In Class 3, you learned that multiplication is repeated addition. You learned tables up to 10. Now let us go further!
In Class 4, we will multiply bigger numbers -- 2-digit and 3-digit numbers. We will also learn to multiply a 2-digit number by another 2-digit number.
2-Digit x 1-Digit (with carrying)
To multiply a 2-digit number by a 1-digit number, multiply each digit starting from the right (ones place).
Step 1: Multiply the ones. 3 x 4 = 12. Write 2, carry 1.
Step 2: Multiply the tens. 2 x 4 = 8. Add the carry: 8 + 1 = 9.
Answer: 23 x 4 = 92
Step 1: 7 x 6 = 42. Write 2, carry 4.
Step 2: 4 x 6 = 24. Add carry: 24 + 4 = 28.
Answer: 47 x 6 = 282
3-Digit x 1-Digit
Step 1: 5 x 4 = 20. Write 0, carry 2.
Step 2: 3 x 4 = 12. Add carry: 12 + 2 = 14. Write 4, carry 1.
Step 3: 2 x 4 = 8. Add carry: 8 + 1 = 9.
Answer: 235 x 4 = 940
2-Digit x 2-Digit
Step 1: Multiply 24 by 3 (ones digit of 13): 24 x 3 = 72.
Step 2: Multiply 24 by 10 (tens digit of 13): 24 x 10 = 240.
Step 3: Add: 72 + 240 = 312.
Always start from the ones place and work left. Do not forget to carry!
| Word | Meaning |
|---|---|
| Factor | The numbers we multiply together |
| Product | The answer of a multiplication |
| Carry | Moving extra tens to the next column |
| Estimate | A rough answer to check if your exact answer is correct |
A. Multiply (2-Digit x 1-Digit)
B. Multiply (3-Digit x 1-Digit)
C. Multiply (2-Digit x 2-Digit)
D. Multiple Choice Questions
E. Word Problems
Estimate and Check: First estimate the answer by rounding, then calculate the exact answer. How close was your estimate?
| Problem | Estimate (Round) | Exact Answer | Close? |
|---|---|---|---|
| 38 x 5 | |||
| 72 x 4 | |||
| 156 x 3 |