Place Value & Powers of 10
What happens when you multiply a number by 10?
Each digit moves one place to the left; the number becomes 10× larger.
Solve 0.45 x 3
0.45 x 3 = 1.35
Compare: <, >, or =
2 tenths + 11 hundredths ___ 0.14
0.31. > 0.14
Estimate:
(Round each number to the nearest tenth THEN add).
9.357 + 12.082 + 7.502 =
9.4 + 12.1 + 7.5 = 29.0 g
Round 9.357 to the nearest tenth.
9.4
What happens when you divide a number by 10?
Each digit moves one place to the right; the number becomes 10× smaller.
Find the product of 4.6 and 3
13.8
Compare:
13 tenths + 7 tenths + 32 hundredths ___ 2.42
2.32 < 2.42
Find the total
9.357 + 12.082 + 7.502
28.941
Write 0.004 in word form
Four thousandths
Explain why 5.23 × 10³ = 523,000 ÷ 10².
Both equal 5,230 because multiplying and dividing by powers of 10 can shift the decimal different directions but result in the same value.
Write 13.8 in expanded form.
(1 x 10) + (3 x 1) + (8 x 1/10)
Compare:
342 hundredths + 7 tenths ___ 3 + 50 hundredths
4.12 > 3.5
Find the difference between 28.941 and 29.0
28.941 - 29.0 = 0.059
4.3 × 10² = ?
430
Write 0.3 × 10² + 0.002 × 10³ in standard form.
0.3 × 100 + 0.002 × 1000 = 32
Write 13.8 in word form.
Thirteen and eight tenths
Compare:
2 + 3/10 + 1/100 + 4/1000 ___ 2.345
1.314 < 2.345
If 28.941 grams of a mixture makes 5 doses, how many grams per dose?
28.941 ÷ 5 = 5.7882 g
Which is greater: 43 × 10 or 4.3 × 10²?
Equal (both 430)
Write the answer to 523 ÷ 10 in word form.
Fifty-two and three tenths
If 2.5 × 10 = ?, explain what happens to the decimal.
The decimal moves one place to the right, making the number 10 times larger. The final answer would be 25.
Compare:
(0.3 × 10²) + (0.002 × 10³) ___ (0.3 × 10) + (0.6 × 10²)
32 < 63
Round one dose to the nearest gram 5.7882 g
5.7882 g = 6.000g
Explain how dividing by 100 affects digits.
Moves digits two places right; number becomes 100× smaller.