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Step-by-step practice: Maths · Level 5Chapter 1 · Place value to a million and decimals to tenths
Step-by-step Maths Level 5 · Place value to a million and decimals to tenths · Lesson 1.4

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

1.4

Decimals to tenths

Level 5
Recognise and write decimals as tenths, and place them on a number line

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.
Worked example 1.4.1
Write 3 + 4/10 as a decimal.

Method. Write the whole number, then a decimal point, then the tenths digit.

  1. Write the whole number first. This is the part before the decimal point.
    3
  2. Write the tenths after a decimal point. 4/10 is 4 tenths, so the digit 4 goes after the point.
    3.4
  3. 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.

Worked example 1.4.2
What is the value of the tenths digit in 3.4?

Method. The first digit after the point is the number of tenths.

  1. Find the tenths digit. It is the first digit after the decimal point.
    The digit is 4
  2. Write its value. 4 tenths is 4/10.
    4/10 = 0.4
  3. 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.

Worked example 1.4.3
The orange dot shows a decimal on the number line. Write the decimal.
22.12.22.32.42.52.62.72.82.93?

Method. Count the tenths from the lower whole number to the dot.

  1. Find the whole numbers either side. The dot is between 2 and 3.
    2 and 3
  2. Count the tenths from the lower whole number. Each small step between two whole numbers is one tenth.
    6 tenths after 2
  3. 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-calculator
1
FWrite 8 + 1/10 as a decimal.
2
FWhat is the value of the tenths digit in 4.8?
3
FWrite 6 + 1/10 as a decimal.
4
FWrite 2 + 6/10 as a decimal.
5
FThe orange dot shows a decimal on the number line. Write the decimal.
33.13.23.33.43.53.63.73.83.94?
6
FWrite 1 + 2/10 as a decimal.
7
FWrite 9 + 7/10 as a decimal.
8
FThe orange dot shows a decimal on the number line. Write the decimal.
99.19.29.39.49.59.69.79.89.910?
9
FThe orange dot shows a decimal on the number line. Write the decimal.
88.18.28.38.48.58.68.78.88.99?
10
FWhat is the value of the tenths digit in 8.7?
11
FWhat is the value of the tenths digit in 8.2?
12
FWrite 1 + 8/10 as a decimal.
13
FWrite 6 + 3/10 as a decimal.
14
FWrite 9 + 9/10 as a decimal.
15
FWhat is the value of the tenths digit in 4.5?
16
FWrite 2 + 8/10 as a decimal.

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