Question

leveled practice for 1 - 2, complete the missing steps to find each product. 1. 4×61 = __ 4× = 4× = 4 + 4 = 2. 5×73 = 73 5×3 ones = 15 ones × 5 15 ones = 1 ten 5 ones 5 5×7 tens = tens 35 tens + 1 ten = __ tens for 3 - 10, find each product. estimate to check if your answer is reasonable. 3. 29 × 2 4. 45 × 9 5. 73 × 3 6. 68 × 5 7. 47 × 6 8. 56 × 4 9. 31 × 7 10. 86 × 8

Explanation:

Step1: Expand 61

$61 = 60+1$, so $4\times61=4\times(60 + 1)$

Step2: Apply distributive property

$4\times(60 + 1)=4\times60+4\times1$; $4\times60 = 240$, $4\times1=4$

Step3: Add results

$240+4 = 244$

Step4: For $5\times73$

$73=70 + 3$, $5\times3=15$ (1 ten and 5 ones), $5\times70 = 350$ (35 tens), $350+10=360$ (36 tens), so $5\times73=365$

Step5: For $29\times2$

$29 = 20+9$, $2\times20=40$, $2\times9 = 18$, $40+18=58$

Step6: For $45\times9$

$45=40 + 5$, $9\times40=360$, $9\times5 = 45$, $360+45=405$

Step7: For $73\times3$

$73=70+3$, $3\times70 = 210$, $3\times3=9$, $210+9=219$

Step8: For $68\times5$

$68=60 + 8$, $5\times60=300$, $5\times8 = 40$, $300+40=340$

Step9: For $47\times6$

$47=40+7$, $6\times40=240$, $6\times7 = 42$, $240+42=282$

Step10: For $56\times4$

$56=50+6$, $4\times50=200$, $4\times6 = 24$, $200+24=224$

Step11: For $31\times7$

$31=30+1$, $7\times30=210$, $7\times1 = 7$, $210+7=217$

Step12: For $86\times8$

$86=80+6$, $8\times80=640$, $8\times6 = 48$, $640+48=688$

Answer:

1. $244$
2. $365$
3. $58$
4. $405$
5. $219$
6. $340$
7. $282$
8. $224$
9. $217$
10. $688$