Or press and hold the picture and choose “Save image”.
for Whoobee's shop
Comparing & Estimating with Scientific Notation — Easy Worksheet 2
Grade 8 · MathSheets Name: ____________________ Date: __________
Answer each question. Write standard-form answers without commas.
How to solve
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
Example
Which number is greater: 7.3 × 105 or 7.6 × 105?
Answer: 7.6 × 105
Not quite. The answer is
💡 Both numbers have 107, so compare the decimal parts: 5.3 > 3.9, so 5.3 × 107 is greater.
✓ Correct!
Not quite. The answer is
💡 Both numbers have 107, so compare the decimal parts: 5.3 > 3.9, so 5.3 × 107 is greater.
💡 How to solve: Comparing & Estimating with Scientific Notation
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
Try a similar one
Which number is greater: 1.2 × 104 or 3.3 × 104?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Divide the larger number by the smaller one. Divide the decimal parts: 8 ÷ 2 = 4. Subtract the exponents: 5 − 3 = 2. So it is 4 × 102 = 400 times as large. The answer is 400.
✓ Correct!
Not quite. The answer is
💡 Divide the larger number by the smaller one. Divide the decimal parts: 8 ÷ 2 = 4. Subtract the exponents: 5 − 3 = 2. So it is 4 × 102 = 400 times as large. The answer is 400.
💡 How to solve: Comparing & Estimating with Scientific Notation
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
Try a similar one
Which number is greater: 7.6 × 105 or 7.5 × 105?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The exponent is 5, so move the decimal point 5 places to the right, filling empty places with zeros. 4.8 × 105 = 480000.
✓ Correct!
Not quite. The answer is
💡 The exponent is 5, so move the decimal point 5 places to the right, filling empty places with zeros. 4.8 × 105 = 480000.
💡 How to solve: Comparing & Estimating with Scientific Notation
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
Try a similar one
Which number is greater: 6.3 × 109 or 3.9 × 1010?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 First write it in scientific notation: 90,500 = 9.05 × 104. Round 9.05 to the nearest whole number: 9. So 90,500 ≈ 9 × 104.
✓ Correct!
Not quite. The answer is
💡 First write it in scientific notation: 90,500 = 9.05 × 104. Round 9.05 to the nearest whole number: 9. So 90,500 ≈ 9 × 104.
💡 How to solve: Comparing & Estimating with Scientific Notation
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
Try a similar one
Which number is greater: 8.9 × 105 or 8.9 × 104?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Both numbers have 103, so compare the decimal parts: 7.3 > 6.4, so 7.3 × 103 is greater.
✓ Correct!
Not quite. The answer is
💡 Both numbers have 103, so compare the decimal parts: 7.3 > 6.4, so 7.3 × 103 is greater.
💡 How to solve: Comparing & Estimating with Scientific Notation
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
Try a similar one
Which number is greater: 6.6 × 106 or 9.7 × 106?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 Divide the larger number by the smaller one. Divide the decimal parts: 7 ÷ 1 = 7. Subtract the exponents: 7 − 4 = 3. So it is 7 × 103 = 7,000 times as large. The answer is 7000.
✓ Correct!
Not quite. The answer is
💡 Divide the larger number by the smaller one. Divide the decimal parts: 7 ÷ 1 = 7. Subtract the exponents: 7 − 4 = 3. So it is 7 × 103 = 7,000 times as large. The answer is 7000.
💡 How to solve: Comparing & Estimating with Scientific Notation
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
Try a similar one
Which number is greater: 7.5 × 104 or 3.8 × 104?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 The exponent is 5, so move the decimal point 5 places to the right, filling empty places with zeros. 8.4 × 105 = 840000.
✓ Correct!
Not quite. The answer is
💡 The exponent is 5, so move the decimal point 5 places to the right, filling empty places with zeros. 8.4 × 105 = 840000.
💡 How to solve: Comparing & Estimating with Scientific Notation
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
Try a similar one
Which number is greater: 6.3 × 108 or 6.7 × 106?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Not quite. The answer is
💡 First write it in scientific notation: 7,050,000 = 7.05 × 106. Round 7.05 to the nearest whole number: 7. So 7,050,000 ≈ 7 × 106.
✓ Correct!
Not quite. The answer is
💡 First write it in scientific notation: 7,050,000 = 7.05 × 106. Round 7.05 to the nearest whole number: 7. So 7,050,000 ≈ 7 × 106.
💡 How to solve: Comparing & Estimating with Scientific Notation
Compare the powers of 10 first — the larger exponent is the larger number; if the exponents match, compare the decimal parts. To find how many times as large, divide the decimal parts and subtract the exponents: (6 × 108) ÷ (2 × 105) = 3 × 103 = 3000.
Try a similar one
Which number is greater: 9.6 × 103 or 1.7 × 103?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
Log in to save your progress.
Comparing & Estimating with Scientific Notation — Easy Worksheet 2
Answer each question. Write standard-form answers without commas.