Word Form → Standard Form
Write “four tenths” as a decimal.
What is 0.4?
Write 0.4 as a fraction.
What is 4/10?
Order the following from least to greatest 1.2, 1.08, 1.13, 1.6, 1.29
What is...
- 1.08, 1.13, 1.20, 1.29, 1.60
Model the number 7.06 on a place value chart.
The 7 is in the ones place, the 0 is in the tenths place, and the 6 is in the hundredths place.
The 7 is ten times as large as if it were in the tenths place. The 6 is one tenth as large as if it were in the tenths place.
Chicago → 0.836 m
Springfield → 1.45 m
Peoria → 0.92 m
Aurora → 1.083 m
👉 Put them in order from least to greatest.
Answer: 0.836, 0.92, 1.083, 1.45
“seventy-five hundredths” as a decimal
What is 0.75?
Write 0.75 as a fraction.
What is 75/100?
Compare using < , >, or =
63 tenths _______ six and 3 tenths
What is
63 tenths = six and 3 tenths
or
6.3 = 6.3
Multiply 4.32 × 10²
4.32 × 100 = 432. Each digit moved 2 places to the left because we multiplied by 100.
The 4 went from ones to hundreds, the 3 from tenths to tens, and the 2 from hundredths to ones.
Every digit became 100 times as large.
Chicago → 0.836 m
Springfield → 1.45 m
Peoria → 0.92 m
Aurora → 1.083 m
Using the rainfall totals above, write the smallest rainfall in word form and expanded form.
Word form → “eight hundred thirty-six thousandths meters”
Expanded form → (8 x 0.1) + ( 3 x 0.01) + (6 x 0.001)
Write “three and twenty-four hundredths” as a decimal.
Write 1.92 as a fraction.
What is
1 92 /100?
Order the following from least to greatest 1.2, 1.08, 1.13, 1.6, 1.29
What is...
- 1.08, 1.13, 1.20, 1.29, 1.60
Divide 8.75 ÷ 10.
8.75 ÷ 10 = 0.875.
Each digit moved 1 place to the right because we divided by 10.
The 8 went from ones to tenths, the 7 from tenths to hundredths, and the 5 from hundredths to thousandths.
Every digit became one tenth as large
Round each rainfall total to the nearest tenth.
Here are rainfall amounts:
Chicago → 0.836 m
Springfield → 1.45 m
Peoria → 0.92 m
Aurora → 1.083 m
Chicago → 0.8
Springfield → 1.5
Peoria → 0.9
Aurora → 1.1
Write “one hundred fifty-six thousandths” as a decimal.
What is 0.156?
Write 24.003 as a fraction
What is
24 3/1,000
Compare using < , > , or =
0.3 _____ 0.322
What is 0.3 < 0.322
A scientist measured the length of a leaf as 2.8 cm when rounded to the nearest tenth.
Write down all the possible actual measurements:
- 2.751 cm 2.899 cm 2.94 cm 2.703 cm
2.751 cm and 2.899 cm both round to 2.8 cm.
The others round to 2.7 cm (2.703) or 2.9 cm (2.94).
If Springfield’s rainfall is 1.45 m each year, how much would fall in 100 years?
What is 145 meters?
Write “fourteen and five thousandths” as a decimal.
What is 14.005?
Write six and 1 hundredth as a fraction and a decimal.
Compare using < , > , or =
(5 x 102) + (1 x 1) + (2 x 1/100) ____ (5 x 100) + (1 x 2) + (3 x 1/1,000)
What is
(5 x 102) + (1 x 1) + (2 x 1/100) < (5 x 100) + (1 x 2) + (3 x 1/1,000)
or
501.02 < 502.001
Multiply 6.407 × 1,000. Then divide the product by 100.
6.407 × 1,000 = 6,407
6,407 ÷ 100 = 64.07
During a storm, four towns recorded these rainfalls:
Albany → 2.34 m
Buffalo → 2.307 m
Rochester → 2.4 m
Yonkers → 2.289 m
👉 Which town had the second greatest rainfall?
👉 Explain how you know by comparing the digits in the tenths, hundredths, and thousandths places.
Order: 2.289, 2.307, 2.34, 2.4 → so Albany (2.34 m) is the second greatest.
Explanation:
I knew right away that 2.4 was the largest because it had the biggest number in the tenths place. Then I looked at the other numbers. Albany (2.34) and Buffalo (2.307) both started with 2.3, so I compared the hundredths place. Albany had a 4 in the hundredths, and Buffalo had a 0. Since 4 is greater than 0, Albany comes next.