Step-by-step Maths Level 5: Decimals to tenths
Part of the Step-by-step Maths Level 5 place value to a million and decimals to tenths chapter. Chapter overview · whole chapter on one page
Decimals to tenths
A decimal point separates the whole number from the parts. The first digit after the point is the number of tenths.
3.4 means 3 whole ones and 4 tenths: 3 + 4/10. Between two whole numbers there are ten tenths.
Key ideas
- The first digit after the decimal point is tenths.
- A tenth is 0.1, and 4 tenths is 0.4.
- Ten tenths make one whole.
Method. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.3
- Write the tenths after a decimal point. 4/10 is 4 tenths, so the digit 4 goes after the point.3.4
- Write the answer. A decimal point separates the whole number from the tenths.3.4
Check. Check: 4/10 is 0.4, and 3 + 0.4 = 3.4.
Watch out. The tenths digit is one place after the decimal point.
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 digit is a decimal less than one.0.4
Check. Check: 0.4 + 3 = 3.4.
Watch out. Do not write the digit as a whole number. 4 in 3.4 is 0.4, not 4.
Method. Count the tenths from the lower whole number to the dot.
- Find the whole numbers either side. The dot is between 2 and 3.2 and 3
- Count the tenths from the lower whole number. Each small step between two whole numbers is one tenth.6 tenths after 2
- Write the decimal. Whole number first, then the point and the tenths.2.6
Check. Check: 2.6 is 6 steps past 2, and there are 10 steps to 3.
Watch out. There are ten tenths between two whole numbers. Count the small steps, not the big ones.
Watch out
Watch out. The 4 in 3.4 is worth 0.4, not 4. Read the digit after the point as tenths.
Exam tip
Grown-up tip. Use coins or a ruler marked in tenths. Ten 1p coins make 10p, which is one whole pound in tenths of pounds.
Exercise 1D Practice: tenths
Non-calculatorMethod. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.8
- Write the tenths after a decimal point. 1/10 is 1 tenths, so the digit 1 goes after the point.8.1
- Write the answer. A decimal point separates the whole number from the tenths.8.1
Check. Check: 1/10 is 0.1, and 8 + 0.1 = 8.1.
Watch out. The tenths digit is one place after the decimal point.
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 digit is a decimal less than one.0.8
Check. Check: 0.8 + 4 = 4.8.
Watch out. Do not write the digit as a whole number. 4 in 3.4 is 0.4, not 4.
Method. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.6
- Write the tenths after a decimal point. 1/10 is 1 tenths, so the digit 1 goes after the point.6.1
- Write the answer. A decimal point separates the whole number from the tenths.6.1
Check. Check: 1/10 is 0.1, and 6 + 0.1 = 6.1.
Watch out. The tenths digit is one place after the decimal point.
Method. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.2
- Write the tenths after a decimal point. 6/10 is 6 tenths, so the digit 6 goes after the point.2.6
- Write the answer. A decimal point separates the whole number from the tenths.2.6
Check. Check: 6/10 is 0.6, and 2 + 0.6 = 2.6.
Watch out. The tenths digit is one place after the decimal point.
Method. Count the tenths from the lower whole number to the dot.
- Find the whole numbers either side. The dot is between 3 and 4.3 and 4
- Count the tenths from the lower whole number. Each small step between two whole numbers is one tenth.4 tenths after 3
- Write the decimal. Whole number first, then the point and the tenths.3.4
Check. Check: 3.4 is 4 steps past 3, and there are 10 steps to 4.
Watch out. There are ten tenths between two whole numbers. Count the small steps, not the big ones.
Method. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.1
- Write the tenths after a decimal point. 2/10 is 2 tenths, so the digit 2 goes after the point.1.2
- Write the answer. A decimal point separates the whole number from the tenths.1.2
Check. Check: 2/10 is 0.2, and 1 + 0.2 = 1.2.
Watch out. The tenths digit is one place after the decimal point.
Method. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.9
- Write the tenths after a decimal point. 7/10 is 7 tenths, so the digit 7 goes after the point.9.7
- Write the answer. A decimal point separates the whole number from the tenths.9.7
Check. Check: 7/10 is 0.7, and 9 + 0.7 = 9.7.
Watch out. The tenths digit is one place after the decimal point.
Method. Count the tenths from the lower whole number to the dot.
- Find the whole numbers either side. The dot is between 9 and 10.9 and 10
- Count the tenths from the lower whole number. Each small step between two whole numbers is one tenth.3 tenths after 9
- Write the decimal. Whole number first, then the point and the tenths.9.3
Check. Check: 9.3 is 3 steps past 9, and there are 10 steps to 10.
Watch out. There are ten tenths between two whole numbers. Count the small steps, not the big ones.
Method. Count the tenths from the lower whole number to the dot.
- Find the whole numbers either side. The dot is between 8 and 9.8 and 9
- Count the tenths from the lower whole number. Each small step between two whole numbers is one tenth.7 tenths after 8
- Write the decimal. Whole number first, then the point and the tenths.8.7
Check. Check: 8.7 is 7 steps past 8, and there are 10 steps to 9.
Watch out. There are ten tenths between two whole numbers. Count the small steps, not the big ones.
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 digit is a decimal less than one.0.7
Check. Check: 0.7 + 8 = 8.7.
Watch out. Do not write the digit as a whole number. 4 in 3.4 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 digit is a decimal less than one.0.2
Check. Check: 0.2 + 8 = 8.2.
Watch out. Do not write the digit as a whole number. 4 in 3.4 is 0.4, not 4.
Method. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.1
- Write the tenths after a decimal point. 8/10 is 8 tenths, so the digit 8 goes after the point.1.8
- Write the answer. A decimal point separates the whole number from the tenths.1.8
Check. Check: 8/10 is 0.8, and 1 + 0.8 = 1.8.
Watch out. The tenths digit is one place after the decimal point.
Method. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.6
- Write the tenths after a decimal point. 3/10 is 3 tenths, so the digit 3 goes after the point.6.3
- Write the answer. A decimal point separates the whole number from the tenths.6.3
Check. Check: 3/10 is 0.3, and 6 + 0.3 = 6.3.
Watch out. The tenths digit is one place after the decimal point.
Method. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.9
- Write the tenths after a decimal point. 9/10 is 9 tenths, so the digit 9 goes after the point.9.9
- Write the answer. A decimal point separates the whole number from the tenths.9.9
Check. Check: 9/10 is 0.9, and 9 + 0.9 = 9.9.
Watch out. The tenths digit is one place after the decimal point.
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 digit is a decimal less than one.0.5
Check. Check: 0.5 + 4 = 4.5.
Watch out. Do not write the digit as a whole number. 4 in 3.4 is 0.4, not 4.
Method. Write the whole number, then a decimal point, then the tenths digit.
- Write the whole number first. This is the part before the decimal point.2
- Write the tenths after a decimal point. 8/10 is 8 tenths, so the digit 8 goes after the point.2.8
- Write the answer. A decimal point separates the whole number from the tenths.2.8
Check. Check: 8/10 is 0.8, and 2 + 0.8 = 2.8.
Watch out. The tenths digit is one place after the decimal point.