Video: Estimating Quotients Using Compatible Numbers: Three-Digit-by-One-Digit Division

Liam is using facts he knows to estimate 347 ÷ 6. What numbers are close to 347 that I can easily divide by 6? I know 36 ÷ 6. Can this help? What is 360 ÷ 6? Pick a number that is closest to 347 ÷ 6. [A] 6 [B] 45 [C] 50 [D] 60 [E] 72

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Video Transcript

Liam is using facts he knows to estimate 347 divided by six. So he says what numbers are close to 347 that I can easily divide by six? I know 36 divided by six. Can this help?

We know 36 divided by six equals six. We use this information to calculate 360 divided by six. 360 is equal to 36 times 10. So we take our solution of 36 divided by six, which equals six, and we multiply that by 10. Six times 10 equals 60. 360 divided by six equals 60. This estimation can help us choose a number that is closest to 347 divided by six. The best estimate for this division is 60. 347 divided by six is about 60.