This lesson defines the partial commodities algorithm for multiplying two- or three-digit number in columns that have the right to be much easier for some students than the typical algorithm that multiplication. The is a complete lesson through explanations and also exercises, supposed for 4th grade. In a nutshell, students rest the number to multiply right into parts, main point the parts separately, and then add.
You are watching: Which numbers are the partial products of 77x30
3 8× 6 |
| Let"s multiply6 × 38in parts,writingthenumbersundereach other. |
| Then main point 6 × 30 andwrite the result under the 48.Remember, the "3" is in thetens place inthe number 38so it actually way 30. |
82× 91 8
1. Multiply.
| a. |  | b. |  | c. |  | d. |  |
| e. |  | f. |  | g. |  | h. |  |
| multiply a 3-digit numberhappens in exactly the exact same way. You multiply in parts:first the ones, climate the tens, then the hundreds. Lastly, add. Just don"t forget the you aremultiplying entirety tens and whole hundreds, not just “plain” numbers. | ones:7 × 6 | tens:7 × 20 | hundreds:7 × 500 | Add. | |||
| 5 26× 74 2 |
2. Multiply.
| a. |  | b. |  | c. |  | d. |  |
| e. |  | f. |  | g. |  | h. |  |
| i. |  | j. |  | k. |  | l. |  |
3. Resolve the equations.
a. × 80= 480 = ________ | b.5 × ? = 450 ? = ________ | c.900 × z = 81,000 z= ________ |
4. Solve. | a.58 × 5 + 291 | b. 1,000 − 3 × 145 |
5. Solve.
| a. A $236 burglar alarm is discounted by $40. A store buys seven. What is their full cost? | b. One next of a square is 248 feet. What is that perimeter? |
6. Resolve the equations.
a.50 × ? = 2,000 ? = ________ | b. × 60= 2,400 = ________ | c.70 × z = 49,000 z= ________ |
d. × 30= 9 × 40 = ________ | e.5 × ? × 2 = 1,000 ? = ________ | f.40 × ns = 800 × 4 p= ________ |
 | a. | | |||
| × | 7 | ||||
| 1 | 4 | ||||
| 4 | 9 | 0 | |||
| + | 7 | 0 | 0 | ||
| | ||||
| × | 4 | |||
| 2 | 0 | 0 | ||
| + | 1 | 2 | 0 | 0 |
| 1 | 4 | 3 | 2 |
| | ||||
| × | 9 | |||
| 8 | 1 | |||
| + | 6 | 3 | 0 | 0 |
| 6 | 3 | 8 | 1 |
See also:Partial commodities algorithm - a video clip lesson
Worksheet because that partial products: single-digit number time a 2-digit numberWorksheet because that partial products: single-digit number times a 3-digit numberWorksheet for partial products: single-digit number time a 4-digit number
Math Mammoth Multiplication 2A self-teaching worktext for fourth grade the covers multiplying by totality tens and also hundreds, multi-digit multiplication in columns, order of operations, native problems, scale problems, and also money problems.
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Download ($5.10). Also accessible as a published copy.
Learn an ext and see the free samples!See more topical math Mammoth books
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