2.07 Multiplying and dividing decimals
Evaluate:
4 \times 5
4 \times 50
4 \times 0.5
0.4 \times 0.5
0.6 \times 0.3
2.2 \times 4
1.2 \times 3.2
4.23 \times 2
4.8 \times 8
62 \times 9.6
3.89 \times 7
2.8 \times 6.8
For the following products, state whether the answer will be:
- Greater than both numbers.
- Less than both numbers.
- In between the two numbers.
3 \times 5
3 \times 0.5
0.3 \times 0.5
7 \times 4
0.7 \times 4
0.7 \times 0.4
15 \times 8
15 \times 0.8
1.5 \times 0.8
1.05 \times 0.23
10.5 \times 2.3
0.105 \times 0.23
Describe when the product of two numbers is:
In between the two numbers.
Less than both of the two numbers.
Consider a rectangle with side lengths of 4.67 and 9 units.
Complete the table by finding the area of each smaller rectangle as a decimal.
Now, find 4.67 \times 9 as a decimal.
| 4 | 0.6 | 0.07 | |
|---|---|---|---|
| 9 |
Consider a rectangle with side lengths of 46.2 and 6 units.
Complete the table by finding the area of each smaller rectangle as a decimal.
Now, find 46.2 \times 6 as a decimal.
| 40 | 6 | 0.2 | |
|---|---|---|---|
| 6 |
Consider a rectangle with side lengths of 4.92 and 0.6 units.
Complete the table by finding the area of each smaller rectangle as a decimal.
Now, find 4.92 \times 0.6 as a decimal.
| 4 | 0.9 | 0.02 | |
|---|---|---|---|
| 0.6 |
Consider a rectangle with side lengths of 2.3 and 3.1 units:
Complete the table by finding the area of each smaller rectangle as a decimal.
Now, find 2.3 \times 3.1 as a decimal.
| 2 | 0.3 | |
|---|---|---|
| 3 | ||
| 0.1 |
Consider a rectangle with side lengths of 0.87 and 7.8 units.
Complete the table by finding the area of each smaller rectangle as a decimal.
Now, find 0.87 \times 7.8 as a decimal.
| 0.8 | 0.07 | |
|---|---|---|
| 7 | ||
| 0.8 |
Use the area method to find the following as a decimal:
0.47 \times 0.89
4.86 \times 0.86
0.83 \times 0.98
3.47 \times 0.69
0.45 \times 0.89
6.42 \times 0.98
0.49 \times 0.98
2.76 \times 0.59
Choose the most reasonable estimate for 2.8 \div 7:
Between 0 and 1
Between 1 and 7
Less than 0
Between 10 and 70
Calculate 2.8 \div 7.
Which of the following is the same as 0.9?
Nine tenths
Nine
Nine units
Nine tens
Now, find 0.9 \div 3, giving your answer as a decimal.
Consider the quotient of 255.15 \div 5.
Write 255.15 as a partitioned number.
Divide each part by 5 and write as a sum.
Add the answers to part (b) to find 255.15 \div 5.
To find 48.8 \div 4 we partition the number as follows:
48.8 = 40 + 8 + 0.8Calculate:
Add the answers to part (a) to find 48.8 \div 4.
Evaluate:
84.06 \div 0.06
12 \div 0.003
6.4 \div 0.008