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

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Date: ______________________

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

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Worksheet code: eyJzIjoibnVtYmVyLXBvd2Vycy1ldmFsdWF0ZSIsImQiOlszNjkxMjU1ODMsMjQ0OTAyMjA2LDEyMTkwMTE5OTksNjkzOTkwMTEwLDE2NTcyMDg1ODEsMTczNDkwNjIwMSw0NTUxMTM1MzIsMTUzNzEzMTU5OCw2NzIwMDk5MzddLCJ2IjoxfQ.6888e76f035b

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Answer key · Evaluate powers and numbers in scientific notation

1.
16 — 4^2 means 4 × 4 = 16.
2.
36 — 6^2 means 6 × 6 = 36.
3.
16 — 4^2 means 4 × 4 = 16.
4.
50000 — Multiplying by 10^4 shifts the digit 5 left by 4 places: 50000.
5.
400000 — Multiplying by 10^5 shifts the digit 4 left by 5 places: 400000.
6.
800 — Multiplying by 10^2 shifts the digit 8 left by 2 places: 800.
7.
1/4 — A negative exponent is the reciprocal of the power: 4^(−1) = 1 ÷ 4^1 = 1/4.
8.
1/25 — A negative exponent is the reciprocal of the power: 5^(−2) = 1 ÷ 5^2 = 1/25.
9.
1/4 — A negative exponent is the reciprocal of the power: 4^(−1) = 1 ÷ 4^1 = 1/4.