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Evaluate powers and numbers in scientific notation · Grade 9 · B2.1

Name: ______________________

Date: ______________________

1
Evaluate 3^3 (that is, 3 raised to the exponent 3).
Warm-up
Answer:
2
Evaluate 2^3 (that is, 2 raised to the exponent 3).
Warm-up
Answer:
3
Evaluate 5^3 (that is, 5 raised to the exponent 3).
Warm-up
Answer:
4
Write 2 × 10^5 in standard (expanded) form.
On level
Answer:
5
Write 5 × 10^5 in standard (expanded) form.
On level
Answer:
6
Write 4 × 10^3 in standard (expanded) form.
On level
Answer:
7
Evaluate 2^(−3). Give your answer as a fraction.
Challenge
Answer:
8
Evaluate 3^(−2). Give your answer as a fraction.
Challenge
Answer:
9
Evaluate 3^(−3). Give your answer as a fraction.
Challenge
Answer:

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Worksheet code: eyJzIjoibnVtYmVyLXBvd2Vycy1ldmFsdWF0ZSIsImQiOls4OTMzMTk1NTUsMTc3NjI1MzUxNSwxNzQ0NDgwMzczLDExNTQwMTc0NSwxMjYyMDg3NzYzLDEyMTU1NTI1MjIsODUyNjY4NTE0LDE5NTA4MTY1NDAsOTM1MDY5OTIxXSwidiI6MX0.7df19b977b3c

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Answer key · Evaluate powers and numbers in scientific notation

1.
27 — 3^3 means 3 × 3 × 3 = 27.
2.
8 — 2^3 means 2 × 2 × 2 = 8.
3.
125 — 5^3 means 5 × 5 × 5 = 125.
4.
200000 — Multiplying by 10^5 shifts the digit 2 left by 5 places: 200000.
5.
500000 — Multiplying by 10^5 shifts the digit 5 left by 5 places: 500000.
6.
4000 — Multiplying by 10^3 shifts the digit 4 left by 3 places: 4000.
7.
1/8 — A negative exponent is the reciprocal of the power: 2^(−3) = 1 ÷ 2^3 = 1/8.
8.
1/9 — A negative exponent is the reciprocal of the power: 3^(−2) = 1 ÷ 3^2 = 1/9.
9.
1/27 — A negative exponent is the reciprocal of the power: 3^(−3) = 1 ÷ 3^3 = 1/27.