Step-by-step Maths Level 5: The value of each digit, and the 0 to 1 number line
Part of the Step-by-step Maths Level 5 decimals to tenths and hundredths chapter. Chapter overview · whole chapter on one page
The value of each digit, and the 0 to 1 number line
Each digit after the point has a value. In 4.56, the 5 is 5 tenths (0.5) and the 6 is 6 hundredths (0.06).
On a number line from 0 to 1, the tenths are the big marks and the hundredths are the small marks between them.
Key ideas
- The first digit after the point is tenths.
- The second digit after the point is hundredths.
- Ten hundredths make one tenth.
Method. The first digit after the point is the number of tenths.
- Find the tenths digit. It is the first digit after the decimal point.The digit is 5
- Write its value. 5 tenths is 5/10.5/10 = 0.5
- Write the answer. The value of the tenths digit is 0.1 times the digit.0.5
Check. Check: the first digit after the point is 5, so the value is 5/10 = 0.5.
Watch out. Read the digit after the point as tenths. 4 tenths is 0.4, not 4.
Method. Find the tenths, then count the hundredths beyond them.
- Find the tenths either side. Read the tenths labels to find the gap.The mark is between 0.30 and 0.40
- Count the small steps. Each small step is one hundredth.7 hundredths past 0.30
- Write the decimal. Two places after the point.0.37
Check. Check: 0.37 is 37 hundredths, which is 37/100.
Watch out. There are ten small steps between two tenths marks, so each small step is a hundredth.
Method. Find the tenths, then count the hundredths beyond them.
- Find the tenths either side. Read the tenths labels to find the gap.The mark is between 0.60 and 0.70
- Count the small steps. Each small step is one hundredth.4 hundredths past 0.60
- Write the decimal. Two places after the point.0.64
Check. Check: 0.64 is 64 hundredths, which is 64/100.
Watch out. There are ten small steps between two tenths marks, so each small step is a hundredth.
Watch out
Watch out. The 5 in 4.56 is 0.5, not 5. The value depends on the place it is in.
Exam tip
Grown-up tip. Ask: “How many small steps are between 0.3 and 0.4?” The answer is ten, so each step is a hundredth.
Exercise 7B Practice: digits and the number line
Non-calculatorMethod. Find the tenths, then count the hundredths beyond them.
- Find the tenths either side. Read the tenths labels to find the gap.The mark is between 0.90 and 1.00
- Count the small steps. Each small step is one hundredth.6 hundredths past 0.90
- Write the decimal. Two places after the point.0.96
Check. Check: 0.96 is 96 hundredths, which is 96/100.
Watch out. There are ten small steps between two tenths marks, so each small step is a hundredth.
Method. Find the tenths, then count the hundredths beyond them.
- Find the tenths either side. Read the tenths labels to find the gap.The mark is between 0.90 and 1.00
- Count the small steps. Each small step is one hundredth.9 hundredths past 0.90
- Write the decimal. Two places after the point.0.99
Check. Check: 0.99 is 99 hundredths, which is 99/100.
Watch out. There are ten small steps between two tenths marks, so each small step is a hundredth.
Method. The second digit after the point is the number of hundredths.
- Find the hundredths digit. It is the second digit after the decimal point.The digit is 1
- Write its value. 1 hundredths is 1/100.1/100 = 0.01
- Write the answer. The value is a decimal with the digit in the second place.0.01
Check. Check: in 7.71 the second digit after the point is 1, so the value is 1/100 = 0.01.
Watch out. The value is 0.0 with the digit after it: 0.07, not 0.7.
Method. Find the tenths, then count the hundredths beyond them.
- Find the tenths either side. Read the tenths labels to find the gap.The mark is between 0.20 and 0.30
- Count the small steps. Each small step is one hundredth.6 hundredths past 0.20
- Write the decimal. Two places after the point.0.26
Check. Check: 0.26 is 26 hundredths, which is 26/100.
Watch out. There are ten small steps between two tenths marks, so each small step is a hundredth.
Method. The first digit after the point is the number of tenths.
- Find the tenths digit. It is the first digit after the decimal point.The digit is 2
- Write its value. 2 tenths is 2/10.2/10 = 0.2
- Write the answer. The value of the tenths digit is 0.1 times the digit.0.2
Check. Check: the first digit after the point is 2, so the value is 2/10 = 0.2.
Watch out. Read the digit after the point as tenths. 4 tenths is 0.4, not 4.
Method. The second digit after the point is the number of hundredths.
- Find the hundredths digit. It is the second digit after the decimal point.The digit is 4
- Write its value. 4 hundredths is 4/100.4/100 = 0.04
- Write the answer. The value is a decimal with the digit in the second place.0.04
Check. Check: in 7.44 the second digit after the point is 4, so the value is 4/100 = 0.04.
Watch out. The value is 0.0 with the digit after it: 0.07, not 0.7.
Method. The first digit after the point is the number of tenths.
- Find the tenths digit. It is the first digit after the decimal point.The digit is 6
- Write its value. 6 tenths is 6/10.6/10 = 0.6
- Write the answer. The value of the tenths digit is 0.1 times the digit.0.6
Check. Check: the first digit after the point is 6, so the value is 6/10 = 0.6.
Watch out. Read the digit after the point as tenths. 4 tenths is 0.4, not 4.
Method. The first digit after the point is the number of tenths.
- Find the tenths digit. It is the first digit after the decimal point.The digit is 2
- Write its value. 2 tenths is 2/10.2/10 = 0.2
- Write the answer. The value of the tenths digit is 0.1 times the digit.0.2
Check. Check: the first digit after the point is 2, so the value is 2/10 = 0.2.
Watch out. Read the digit after the point as tenths. 4 tenths is 0.4, not 4.
Method. The first digit after the point is the number of tenths.
- Find the tenths digit. It is the first digit after the decimal point.The digit is 7
- Write its value. 7 tenths is 7/10.7/10 = 0.7
- Write the answer. The value of the tenths digit is 0.1 times the digit.0.7
Check. Check: the first digit after the point is 7, so the value is 7/10 = 0.7.
Watch out. Read the digit after the point as tenths. 4 tenths is 0.4, not 4.
Method. The first digit after the point is the number of tenths.
- Find the tenths digit. It is the first digit after the decimal point.The digit is 8
- Write its value. 8 tenths is 8/10.8/10 = 0.8
- Write the answer. The value of the tenths digit is 0.1 times the digit.0.8
Check. Check: the first digit after the point is 8, so the value is 8/10 = 0.8.
Watch out. Read the digit after the point as tenths. 4 tenths is 0.4, not 4.
Method. The second digit after the point is the number of hundredths.
- Find the hundredths digit. It is the second digit after the decimal point.The digit is 5
- Write its value. 5 hundredths is 5/100.5/100 = 0.05
- Write the answer. The value is a decimal with the digit in the second place.0.05
Check. Check: in 4.35 the second digit after the point is 5, so the value is 5/100 = 0.05.
Watch out. The value is 0.0 with the digit after it: 0.07, not 0.7.
Method. The first digit after the point is the number of tenths.
- Find the tenths digit. It is the first digit after the decimal point.The digit is 7
- Write its value. 7 tenths is 7/10.7/10 = 0.7
- Write the answer. The value of the tenths digit is 0.1 times the digit.0.7
Check. Check: the first digit after the point is 7, so the value is 7/10 = 0.7.
Watch out. Read the digit after the point as tenths. 4 tenths is 0.4, not 4.
Method. The first digit after the point is the number of tenths.
- Find the tenths digit. It is the first digit after the decimal point.The digit is 1
- Write its value. 1 tenths is 1/10.1/10 = 0.1
- Write the answer. The value of the tenths digit is 0.1 times the digit.0.1
Check. Check: the first digit after the point is 1, so the value is 1/10 = 0.1.
Watch out. Read the digit after the point as tenths. 4 tenths is 0.4, not 4.
Method. The first digit after the point is the number of tenths.
- Find the tenths digit. It is the first digit after the decimal point.The digit is 4
- Write its value. 4 tenths is 4/10.4/10 = 0.4
- Write the answer. The value of the tenths digit is 0.1 times the digit.0.4
Check. Check: the first digit after the point is 4, so the value is 4/10 = 0.4.
Watch out. Read the digit after the point as tenths. 4 tenths is 0.4, not 4.
Method. The second digit after the point is the number of hundredths.
- Find the hundredths digit. It is the second digit after the decimal point.The digit is 3
- Write its value. 3 hundredths is 3/100.3/100 = 0.03
- Write the answer. The value is a decimal with the digit in the second place.0.03
Check. Check: in 1.03 the second digit after the point is 3, so the value is 3/100 = 0.03.
Watch out. The value is 0.0 with the digit after it: 0.07, not 0.7.
Method. The second digit after the point is the number of hundredths.
- Find the hundredths digit. It is the second digit after the decimal point.The digit is 7
- Write its value. 7 hundredths is 7/100.7/100 = 0.07
- Write the answer. The value is a decimal with the digit in the second place.0.07
Check. Check: in 5.37 the second digit after the point is 7, so the value is 7/100 = 0.07.
Watch out. The value is 0.0 with the digit after it: 0.07, not 0.7.