Answer :
To estimate the quotient of [tex]\(38 \div 8\)[/tex], we can round 38 to a nearby number that is easily divisible by 8. This makes the division simpler and gives us an estimate.
1. Write out the 8 multiplication facts:
- [tex]\(8 \times 1 = 8\)[/tex]
- [tex]\(8 \times 2 = 16\)[/tex]
- [tex]\(8 \times 3 = 24\)[/tex]
- [tex]\(8 \times 4 = 32\)[/tex]
- [tex]\(8 \times 5 = 40\)[/tex]
- [tex]\(8 \times 6 = 48\)[/tex]
- [tex]\(8 \times 7 = 56\)[/tex]
- [tex]\(8 \times 8 = 64\)[/tex]
2. Find a compatible number for 38:
- Looking at the multiplication facts, 32 and 40 are the closest multiples of 8 to 38.
- We choose 32 because it is closer and is directly a result of one of our multiplication facts.
3. Estimate the division:
- Divide the compatible number 32 by 8.
- [tex]\(32 \div 8 = 4\)[/tex]
The best estimate for the quotient of [tex]\(38 \div 8\)[/tex] is approximately 4.
1. Write out the 8 multiplication facts:
- [tex]\(8 \times 1 = 8\)[/tex]
- [tex]\(8 \times 2 = 16\)[/tex]
- [tex]\(8 \times 3 = 24\)[/tex]
- [tex]\(8 \times 4 = 32\)[/tex]
- [tex]\(8 \times 5 = 40\)[/tex]
- [tex]\(8 \times 6 = 48\)[/tex]
- [tex]\(8 \times 7 = 56\)[/tex]
- [tex]\(8 \times 8 = 64\)[/tex]
2. Find a compatible number for 38:
- Looking at the multiplication facts, 32 and 40 are the closest multiples of 8 to 38.
- We choose 32 because it is closer and is directly a result of one of our multiplication facts.
3. Estimate the division:
- Divide the compatible number 32 by 8.
- [tex]\(32 \div 8 = 4\)[/tex]
The best estimate for the quotient of [tex]\(38 \div 8\)[/tex] is approximately 4.
