My daughter has this problem:

Laura found 67 x 436 by multiplying and subtracting. Show how Laura found the product. I showed my daughter the multiplication method and then used division for the subtraction. Was this right?

My daughter has this problem:

Laura found 67 x 436 by multiplying and subtracting. Show how Laura found the product. I showed my daughter the multiplication method and then used division for the subtraction. Was this right?

Tutors, please sign in to answer this question.

Hi Barb,

The typical way to evaluate 67 x 436 is by multiplying and adding: (60 + 7) x 436. Usually this is written as:

436

x 67

---------

3052 = 436 x 7

+ 26160 = 436 x 60

----------

29212

Alternatively, you could evaluate 67 x 436 by multiplying and subtracting: (70 - 3) x 436.

436

x 67

---------

30520 = 436 x 7

- 1308 = 436 x 3

---------

29212

Although you get to the same answer both ways, one or the other method may be easier. For example, consider 48 x 713 = (40 + 8) x 713 = (50 - 2) x 713. In this case, multiplying and subtracting is easier (for me!) because it involves multiples of 5's and 2's rather than of 4's and 8's.

Hi, Barb.

I do not know the particular method this assignment is looking for, but here is one way to get the product using mutiplication and subtraction:

Round 67 to 70.

Multiply 436 x 70, which is an easier multiplication problem.

Since 70 is 3 more than 67, this product has 3 extra "436"s. From the product, subtract 436 three times.

436 x 70 = 30,520

30,520 -436 = 30,084

30,084 -436 = 29,648

29,648 -436 = 29,212

67 x 436

= 436 x (70-3) <== since 67 = 70 - 3

= 436 x 70 - 436 x 3 <==Multiplication and subtraction

= 30520 - 1308

= 29212

Debbie C.

SMILE while you learn - experienced Tutor and Coach. MANY subjects.

New York, NY

4.9
(83 ratings)

Amaan M.

Former High School Math and Economics Teacher

New York, NY

5.0
(44 ratings)

Sean B.

Math and SAT tutor for all

New York, NY

5.0
(18 ratings)

## Comments

thank all of you soooo much! this should make things easier for me when we have to study for a math test!! i was just completely stumped by this fourth grade problem! need to boost my math skills I guess. I still have 8 more years of problems getting difficult for her, not to mention 2 younger brothers that will be going through the same thing, lol! THANKS AGAIN!!!!