 In order to change 0.023 to 0.23, we multiply by 10.

# Decimal Numbers 3

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Decimal numbers contain decimal points, on the left of which are units and on the right tenths, hundredths and thousandths. We use decimal numbers as an alternative to fractions to describe numbers that are smaller than a unit. For example, the fraction 18 could also be written as 0.125. Here we have 1 tenth, 2 hundredths and 5 thousandths. Decimal numbers make addition, subtraction, multiplication and division of fractions much easier. For this reason we have decimal measurements like meters and kilos which all use tenths, hundredths and thousandths.

1.
What is the figure 8 worth in 2.089?
8 units
8 hundredths
8 tenths
8 thousandths
2.089 is 2 units, 0 tenths, 8 hundredths and 9 thousandths
2.
Which is the largest of these numbers?
0.3
0.003
0.033
0.03
310 is larger than 3100, 331,000 or 31,000
3.
Which is a decimal fraction halfway between 6.52 and 6.53?
6.55
6.521
6.525
6.531
There are 10 thousands in a hundredth so half of a hundredth is 5 thousandths
4.
What does the digit 1 represent in 0.251?
1 tenth
1 thousandth
1 unit
1 hundredth
Remember - tenths, hundredths, thousandths
5.
How is 0.023 changed to 0.23?
Multiply by 10
Divide by 100
Divide by 10
Multiply by 100
When we multiply by 10 the digits move one place to the left
6.
What is the next number in the sequence 0.007, 0.008, 0.009?
0.001
0.1
0.01
1
The numbers are going up by 0.001, or 11,000 every time
7.
Which is the smallest of these numbers?
0.001
0.1
0.01
0.011
11,000 is less than 111,000, 1100 or 110
8.
Which is the decimal fraction equivalent to nine and two thousandths?
9.002
9.2
9.02
0.092
Units are on the left of the decimal point
9.
How is 0.7 changed to 0.007?
Multiply by 10
Divide by 100
Divide by 10
Multiply by 100
When we divide by 100 we move the digits two places to the right
10.
What is 1.23m + 63cm?
1.86m
74.23m
7.53m
186m
Convert the cm into meters and you will have 1.23 + 0.63 giving 1.86m
Author:  Amanda Swift