)
1463
(g)
3000000
(h)
4713000
(i)
3991001

Write each of the following in figures.

(a)
Twenty four
(b)
Eighty six
(c)
Nineteen
(d)
One hundred and twenty
(e)
Three hundred and four
(f)
One thousand and twenty six
(g)
Three million, four hundred thousand
(h)
One thousand and five

Write each of these numbers to the nearest 10.

(a)
89
(b)
45
(c)
72
(d)
12
(e)
9
(f)
2
(g)
4713
(h)
5629
(i)
4755

Write each of these numbers to the nearest 100.

(a)
376
(b)
1417
(c)
24699
(d)
101
(e)
149
(f)
251

Write each of these numbers to the nearest 1000.

(a)
1001
(b)
2500
(c)
3999
(d)
132400
(e)
56471
(f)
55551

A milkman delivered 109865 bottles of milk in one year.
Write the number of bottles to:

(a)
the nearest 100
(b)
the nearest 1000
(c)
the nearest 10
(d)
the nearest 10000

A school has 1256 students. Write this number to:

(a)
the nearest 10
(b)
the nearest 100
(c)
the nearest 1000

Explain what the '9' represents in each of these numbers.

(a)
19
(b)
91
(c)
190
(d)
1971
(e)
19 800
(f)
2190
(g)
9 100 001
(h)
9 001 111
(i)
900 371 423

Place the numbers below in order, with the smallest first.

(a)

147,   222,   316,   47,   32,   1004

, , , , ,
(b)

1472,   3416,   621,   3813,   1471,   15 721

, , , , ,
(c)

6000,   60 000,   3000,   30 000,   4 000 000

, , , ,
(a)

What is the largest possible number you can make using each of these digits once only: 4, 6, 3, 2 and 8?

(b)

What is the smallest number you can make using all the digits in (a)?

(c)

How do your answers change if you can use 0 as well? (if 0 not allowed as the first digit)

Largest:

Smallest:

Rashan says that there are 120 students in his grade at school. If he has rounded the number of students in his grade to the nearest 10, how many students could there be in his grade? (Write all the possible answers.)

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A newspaper report states that 32 000 people watched a football match at the National Stadium in Kingston. The actual number has been rounded to the nearest 1000.

(a)

What is the largest possible number of people that watched the match?

(b)

What is the smallest possible number of people that watched the match?

The table gives the results and attendances for some football matches in the English Premier League. Answer these questions using the table.

(a)

Which match had the largest attendance?

(b)

Find the total attendance at all the matches to the nearest 1000.

(c)

How many more people watched Fulham than watched Cardiff City, to the nearest 100?