The document discusses decimals and place value. It explains that decimals are made up of ones, tenths, hundredths, and thousandths. It shows how to write decimals using numerals by placing the values in the correct places in a place value chart. It also demonstrates how to add decimals by aligning the decimal points.

1. Decimals Tenths, Hundredths and Thousandths 1 tenth = 1 hundredth = 1 thousandth = 5 tenths = 3 hundredths = 7 thousandth = = 0.1 = 0.01 = 0.5 = 0.03 = 0.001 = 0.007

2. Express 8 ones 3 tenths 2 hundredths 6 thousandths as a numeral. Solution: 8 ones = 3 tenths = 2 hundredths = 6 thousandths = 8 0.3 0.02 + 0.006 8.326 So, 8 ones 3 tenths 2 hundredths 6 thousandths = 8.326 8 0.3 0.02 0.006

3. Alternative Method We can use the Place Value Chart to solve the same question. thousandths hundredths tenths . ones tens

4. Express 8 ones 3 tenths 2 hundredths 6 thousandths as a numeral. Answer: 8.326 8 3 2 6 thousandths hundredths tenths . ones tens

5. Express 1 ten 2 ones 6 hundredths 9 thousandths as a numeral. Answer: 12.069 Let’s do an exercise in pairs. Refer to the worksheet given to you and your partner. 1 2 0 6 9 thousandths hundredths tenths . ones tens

6. Answers: 1 (a) 3 ones 4 tenths 7 hundredths = (b) 5 tens 8 ones 3 tenths 6 hundredths = (c) 2 ones 4 tenths 5 hundredths 1 thousandth = (d) 7 tens 9 ones 4 hundredths 3 thousandths = Pair Work 3.47 58.36 2.451 79.043 3 4 7 5 8 3 6 2 4 5 1 7 9 0 4 3 . . . . thousandths hundredths tenths ones tens

7. 2 (a) 4.29 = 4 + + 0.09 (b) 8.625 = 8 + 0.6 + 0.02 + (c) 7.123 = 7 + 0.1 + + 0.003 0.2 0.02 0.005 Now, try these sums yourself. Do not check with one another.

8. Follow-up Activity (Individual work) Answers: 1 (a) 6 ones 7 tenths 2 hundredths = 6.72 (b) 4 tens 3 ones 1 tenth 5 hundredths = 43.15 (c) 7 ones 2 tenths 8 hundredths 6 thousandth = 7.286 (d) 3 tens 8 ones 5 hundredths 1 thousandth = 38.051 3 (a) 6.18 = 6 + + 0.08 (b) 7.529 = 7 + 0.5 + 0.02 + (c) 9.834 = 9 + 0.8 + + 0.004 0.1 0.009 0.03 2 (a) 5.67 = 5 ones 6 tenths 7 hundredths (b) 36.081 = 3 tens 6 ones 8 hundredths 1 thousandth

9. Summary A decimal is made up of numerals with different place values The numerals must be put in the correct order/place in the place value chart When using the addition method, the decimal point must be aligned (in the same place)