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stellarik [79]
3 years ago
12

Explain how modeling partial products can be used to find the products of greater numbers ?

Mathematics
1 answer:
liq [111]3 years ago
3 0

You can break large numbers into a sum of a multiple(s) of 10 and the last digit of the number. For example, you can break 26 as 20+6, or 157 as 100+50+7.

Then, using the distributive property, you can turn the original multiplication into a sum of easier multiplications. For example, suppose we want to multiply 26 and 37. This is quite challenging to do in your mind, but you can break the numbers as we said above:

26\times 37=(20+6)(30+7) = 20\times 30+20\times 7+30\times 6+6\times 7

All these multiplications are rather easy, because they either involve multiples of 10 of single-digit numbers:

20\times 30+20\times 7+30\times 6+6\times 7 = 600+140+180+42=962

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3x + 2 ≤ 14 <br><br>-5 + 2x &gt; 15 * <br><br>-2x + 4 ≥ 18 <br><br>HaLp i don't gets
sweet-ann [11.9K]

9514 1404 393

Answer:

  1. x ≤ 4
  2. x > 10
  3. x ≤ -7

Step-by-step explanation:

We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.

1. 3x +2 ≤ 14

  3x ≤ 12 . . . . . subtract 2

  x ≤ 4 . . . . . . . divide by 3

__

2. -5 +2x > 15

  2x > 20 . . . . . . add 5

  x > 10 . . . . . . . . divide by 2

__

3. -2x +4 ≥ 18

  4 ≥ 18 +2x . . . . . add 2x

  -14 ≥ 2x . . . . . . . subtract 18

  -7 ≥ x . . . . . . . . . divide by 2

_____

<em>Additional comment</em>

The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.

You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x

5 0
3 years ago
Read 2 more answers
6.
GrogVix [38]

Answer:

B. y= (4)/(5)x + 2

Step-by-step explanation:

Use the slope-intercept form  

y = m x + b  to find the slope  m  and y-intercept  b .

Slope:  

5

3

y-intercept:  ( 0 , − 2 )

3 0
2 years ago
PLEASE HELP IMMEDIATELY!! ITS WITH ORDER OF OPERATIONS AND PEMDAS!!
vodomira [7]

Answer:

1 = 52

2 = 68

3 = 40

4 = 25

Step-by-step explanation:

1 = (4 + 3)^2 + (12 / 4)

7^2 + 3

49 + 3

= 52

2 = (12 x 9 - 7^2) + 9

(108 - 49) + 9

59 + 9

= 68

3 = (30 - 2) / 7 + 6^2

28 / 7 + 36

4 + 36

= 40

4 = (2 x 7 + 4^2) - 5

(14 + 16) - 5

30 - 5

= 25

Hope this helps!! Brainliest plz??

7 0
2 years ago
Read 2 more answers
A water tower is used to store fire fighting water at an industrial plant. The tank on top of the tower is in the shape of a cyl
liubo4ka [24]
V=hπr^2

(15π(3.5^2)ft^3)(55/100)(7.5gal/ft^3)≈2381.23 gal  (to nearest hundredth of a gallon)
6 0
3 years ago
Simplify. (Start 2 By 1 Matrix 1st Row 1st Column 12 2nd Row 1st Column 7 EndMatrix )(Start 2 By 1 Matrix 1st Row 1st Column 12
sveticcg [70]

Answer:

Step-by-step explanation:

Check attachment for solution

3 0
3 years ago
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