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NUMBERS TO 10000
Look at the picture. Where do you come across numbers greater than 1,000 in everyday life?
{{exercise_number}}. What can possibly be the mass of the following vehicles? Circle the correct answers.
100 kg
1,000 kg
10,000 kg
100 kg
1,000 kg
10,000 kg
100 kg
1,000 kg
10,000 kg
1,000
one
thousand
2,000
two
thousand
3,000
three
thousand
4,000
four
thousand
5,000
five
thousand
6,000
six
thousand
7,000
seven
thousand
8,000
eight
thousand
9,000
nine
thousand
10,000
ten
thousand
{{exercise_number}}. How much are the notes and coins worth? Connect the right amounts.
1,251
four thousand three hundred and twelve forints
4,312
three thousand four hundred and twenty four forints
3,424
one thousand two hundred and fifty one forints
Numbers are written down in the order they are read. For example 1,234 is read as ‘one thousand two hundred and thirty-four’.
{{exercise_number}}.
a) Write these numbers down with numerals.
four thousand six hundred and twelve:
one thousand five hundred and thirty-six:
b) Write these numbers down with words.
8,462:
1,963:
7,031:
2,470:
4612
9063
eight thousand four hundred and sixty-two
one thousand nine hundred and sixty-three
seven thousand and thirty-one
two thousand four hundred and seventy
{{exercise_number}}. Fill in the missing numbers.
100
200
300
400
500
600
700
800
900
1,000
1,100
2,100
3,100
4,100
5,100
6,100
7,100
8,100
9,100
2,200
1,500
1,600
1,700
2,000
3,300
3,700
4,000
2,900
2,800
2,300
2,400
2,500
4,400
4,600
4,900
5,200
6,200
8,200
9,200
7,300
7,400
8,400
5,400
6,500
8,500
9,500
5,600
7,600
6,700
8,700
5,800
7,800
9,800
7,900
6,000
7,000
9,000
10,000
b) What numbers are in the following positions?
row 4 column 8:
row 6 column 2:
row 3 column 5:
row 7 column 1:
c) In which positions can you find the following numbers?
: row
: row
: row
: row
column
column
column
column
2,300
7,700
6,800
8,100
6,500
7,800
4,000
d) Fill in the missing numbers with the help of the table.
e) What numbers do you arrive at if you follow the arrows in the table above?
3,200
5,000
4,500
6,900
1,200
3,200
7,200
4,200
1,300
4,300
5,300
6,300
8,300
9,300
1,400
3,400
6,400
9,400
3,500
4,500
5,500
7,500
2,600
3,600
6,600
8,600
9,600
2,700
4,700
5,700
7,700
9,700
1,800
3,800
4,800
6,800
8,800
1,900
3,900
5,900
6,900
8,900
9,900
3,000
5,000
8,000
3,800
5,200
2,500
6,100
3
3
8
7
7
8
9
1
5,400
6,400
6,600
7,500
5,600
7,600
6,700
4,800
4,900
5,800
6,000
5,400
6,800
8,000
4,000
{{exercise_number}}. Count aloud.
a) By 100s from 4,200 to 6,500;               5,800 to 10,000;                7,200 to 4,600.
b) By 200s from 3,200 to 6,600;               1,700 to 5,100;                    8,600 to 4,000.
c) By 500s from 1,000 to 7,500;                9,500 to 2,000;                   4,300 to 8,800.
{{exercise_number}}. Find the rules and continue the sequences with 10 terms.

a) 2,300; 2,350; 2,400; ...          b) 6,000; 5,950; 5,900; ...           c) 5,400; 5,420; 5,440; ...

d) 7,680, 7,660; 7,640; ...          e) 4,010; 4,020; 4,030; ...            f) 8,560; 8,550; 8,540; ...

{{exercise_number}}. Fill in the missing numbers.
a)
b)
467
468
3,468
3,467
472
475
3,472
814
813
808
806
2,814
2,813
2,809
469
470
471
473
474
476
3,469
3,470
3,471
3,473
3,474
3,475
3,476
812
811
810
810
809
807
805
2,812
2,811
2,810
2,808
2,807
2,806
2,805
{{exercise_number}}. Find the rules and continue the sequences with 10 terms.

a) 2,341; 2,342; 2,343; ...        b) 6,095; 6,096; 6,097; ...           c) 5,996; 5,997; 5,998; ...

d) 7,676; 7,675; 7,674; ...      e) 4,005; 4,004; 4,003; ...            f) 8,563; 8,562; 8,561; ...

{{exercise_number}}. Fill in the missing numbers.
2,450
2,451
2,461
1,764
1,755
2,342
2,353
1,587
1,597
6,423
6,442
2,452
2,470
2,472
1,753
1,765
1,774
2,352
2,363
2,364
2,374
1,576
1,585
1,586
1,578
1,588
6,422
6,433
6,434
6,443
{{exercise_number}}. Write down the following numbers.
a) numbers between 3,890 and 3,910;                b) odd numbers between 8,710 and 8,740;
c) numbers between 7,895 and 7,882;                d) even numbers between 4,680 and 4,650
{{exercise_number}}. The summer Olympic Games are held every 4 years. Fill in the table with the correct years. At which Olympics did the athletes of your country win the most gold metals?
Moscow
Los Angeles
Seoul
Barcelona
Atlanta
Sydney
Athens
1980
2000
1984
1988
1992
1996
2004
{{exercise_number}}. Use numbers to put the bicycles in a chronological order. Start with the oldest.
1817
1882
1861
1910
1884
1
3
2
5
4
{{exercise_number}}. a) Write the marked numbers in the boxes.
13
130
1300
0
10
20
30
40
50
60
70
80
90
100
0
100
200
300
400
500
600
700
800
900
1,000
0
1,000
2,000
3,000
4,000
5,000
6,000
7,000
8,000
9,000
10,000
34
67
91
340
670
910
3400
6700
9100
43
52
78
430
520
780
4,300
5,200
7,800

b) Mark the positions of the following numbers on the number lines above.

  43;  430;  4,300;      78;  780;  7,800;     52;  520;  5,200

{{exercise_number}}. a) Determine the intervals on the number lines. Write the marked numbers in the boxes. 
2,200
2,500
3,450
3,500
6,540
6,550
2300
2700
3100
3470
3510
3550
6541
6545
6549
2,900
3,100
3,440
3,560
6,552
6,543

b) Mark the following numbers on the appropriate number line.

3,100;   3,440;   2,900;   3,560;   6,552;   6,543

{{exercise_number}}. Make number lines and mark the following numbers on them. 

a) 3,000; 4,000; 7,000; 10,000;                           b) 4,300; 4,500; 4,600; 5,100;

c) 6,580; 6,581; 6,589; 6,590;                              d) 7,000; 7,050; 7,200; 7,350;

{{exercise_number}}. Mark the approximate position of the numbers on the number lines.
3,070
3,180
3,310
3,370
3,460
3,540
4,750
4,840
4,910
5,140
5,190
5,280
2,700
3,100
3,600
4,200
4,700
5,400
3,000
3,100
3,200
4,700
4,800
4,900
2,000
3,000
4,000
{{exercise_number}}. a) Find numbers whose places are on the thick segments of the number lines. List 3 numbers for each thick segment.
3,500
4,000
6,600
6,800
7,250
7,260
A:
B:
C:
D:
E:
F:
A
B
C
D
E
F
,
,
,
,
,
,
,
,
,
,
,
,
4000
4250
4500
5500
5600
6000
7000
7100
7200
7600
7700
7800
7240
7245
7250
7270
7275
7280
4,500
5,500
6,000
7,000
7,200
7,600
7,800
7,270
7,280
b) Use relation signs to show which numbers are on the thick segments of the number lines. For example: 4,000 \latex{\leqq} A \latex{\leqq} 4,500 
{{exercise_number}}. Mark the following numbers on the number line. 

a) 3,200 < K < 3,600;     4,000< L < 4,200 

Since K cannot be 3200 and 3600, these numbers are marked with a circle.

K
3,000
3,200
6,400
6,450
4,740
4,750
6,350 < M < 6,450;   6,500 < N < 6,600
4,760 < P < 4,770;   4,780 < R < 4,800
M
N
P
R
L
b)
c)
{{exercise_number}}. Count by ones.

a) 3,996; 3,997; ... 4,006;        b) 7,997; 7,998; ... 8,007;        c) 9,005; 9,004; ... 8,995;

{{exercise_number}}. Which numbers make the inequalities true?
a) 2,876 <    < 2,883;
b) 5,789 <   < 5,812;
c) 4,007 >   > 3,997
{{exercise_number}}. Fill out the tables.
less than the number
the number
1 less
10 less
100 less
1,000 less
4,700
5,999
6,000
the number
greater than the number
1 more
10 more
100 more
1,000 more
4,700
5,999
6,000
4,699
4,690
4,600
3,700
5,998
5,989
5,899
4,999
5,999
5,990
5,900
5,000
4,701
4,710
4,800
5,700
6,000
6,009
6,099
6,999
6,001
6,010
6,100
7,000
{{exercise_number}}. a) Use numerals to write down the amounts displayed with toy money.
Th +
H +
T +
O
Th +
H +
T +
O
Th +
H +
T +
O
b) Break up the numbers into the sums of thousands, hundreds, tens and ones with the help of toy money.
5,462 =
4,758 =
Th +
H +
T +
O
Th +
H +
T +
O
Th +
H +
T +
O
Th +
H +
T +
O
9,462 =
3,719 =
5
3
1
4
5314
3
2
4
1
7
1
3
2
3241
7132
5
4
6
2
4
7
5
8
9
4
6
2
3
7
1
9
digit
place
value
4
thousands
7
4,000
4 \latex{ \times } 1000
hundreds
700
7 \latex{ \times } 100
1
tens
10
1 \latex{ \times } 10
2
ones
2
2 \latex{ \times } 1
4, 12
7
numeral:
place:
value:
700
7
hundreds
We can write numbers with letters, or using the digits; 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. These numbers are called numerals. The value of the numerals depends on their place.

For example, in the case of 4,712:
{{exercise_number}}.
a)
  b)
Break up the numbers into the sum of Th, H, T and O.
Write the numbers in the table.

• seven thousand five

   hundred and twenty-seven

• three thousand two

   hundred and eight

• one thousand nine

   hundred and fifty-one

• two thousand four

   hundred and sixteen

TTh
Th
H
T
O
7
5
2
7
7,000+500+20+7
3,000+200+0+8
1,000+900+50+1
2,000+400+10+6
3
2
0
8
1
9
5
1
2
4
1
6
{{exercise_number}}. Write the missing numbers on the cards.
7
4
5
6
4
3
6
8
2,000
5,000
300
100
50
30
6
1
=
=
=
=
+
+
+
+
+
+
+
+
+
+
+
+
7,000
400
50
6
4,000
300
60
8
2
3
5
6
5
1
3
1
{{exercise_number}}. Break up the numbers in two different ways, according to the sample.

4,372 = 4 Th + 3 H + 7 T + 2 O = 4 \latex{ \times } 1,000 + 3 \latex{ \times } 100 + 7 \latex{ \times } 10 + 2 \latex{ \times } 1

2,973;   5,618;   9,276;   1,857;   6,432;   4,419

{{exercise_number}}. Stack the numbers by aligning the ones place.

a) fifty-four, one hundred and ninety-six, eight thousand one hundred and seventy-nine, ten thousand, nine hundred and sixteen

b) nine thousand eight hundred and twelve, three hundred and sixty-seven, ninety-two, eight, four thousand one hundred and fifty-one

{{exercise_number}}. Write the place and value of the digit 8 underneath each number.
4
7
8
2
8
1
2
5
2
3
6
8
6
8
6
4
8
0
1
2
place:
value:
tens
thousands
ones
hundreds
thousands
80
8000
8
800
8000
{{exercise_number}}. Write four 4-digit numbers to fit the statements.
a) The value of 7 is    7,000:
The value of 3 is 300:
The value of 4 is 40:
The value of 7 is 7:
7000,
7623,
7814,
7905
1300,
2310,
4351,
7319
2540,
3642,
5647,
7541
1007,
2537,
4817,
6247

b) Using 4-digit numbers, write 5 examples for each of the following:

  • One of the digits is a 0.
  • The same digit stands in the ones and the thousands place.
  • All digits are odd numbers.
  • An even number is in the hundreds place, and the digit 3 is in the tens place.
{{exercise_number}}. 
  1. Write down those 4-digit numbers in which the same numerals stand at each place.
  2. What are the smallest and the greatest 4-digit numbers in which the sum of the digits is 3?
smallest:
greatest:
1002
3000
{{exercise_number}}.
In a 4-digit number the hundreds digit is 6 and the tens digit is 4. The digits at the ones and the thousands places are not known. Write the correct letter in front of the statements.

     possible,      certain,      impossible.

A:
B:
C:
It is an even number.
The number is 3,462.
The number is less than 1,000.
The number is greater than 1,000.
All 4 digits are even numbers.
The number is greater than 5,000.
A
A
C
C
A
B
{{exercise_number}}. What number have I thought of?
a) 12 T + 6 O + 8 H + 4 Th =
3 O + 15 H + 2 Th + 4 T =
4 Th + 17 H + 6 T =
8 Th + 15 O + 4 H + 6 T =
b) Which digit appears in each of these numbers?
4926
3543
8475
1764
4
Which number is greater?
b)
a)
Of two natural numbers the greater is the one with more digits:
4,376 > 945, because 4,376 has 4 digits, but 945 has only 3 digits.
Of two 4-digit natural numbers the greater is the one in which the thousands digit is greater:
  ,482 >    ,978, because 5 thousands > 3 thousands.
If the thousands digits are the same, then the greater number is the one in which the hundreds digit is greater:
7,  35  > 7,  69, because 7 thousands = 7 thousands, and 6 hundreds > 2 hundreds.
If the thousands and the hundreds digits are the same as well, then the greater number is the one in which the tens digit is greater:
4,5  6 < 4,5  2, because 4 thousands = 4 thousands, 5 hundreds = 5 hundreds, and 3 tens < 8 tens.
If the thousands, the hundreds and the tens digits are the same as well, then the greater number is the one in which the ones digit is greater:
1,97   < 1,97  , because 1 thousands = 1 thousands, 9 hundreds = 9 hundreds, 7 tens = 7 tens, and 2 ones < 5 ones.
5
3
6
2
3
8
2
5
{{exercise_number}}. Write the correct relation symbols between the numbers.
4000
1000
4500
2300
6000
600
1800
2700
5497
3456
2624
8124
6541
6358
2184
2541
1259
1215
3051
3010
4638
4639
248
2248
<
>
>
<
>
<
>
<
>
>
<
<
{{exercise_number}}.
a) Arrange the numbers in ascending order.
1,768; 5,634; 3,465; 978; 7,186; 3,456
7,806; 1,005; 6,719; 1,125; 7,012; 9,176
b) Arrange the numbers in descending order.
5,568; 4,972; 9,427; 5,586; 556; 3,154; 2,749
653; 4,653; 7,053; 1,897; 4,135; 8,000
978<1768<3456<3465<5634<7186
1005<1125<6719<7012<7806<9176
9427>5586>5568>4972>3154>2749>556
8000>7053>4653>4135>1897>653
{{exercise_number}}. What numbers should be substituted for the letters to make the relations true?
4,
a
7
b
4,
6
7
2
3,
5
6
2
3,
c
6
2
d,
0
1
7
4,
0
1
7
=
>
a =
b =
c :
d :
\latex{\geqq}
6
2
4,3,2,1,0
4,5,...,9
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