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CHAPTER1.4T
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à 1.4ïExponents & the order of operations.
äïPlease find the numerical value of each exponential
expression.ïRound answers to the nearest thousandth.
â
#êêêê7ìï= 7∙7 = 49
éS
# To find the numerical value of an exponential expression such as 5Ä,
write the number five times itself three times and multiply it out.
#êêêï5Ä = 5 ∙ 5 ∙ 5ï=ï125
#êêêï2Å = 2 ∙ 2 ∙ 2 ∙ 2ï=ï16
1
#êè 5ì = ?ë A)ï25è B) 10è C) 20è D) å of ç
ü
#êêêê 5ì = 5∙5 = 25
Ç A
2
#êè18ì = ?êA) 324è B) 36è C) 72è D) å of ç
ü
#êêêë18ì = 18∙18 = 324
Ç A
3
#êè2Å = ?ê A) 8ë B) 16è C) 12è D) å of ç
ü
#êêêë2Åï= 2∙2∙2∙2 = 16
Ç B
4
#êè┌ 1 ┐ìè?ê A)ï1ëB)ï2è C)ï1è D) å
#êè│ ─ │ï= ─êë─êï─ê ─ê of
#êè└ 3 ┘è ?êë9êï3ê 6êç
ü
#êêêè ┌ 1 ┐ìè1è1è 1
#êêêè │ ─ │ï= ─ ∙ ─ï= ─
#êêêè └ 3 ┘è 3è3è 9
Ç A
5
#êè┌ 3 ┐Äè?ê A)è9è B)ï9è C)è27è D) å
#êè│ ─ │ï= ─êë──ê ─ê ───ê of
#êè└ 5 ┘è ?êë25ê 5ê 125êç
ü
#êêê ┌ 3 ┐Äè3è3è3ë27
#êêê │ ─ │ï= ─ ∙ ─ ∙ ─ï= ───
#êêê └ 5 ┘è 5è5è5è 125
Ç C
6
êêêêêêêêêèå
#ê(2.36)ì = ?êA)ï4.72è B)ï5.570è C)ï55.70è D)ïof
êêêêêêêêêèç
ü
#êêë (2.36)ìï=ï(2.36)(2.36) =ï5.570
Ç B
äïPlease use the correct order of operations to find the
value of the following expressions.
â
è4 ∙ 2 + 3 - 4 ÷ 2ï=ï8 + 3 - 4 ÷ 2ï=ï8 + 3 - 2ï=ï11 - 2ï=ï9
éS
To use the correct order of operations,
ï1) Simplify exponents first,
ï2) Simplify inside grouping symbols,è() [] {}
ï3) Do all multiplication and division first come first serve from
ëleft to right,
ï4) and finally do all addition and subtraction first come first
ëserve from left to right.
#ë2 ∙ 3 + 4ì ÷ (6 - 2)
êêêè 1) do exponentsë2 ∙ 3 + 16 ÷ (6 - 2)
êêêè 2) do parençsë2 ∙ 3 + 16 ÷ 4
êêêè 3) do multiplication & divisionë6 + 4
êêêè 4) do addition & subtractionë10
7
êêêêêêêêêå
ê6 ∙ 2 - 8ï=ï?ê A)ï4è B)ï0è C)ï-36è D)èof
êêêêêêêêêç
ü
êêêï6 ∙ 2 - 8ï=ï12 - 8ï=ï4
Ç A
8
(2.1)(3.6) + (3.7)(8) = ?êA) 90.08êïB) 37.16
êêêêè C) 22.57êïD) å of ç
ü
êê(2.1)(3.6) + (3.7)(8) = 7.56 + 29.6ï=ï37.16
Ç B
9
êêêêêêêêêå
#ë7(3ì - 1) + 5 = ?ê A)ï61èB)ï40èC)ï28ëD)èof
êêêêêêêêêç
ü
#ë 7(3ì - 1) + 5ï=ï7(9-1) + 5ï=ï7(8) + 5ï=ï56 + 5ï=ï61
Ç A
10
êè 6 ∙ (4+2) - 4êêë16êêè å
#êè ─────────────ë A) 3.2è B) ──è C) 8.4è D)èof
êë 3 ∙ 2 + 4êêê 9êêè ç
ü
êêè6∙(4+2)-4è 6∙6-4ë36-4ë32
#êêè─────────ï= ─────ï=ï────ï=ï──ï=ï3.2
êêè 3∙2+4ê3∙2+4ë 6+4ë10
Ç A
11
êêêêêêêêêå
#ë6(9 - 5) - 2Ä = ?ê A)ï16èB)ï18èC)ï41ëD)èof
êêêêêêêêêç
ü
#ë 6(9 - 5) - 2Ä = 6(9 - 5) - 8ï=ï6(4) - 8ï=ï24 - 8ï=ï16
Ç A
12ë1è1
#êê ─ + ─
êê 2è3êè 7êêè5ê å
#êê───────êA) ─ëB) 1ëC) ─ëD)ïof
êêè5êë 6êêè3ê ç
#êêè─
êêè6
üêêè1è1ê3è2ê5
#êêêï─ + ─ê─ + ─ê─
êêêï2è3ê6è6ê6
#êêê ───────ï=ï───────ï=ï───ï=ï1
êêêè 5êè 5êï5
#êêêè ─êè ─êï─
êêêè 6êè 6êï6
Ç B