RemeliaMaths Year 4 Fractions, decimals & %
Year 4 tenths and hundredths as decimals
The objective: Recognise and write decimal equivalents of any number of tenths or hundredths.
The explanation, example and questions are the ones Remelia uses in the app; the questions are not taken from any test paper.
The idea
Tenths and hundredths are fractions and decimals at the same time. 7/10 is 0.7, and 7/100 is 0.07.
How to do it
- Tenths go in the first column after the decimal point.
- Hundredths go in the second.
- A fraction over 10 or 100 can be written straight down as a decimal.
A worked example
43/100 = 0.43.
Watch for
9/100 is 0.09, not 0.9. The 9 has to sit in the hundredths column, so a 0 holds the tenths place.
Try four questions
-
Write 1 tenth as a decimal.
Show the answer to question 1
Answer: 0.1 (also accept .1)
Why:
10 tenths make one whole, so 1 tenth = 1 ÷ 10 = 0.1.
The last digit of 1 goes in the tenths column, the first place after the point.
-
Write 0.55 as a fraction with denominator 100.
- A 56/100
- B 58/100
- C 57/100
- D 55/100
Show the answer to question 2
Answer: D · 55/100
Why:
0.55 = 55/100.
-
Write 0.45 as a fraction with denominator 100.
Show the answer to question 3
Answer: 45/100
Why:
0.45 = 45/100.
-
Leo says: 71/100 written as a decimal is 7.1.
Is Leo right? Write the correct answer, not just yes or no.
Show the answer to question 4
Answer: 0.71 · "No, 0.71" is right too; "No" on its own scores nothing
Why:
71 hundredths = 0.71.
Leo's answer was not right: the correct answer is 0.71.
Answers
- 1. 0.1 (also accept .1)
- 2. D · 55/100
- 3. 45/100
- 4. 0.71 · "No, 0.71" is right too; "No" on its own scores nothing
The mistakes Remelia names
When a wrong answer to a question like these matches one of these mistakes, the app says what the child seems to have done before they try again.
- Question 1, the answer 1: Your digits are right, but in the wrong columns: your answer is 10 times too big.
- Question 1, the answer 0.01: Your digits are right, but in the wrong columns: your answer is 10 times too small.