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Decimal numbers are fractions represented as tenths.

Decimal Numbers 2 (Easy)

Discover how decimals help describe real-world sizes in this 11 Plus Maths quiz. See how numbers after the point make measurements more exact.

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Fascinating Fact:

The length of a dolphin at 2.6 metres is shorter than an orca at 7.5 metres, decimals help us measure ocean giants precisely.

In 11 Plus Maths, decimals are used to show parts of whole numbers with accuracy. They are vital for comparing values in everyday life, from money to measurements.

  • Decimal Point: A dot used to separate whole numbers from fractions of a whole.
  • Tenths: The first place after the decimal point, showing one part out of ten.
  • Hundredths: The second place after the decimal point, showing one part out of a hundred.
What does the decimal point mean?

The decimal point separates whole numbers from fractional parts. For example, in 3.14, the 3 is the whole number, and .14 shows parts of a whole.

How do you compare decimal numbers?

Line up the decimal points and compare each digit from left to right. Add zeros if needed so both numbers have equal places to compare accurately.

Why are decimals useful in real life?

Decimals are used when precision matters — in money, cooking, construction, and science — helping to measure and calculate accurately.

1 .
What is the value of the 7 in the number 936.274?
7 tenths
7 hundredths
7 thousandths
1 seventh
Decimal numbers are in columns just like ordinary numbers - but backwards! Thousands, hundreds, tens, ones, tenths, hundredths, thousandths
2 .
What are the place positions of the numbers in the decimal parts of the number 0.468?
8 is in the tenths place position, 6 is in the hundredths place position, 4 is in the thousandths place position
0 is in the tenths place position, 4 is in the hundredths place position, 6 is in the thousandths place position
4 is in the tenths place position, 6 is in the hundredths place position, nothing is in the thousandths place position
4 is in the tenths place position, 6 is in the hundredths place position, 8 is in the thousandths place position
There is no 'ones' column after the decimal point - it's tenths first, then hundredths, thousandths etc.
3 .
What is the value of the 9 in the number 756.098?
1 ninth
9 tenths
9 hundredths
9 thousandths
TIP:
The first number to the right of the dp is in the tenths place position, e.g. 0 in 756.098
The second number to the right of the dp is in the hundredths place position, e.g. 9 in 756.098
The third number to the right of the dp is in the thousandths place position, e.g. 8 in 756.098
4 .
What is one-quarter represented as a decimal number?
0.25
0.4
0.5
0.2
100 ÷ 4 = 25, so 1 ÷ 4 = 0.25
5 .
What are the place positions of the numbers in the decimal parts of the number 12.345?
3 is in the tenths place position, 4 is in the hundredths place position, 5 is in the thousandths place position
5 is in the tenths place position, 4 is in the hundredths place position, 3 is in the thousandths place position
4 is in the tenths place position, 5 is in the hundredths place position, 3 is in the thousandths place position
3 is in the tenths place position, 5 is in the hundredths place position, 4 is in the thousandths place position
Decimal numbers are in columns just like ordinary numbers - but backwards! Thousands, hundreds, tens, ones, tenths, hundredths, thousandths
6 .
What is the value of the 4 in the number 234.567?
4 thousandths
4 hundredths
4 tenths
4
There is no 'ones' column after the decimal point - it's tenths first, then hundredths, thousandths etc. But the 4 in 234.567 comes before the dp.
7 .
What is two-quarters represented as a decimal number?
0.125
0.25
0.5
0.75
Two-quarters = one-half. One-half as a decimal is 1 ÷ 2 = 0.5
8 .
What are the place positions of the numbers in the decimal parts of the number 987.654?
4 is in the tenths place position, 5 is in the hundredths place position, 6 is in the thousandths place position
6 is in the tenths place position, 5 is in the hundredths place position, 4 is in the thousandths place position
4 is in the tenths place position, 6 is in the hundredths place position, 5 is in the thousandths place position
6 is in the tenths place position, 4 is in the hundredths place position, 5 is in the thousandths place position
TIP:
The first number to the right of the dp is in the tenths place position, e.g. 6 in 987.654
The second number to the right of the dp is in the hundredths place position, e.g. 5 in 987.654
The third number to the right of the dp is in the thousandths place position, e.g. 4 in 987.654
9 .
What is the value of the 1 in the number 654.321?
10 thousandths
1 thousandth
1 hundredth
1 tenth
Ten thousandths are the same as one-hundredth, and would be shown in decimal as 0.01
10 .
What is three-quarters represented as a decimal number?
0.25
0.5
0.75
0.8
One-quarter is 0.25 so three-quarters is 0.25 + 0.25 + 0.25 = 0.75
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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