Decimal Words Rounding
1. **Write the decimals in words:**
(a) 0.9 is written as "nine tenths" because the digit 9 is in the tenths place.
(b) 0.06 is "six hundredths" since 6 is in the hundredths place.
(c) 0.006 is "six thousandths" because 6 is in the thousandths place.
(d) 0.87 is "eighty-seven hundredths" (not eight tenths) because 8 is in the tenths and 7 in the hundredths place.
(e) 17.62 is "seventeen and sixty-two hundredths" (not eleven and one hundred sixty two thousandths). The whole number is 17, and 62 is in the hundredths place.
(f) 9.51 is "nine and fifty-one hundredths" because 51 is in the hundredths place.
2. **Rounding decimals:**
- To round to the nearest tenth, look at the hundredths place.
- To round to the nearest hundredth, look at the thousandths place.
3. **Round 18.859 to the nearest tenth:**
- Tenths place: 8
- Hundredths place: 5 (which is 5 or more, so round up)
- Rounded number: $$18.9$$
4. **Round 42.096 to the nearest hundredth:**
- Hundredths place: 9
- Thousandths place: 6 (6 is more than 5, so round up)
- Rounded number: $$42.10$$
5. **Convert 3/12 into a decimal:**
- Divide numerator by denominator: $$\frac{3}{12} = 0.25$$
6. **Multiply 1.2 by 27 thousandth:**
- 27 thousandth = 0.027
- Multiply: $$1.2 \times 0.027 = 0.0324$$
**Final answers:**
(a) nine tenths
(b) six hundredths
(c) six thousandths
(d) eighty-seven hundredths
(e) seventeen and sixty-two hundredths
(f) nine and fifty-one hundredths
8. Rounded 18.859 to nearest tenth: $$18.9$$
9. Rounded 42.096 to nearest hundredth: $$42.10$$
10. Decimal of 3/12: $$0.25$$
11. Product of 1.2 and 0.027: $$0.0324$$