Answer:
1A --- 25
1B --- (5 + 4) x 2 + 6 - 2 x 2 - 1 = 19
2A --- -206
2B --- ?
3A --- 5.8 × 10⁷
3B --- 2.5 × 10⁻³
4A --- 4.67 × 10¹³
4B --- 3.5 × 10⁻³
5A --- 9 × 10⁶
5B --- 1.68 × 10¹⁰
5C --- All ants combined weigh 112.46 times more than all humans combined
Step-by-step explanation:
(I am using PEMDAS for Order of Operations)
1A -----------------------------------------------
6 × 7 - 3² × 9 + 4³
<u>Parenthesis</u>
No parenthesis.
<u>Exponents</u>
6 × 7 - 3² × 9 + 4³
6 × 7 - 9 × 9 + 64
<u>Multiplication</u>
6 × 7 - 9 × 9 + 64
42 - 81 + 64
<u>Division</u>
No division.
<u>Addition</u>
42 - 81 + 64 (the 81 is negative)
42 + -17
25
1B --------------------------------------
5 + 4 x 2 + 6 - 2 x 2 - 1 = 14
(5 + 4) x 2 + 6 - 2 x 2 - 1 = 19
9 x 2 + 6 - 2 x 2 - 1
18 + 6 - 2 x 2 - 1
18 + 6 - 4 - 1
24 - 5
19
2A --------------------------------------------
3 × 7 - 3³ × 9 + 4²
<u>Parenthesis</u>
No parenthesis
<u>Exponents</u>
3 × 7 - 27 × 9 + 16
<u>Multiplication</u>
21 - 27 × 9 + 16
21 - 243 + 16
<u>Addition</u>
21 - 243 + 16
21 - 227
<u>Subtraction</u>
21 - 227
-206
2B ---------------------------------------------
5 + 3 × 2 + 6 - 2 × 3 - 7 = 4
(sorry cant figure this one out)
3A ------------------------------------------------
Move the decimal point in 58,000,000.0 over x times until you have 5.8000000. It was moved to the left 7 times, so the answer is 5.8 × 10⁷.
3B -----------------------------------------------
Move the decimal point in 0.0025 over x times until you have 2.5. It was moved to the right 3 times, so the answer is 2.5 × 10⁻³.
4A -----------------------------------------------
Move the decimal point in 46,700,000,000,000.0 x times until you have 4.67. It was moved to the left 13 times so the answer is 4.67 × 10¹³.
4B ----------------------------------------------
Move the decimal point in 0.0035 x times until you have 3.5. It was moved to the right 3 times, so the answer is 3.5 × 10⁻³.
5A -------------------------------------------------
(4.5 × 10³)(2 × 10³)
4.5 × 2 = 9
10³ × 10³ = 10⁶
9 × 10⁶
5B ------------------------------------------------------
(1.4 × 10⁵)(1.2 × 10⁵)
1.4 × 1.2 = 1.68
10⁵ * 10⁵ = 10¹⁰
1.68 × 10¹⁰
5C ---------------------------------------------------------
An adult human is 65 kilograms.
6.5 × 10¹ grams
An ant is (you didnt say how many so im going with) 5 grams.
5 × 10⁰ grams
6.84 billion humans
6,840,000,000.0 humans
6.84 × 10⁹ humans
10,000 trillion ants
1 × 10¹⁶ ants
Weight of humans:
(6.5 × 10¹)(6.84 × 10⁹)
44.46 × 10¹⁰
All humans weigh 4.446 × 10¹¹ kilograms
Weight of ants:
(5 × 10⁰)(1 × 10¹⁶)
All ants weigh 5 × 10¹⁶ grams
1000 grams per kilogram
1000 = 1 × 10³
5 × 10¹⁶ ÷ 1 × 10³
5 ÷ 1 = 5
16 - 3 = 13
All ants weigh 5 × 10¹³ kilograms
All humans weigh 4.446 × 10¹¹ kilograms
5 × 10¹³ ÷ 4.446 × 10¹¹ = 112.46
All ants combined weigh 112.46 times more than all humans combined
