To solve these problems, we use a simple rule: when you multiply a number by a power of 10 (like 10², 10³, etc.), you just add that many zeros to the end of the number.
Let’s go step by step for each one:
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Left Column:
1.
9 × 10³
→ 10³ means 1000 (three zeros)
→ 9 × 1000 =
9000
2.
4 × 10²
→ 10² means 100 (two zeros)
→ 4 × 100 =
400
3.
39 × 10⁴
→ 10⁴ means 10,000 (four zeros)
→ 39 × 10,000 =
390,000
4.
25 × 10³
→ 10³ = 1000
→ 25 × 1000 =
25,000
5.
40 × 10⁴
→ 10⁴ = 10,000
→ 40 × 10,000 =
400,000
6.
705 × 10³
→ 10³ = 1000
→ 705 × 1000 =
705,000
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Right Column:
1.
720 × 10²
→ 10² = 100
→ 720 × 100 =
72,000
2.
200 × 10²
→ 10² = 100
→ 200 × 100 =
20,000
3.
70 × 10³
→ 10³ = 1000
→ 70 × 1000 =
70,000
4.
64 × 10⁴
→ 10⁴ = 10,000
→ 64 × 10,000 =
640,000
5.
450 × 10²
→ 10² = 100
→ 450 × 100 =
45,000
6.
99 × 10⁴
→ 10⁴ = 10,000
→ 99 × 10,000 =
990,000
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All answers are checked and correct.
Final Answer:
9 x 10³ = 9000
4 x 10² = 400
39 x 10⁴ = 390000
25 x 10³ = 25000
40 x 10⁴ = 400000
705 x 10³ = 705000
720 x 10² = 72000
200 x 10² = 20000
70 x 10³ = 70000
64 x 10⁴ = 640000
450 x 10² = 45000
99 x 10⁴ = 990000
Parent Tip: Review the logic above to help your child master the concept of power of 10 worksheet 5th grade.