WORKSHEET 1A
Name ______________________ Date _____________
Worksheet 1A: The number system
1- Identify the place value for each digit in the number 304.215. One
has been done for you.
Digit Place value
0
1
2
3
4
5
2- Complete the place value diagram. (Normal form to expanded form)
3- Kofi regroups five numbers but two of his answers are wrong.
Which answers are wrong?
A)38.565 = 3856 tenths + 5 thousandths
B) -48.39 = −40 − 8 − 0.3 − 0.09
C)34.079 = 34 + 0.79
D)−56.079 = −50 − 6.079
E) 76.091 = 70 + 6 + 0.09 + 0.001
4- What is 5.28 to the nearest tenth? ____________
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5- Hassan says, ‘I can multiply by 100 by adding two zeros.’
Explain why Hassan is wrong.
6- What is the value of the 7 in 4.678? ____________
7- Write the missing numbers.
a) 8.5 × 1000 = b) 0.79 × 100 =
c )3.78 × 10 = d) 560 ÷ 100 =
e) 363 ÷ 1000 = f) 54.7 ÷ 10 =
8- What decimal number is represented by
9 7 9
20 + 4 + + +
10 100 1000 ? ____________
9- Round these lengths to the nearest meter.
Length (m) Round to nearest meter
8.72 m
1.6 m
6.09 m
4.1 m
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10- The announcer said, ‘Ingrid won the 100-meter race in 13.9 seconds.’
Her time was originally measured to 2 decimal places.
a) What was the slowest time she could have run?
b) What was the fastest time she could have run?
11- Write the missing numbers.
a) × 0.7 = 7 b) 903 ÷ = 9.03
c) × 0.13 = 130 d) 1.3 × = 1300
12 - Write the missing number.
3
16.003= 16 + −−−−−¿ ¿
13- Ollie writes the number 136.25
He writes a second number where the 6 represents a value that is one-
tenth the value of the 6 in his first number.
Draw a ring around the value of the 6 in Ollie’s second number.
six hundredths six tenths six ones six tens
14- Write the largest number from the list that rounds to 10 when
rounding to the nearest whole number. ____________
10.55 9.99 10.9 10.45 10.5 9.5 9.9
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`15- Here are four numbers.
5.55 55.5 555 550 55 500
Which of these numbers is 100 times smaller than 5550? ____________
16- A thousand times a number is 3500.
What is the number? ____________
17- Complete the following
(a) 8 x 10 --------------------------------------
(b) 16 x 100 --------------------------------------
( c) 1000 x17 --------------------------------------
( d) 3.4 X 10 --------------------------------------
(e ) 0.2 X 100 --------------------------------------
(f) 49.1 X 1000 --------------------------------------
(g) 70 ÷ 10 --------------------------------------
(h) 6000 ÷ 100 --------------------------------------
(I ) 17 ÷ 10 --------------------------------------
(j) 28900 ÷ 1000 --------------------------------------
(k) 0.84 ÷ 10 --------------------------------------
--------------------------------------
(l) 93 ÷ 100
(m) 2.5 × 100 --------------------------------------
(n) 1.8 × 10 --------------------------------------
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(o) 0.2 × 100 --------------------------------------
(P) 0.06 × 10 --------------------------------------
(q) 93 ÷ 100 --------------------------------------
(r ) 98 ÷ 10 --------------------------------------
(s) 51.4 ÷ 10 --------------------------------------
18- An egg box can hold 10 eggs. How many eggs are there in 45 full
boxes? -----------------------------eggs
19- Jacob is paid £10 an hour to deliver newspapers. His monthly pay for
October was £380
How many hours did hours did Jacob work in October?
hours
Shown below are some questions and answers.
20- Match the correct questions and answers. The first one has been
completed for you.
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21- Fill in the missing numbers
(a)
(b)
(c)
(d)
(e)
(f)
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22- (a) Work out 942 x10
( b) Write down the value of the digit 4 in the answer to (a)
23- (a) 931 x 100 =
(b) Write down the value of the digit 3 in the answer to
(24) (a) 125000 ÷ 100=
Write down the value of the digit 5 in the answer
(25) Work out twenty thousand divided by one million
(26) A coffee shop sells cups of coffee in 0.4-liter cups. In one day,
they sell 100 cups of coffee.
How many liters of coffee do they sell?
.........................
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(27) Carly needs 42000 blocks of Lego to build a large castle. The
Lego blocks are sold in boxes of 100.
How many boxes of Lego does she need?
(29) Multiply the following numbers by 10, 100 and 1000 to
complete the table.
x 10 x 100 x 1000
5.7
23.02
0.92
0.306
24.67
0.003
1893.852
600.001
(30) Divide the following numbers by 10, 100 and 1000 to complete
the table.
÷ 10 ÷ 100 ÷ 1000
43
219
703
64.8
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2560
4.08
215.9
9.99
450.04
(31) Complete the following table.
x 10 ÷ 10 ÷ 100
507
17.6
0.063
2037
0.193
6.45
0.501
93.6
7.18
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