IM 6.5.13 Lesson: Dividing Decimals by Decimals
Use long division to find the value of [math]5.04\div7[/math].
Select [b]all[/b] of the quotients that have the same value as [math]5.04\div7[/math].
Think of one or more ways to find [math]3:0.12[/math]. Show your reasoning.
Find [math]1.8:0.004[/math]. Explain your reasoning. If you get stuck, think about what equivalent division expression you could write.[br]
Diego said, “To divide decimals, we can start by moving the decimal point in both the dividend and divisor by the same number of places and in the same direction. Then we find the quotient of the resulting numbers.”[br][br]Do you agree with Diego? Use the division expression [math]7.5:1.25[/math] to support your answer.
Can we create an equivalent division expression by multiplying both the dividend and divisor by a number that is [i]not[/i] a multiple of 10 (for example: 4, 20, or [math]\frac{1}{2}[/math])? Would doing so produce the same quotient? Explain or show your reasoning.
[size=150]Here are two calculations of [math]48.78:9[/math]. Work with your partner to answer the following questions.[/size][br][img]data:image/png;base64,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[/img][br]How are the two calculations the same? How are they different?
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKUAAAE1CAYAAACGOiAtAAAgAElEQVR4nO2dd3gU1frH2U3vCQQSApESelNALooUG8gFxYLleq2AXq5er78rinAVwXItWLDQRJqCSrXQewq9hJpAAumQRkJICCnbZj6/PzazpG3K7ia7CefzPOeBzJw5c87Md99TZuZ9WyAQOBgt7F0BgaAyQpQCh0OIUuBwCFEKHA4hSoHDIUQpcDiEKAUOhxClwOEQohQ4HEKUAodDiFLgcAhRChwOIUqBwyFEKXA4hCgFDocQpZ0oKioiLy/P3tVwSIQoGxlZlgE4cuQIq1atAsBgMNizSg6HEGUjo4jy4MGDrFixAhCirIwQpZVIslRtUsRnjpycHJKSkgBqzVsTMjKSLFl8fHXlGWSDKVlTN0sRomzC2FIwsmxe3LYUfV0QorQCvaGUjOtppF+7SEbhpbKUTlZxBgWawhqPjY+PJyIiAgBJqv9NVwR5tTib84VxXNeVVthuKcXaa5y4fIgDGeHEXIlBb5BtUm59EKK0AEk2jgHPZmznsV39GbmlH2N3D2Ds7oH8dccAxh2+nTknvgPAIFccLyo3d//+/SxfvtyYp55jShkZWZbRavN5btMQRkUOISrjbNn5LLNq+SWXmXf8Pe5e15WR2/sxclNf7tvei8e3jyE6+3SFujc0QpQWYJCMItqf+jv3b+/LotjFbE1ez8bENWxOWsfmtLWcvxoPmL+RMTExbNu2Dai/pTTIBtBLzN7/Cvds7MW9G24nKtMyUUqyBLLM+tg5jAofyJyT3xGXd56comyiUv7gr7934b4/hpFbWlJje2yJEKUFGCQ9AFvj5zI2fAR52sbr2pTxXVTizwzb2Jd5Rz5i9JbbiMg8V2F/fdHqr5N+PQO9vuL2iISl3LunF5tT9gJVLX9DIERpAYql/PX4u9y7eRi5Gp1pn17So5W0tYqjoKCAzMzMep1Xxij+a0WXGLOpKx8fn09azl7GhPcnKtNomS3tvhWU1QODrMcg60m6sp+HIm9l9YWtxv00/KRHiNICJElCluG7I28yeuP9FBYDsowsg6Sr+Vil+zt06BA///wzUPcxpSRLoNMzdc9DjN0+hmvFEJe+gbERt9tElOW7ZmXcvC1uHvfuudU0PJBE9+2YKOOw9/dOYMSOvjzyx3BGrb2V0b/fzuTwZ9mSsg2DvvpjLRWlYnn/iP2G+3b352i2UYSnL/7OmD0DbGYpy2pp/EdbxKQddzBm41hKzLSnIRCitABFWNGZUcyN+Zivoz9m6el5fHn4Xcb/MYhhO7vyRfRXGPTmJwb5+flkZGTU6XyKIDOunuGBHT2Yc3Ipkt64/czFPxkTPpDIzHNl3a51opRl48werYG5R15j+I5e7M04WaEeDY0QpQ2RDYBBwzsRjzN0az9i89IA62+mXDYumLD1biZF/pOS4hv7EjK3Mzbidg7npFl1DuU8siyDRmL1mU8ZsacnS2J/QZIadwFdiNIKJFlCL+lNj+S0Bi0AZzN38kB4b1Zd2AxUP2ONjY1l+/btxv01dN+KGNac+557tvdlY+JOzuWc4mT2Mc7mnubPmG+5d3NvVpz7g3N5MVzTFZstqzaMFlJmfcyX3Bfegy9OLEarEU90mhSSbKhwwyTZKNCU3EOM3dOHn89vNG4vN2OtbvHcZKHModHyytZR3LmxC/dv7sPo3f15YNdtjN7dn3s292bQilsYsrYDDx++i/1lC931FZIiyHVnPmdkZC++PLkYnRb0kg6DZBCWsqmz9vRs7t3Tj4NZ5tcO4+LiiIyMRJYlNDpNzQVKEuevnORQ5j4OZ+7naOYBDmVEcTTzAGtOf8HI7f1YEruao1kHKdQV1bu+MjJoJdbHfMk923qw+Nwa7PnikhBlPVHWCos0l/nx7FxirsRRotOADNdKr7Dtwk/ctS6E53ZORFvDRMeInrf3/J2nd40jufByhfLrSlLWTsZFDuZIzkWL2qP8YDbG/cCITZ14e/8MLhZcIi43hvNXzpWls1zIS0AvHjM6KsYbU6y5zKN/9OOenX0Ys/kvPL51BGO3DuCe7T35Z+RkMoryy3JXfyPz8vKIP3+Skeu7MjyiDweyzgDmu11Zliq8UqaTtBhkAydS1zLuyF/YnR6LQTaglywwcbpSHvv9Nm7/owP3/NGTUbv68sDuW41p162M2tWDseFjuFz2kKChpSlEaQWFpXnsS9/BypiFLDj+JX8mreVs3jn0ZQvo1VlJZduBAwdYu2YNB3I2s+jUvHqLSSmnoCSDvZd3kVN63bjdEsnIBqKzotiVtpndaZvZnbaFPRe3GlPaVvakbSYyPQKNBW8zWYIQZQNhThyKmA4fPsyvv/7amFVqMghRWoHxrW8DBklvTLKhzs+GlQ/HjF2u5Y9LjC/nGqzuUqVyQwNzqbEQohQ4HEKUduLUqVNs3Fi2jtlIY7WmQpMXpSRJTSoZDAYkSWLv3r0sXboUSZLQ6XR2r5e1yZYv/zZ5UTZVsrKyOH36tL2r4ZA0aVFqtVpOnz7NmTNniImJaVLp3LlzxMfH270e1qbY2FhiYmLq/cJyTTRJUSpjsDNnzuDk5IRKpcLJyalJJLVabfq3/P/tXS9r2/Pyyy8DoK/8PYUFNGlRHjx4kICAAJYuXUpUVBTh4eFERUU5dIqMjCQqKorvv/+emTNnNpl6m0t79+4lKiqKhIQEm93fJilK5VWvXbt2ERQURGpqqp1rVH9iY2PZsGGDvavhkDRJUSqWcsOGDQQEBJCWloYkSej1ervPQus6+y4pKeH69esVtjXldNPPvhVL+csvv+Dp6Ulubi7QuF4crEURo6AqTVKUiqX8/vvvcXd3p6CgAGhaojx+/Di//fYbIBbPK9MgolSsgNIt2RrFwsyaNYvWrVvXe8Zn63rVp73l3xL68ccfTfWpDVmWTd1kdV1nrW+v1xFZlk1tMRiaide16m6KrRumnOOll16iS5cuNi27vphrW21tTk1N5fjx43XK21iY+0E1tiVvEEt55XIWkeF72LFzF6kZ2UgNdM3Hjh3L4MGD65xflmWQJc6cOsm580k2q1fmpVT27NzB9u3bORt/Ab0N26sIVlNynfT0S6Snp5ORkUFWVhbZ2dlcvnyZy5cvk5WVRcG16xa/LaScx6DTEH34IFu3biVy734Krpc0+Eu9lbGZKGVZBoOWLz96l5bennj5+ODp6Ymbpy//eGMGpfo6fCBVT3r16sWzzz4L1P5rVrrINcvm4eHmSv97nqCkFm8WNSHLMpKmmP/84zn8fbxo3boNwUFtcPfw5I57/8qF1AxTvupIS0urk6VU6r13x2+0DwnCz98ff39/fH198fb2xsvLExc3d7y8vHjsxbcwWGDUlPNHbf2d7p3a4+fnT0hIO/z9/fBu2YYv5i3FIDUxr2uKIJYv/AoXV1eefeVNYuMTSEq8wKcz38TDzZmX3/wAvQ0bJkkSQUFBvPfee0Atn6mW1e/ShRiCAvzw8PDgthGPUWyhKCXJ6CFjzqypuLh6MGXmx1zKyCY/7wrrV/5Aa29XBgwZjaaab3TqO6ZU8l/OzmTpkiUsKUuLFy9m0fff88MPP/DB9Cm4OKmY8dncWsszV35eejKtPV0I7dGffUeOk5d3lbjYE4wfdRfOLp7siIq+0fYGxnbdt0FD55BWDBgytqIFkvW8/3+TcPNtw/mLxqUbaxqmXMSMjAz8/f1ZvXq18fS1idKgYcSAHtx59zjG3387nQeOts4ViaTltu4d6HnHAxSVa6+MzOfTXsHZqw1xl/LLzl/1h2iz2bcs8f5/JuHuHUTmFeM33/X54SvX7c9VS/Hw8WfrwZgK+0tyL9LO34vn/vOR9XWtI1aL0vRLTozHz9WFWV8sBYwvS+j1emRZ5nJyHIE+XnyxcA1g3fNRU3e2dy/+/v6cPFnmUsTMxTLml5kzcwquXq1ISb/Cs6OGETZoLKXWiNKgZXDPzvQY/IBJ3BqNBhmZz6a9iqtfO5Jzis3Wrb7rlJVnxTqdDr1eT86lC/h7OvHES1OR5Pr3REodtq9dgaeXP1sPxAJQUuaGoyQvnSA/L16e/oXZttgaq0WpVDI99gwBrh58smAtklT2jmDZBaT0Ch3aePP2tFlQdnEtRTl27ty5+Pj4cO3aNaD6m6HU7ezRCPw83fng2xWgL2Xs4D50GTQWjYXVULrvxV9+iKuHFx/P/RGtAZAMnN6/h2Bfd8Y//Q/0BvMi0Wq1FBdb7s3C2DaZT956FXfv1kTHp5fbXneU+hXlZhLa0ocu/YeRdrkAWQb0Gl58+H7cPHw5fS7VovItwWaWsvRqFq3c1Yx95l/oKtV7/44NeLioeWfmB4Btuu9nnnmGbt261ZhPlmVkbRH9OgUz5IGnjJZRp2HckNvofPsYqyylLMvIBh1vvT4ZT08v7hs9nrff+DeBfn78/cVXKdVoa7Rax44dY80aY89hqZC013Jp5+/BsDHPorOyLQCH9u2h8y0htA7uwFtT/8v9dw2i/S3d2BWxv0K+hsYmY0rjUouB158bj9rNi0+/+4HLuXlcyclm5eJ5tAtsg6urC+/MqH1SUle6dOnC888/D5jvHpH0vDnpb3i1DCX1cqHxvAYdD981gC5l3bel/haVc8YdP0hwgBee3t54erjh5t2KtVsiMZgptvxE56effgLqfz2UIcmir2bi5unL5n0nLSqnasE6/vnsY6jUalq29KdFixY8+NQkrpU2wXVK5UKXFOTx/GMP4u7uhp9/AH6+PgQGdeT7+YsI8fdg6n8/Ayy/eIoQsrOzadmyJcuWLau2PCVf5LY/8fDwZv22gzd2GgyMH/4Xug4eZ7GlVMrfvul3PF1duGfME5xNSOXI/j2MGz0CZ1c3Jv/nf2hr6L4zMjI4e9boiNQiC6S5TvcQf3rePsrqpS1ZltGWFPHA3Xfh7d+aRSt/J/1SKrM/moGftzNBHfpyNiELaCLddxVkiaTEBPbv38fBQ4coKtWRERdNgLc3c1eUeSGzUJTKcX/88Qc+Pj6md/iqu1DFRUV0bN+e24c9wPmEJA4fPszRo8c4e+YUd/frSmivoZw5G0/8hYR6LaIrAiq+mk2wrydDRj1RcWlJX8q0117EydmD7RFHzNbPUkyz5R8X4ObqzqI1tXtuqwllfPzZu1Nw82rJjv2nb3yzLkvEnzpAG183RjzwWKOtVdpUlOYWxz+f/i+8AtoSm6osCVnWMKXsCRMmEBoaWm0e5eYc378Dfx8vPDzcadmyZbnUCmdnF5ycnPDx9mbAsPvR1EMzpvJ3b8HHw5sfNxqtsFarQ6czugK8npNMaHAAH31hft0wMTGR/fv3V2lbndCXMKjXLbTtPJBCjQXHV8agY3ivMMIGPkCx3rg6YpCMM3xkA/964VF8AtqgaSRvvg3+llBRTjqhLb34yz2P19id1YfQ0FAmT54MmLdChVdziIqMZPeePYSHhxMeHs6ePXvYHxXJXX26067HHew9eIRTp2Pr9RhNEdipyO14u3kw95etpn1K27JTThHU0psPvlxU4Zjyefbv31/mXlqmtLS0TudW2rpvyzrcXJyYNWdZjdeg7o3Scd+t3enQbziF2son1fH8Y/fhERBCUeV9DYRNRanTatGUTQNlvY4DkbvoGxaKm0cQx2OsW1JQbuzRo0fx9fUlPDy8wva6F6TlybvvpOeQR62afWuu59GlXSvahPbkyMl44xBAlrh8KYVH7r8DF6/WHDmTAlTf5tOnT7Nt8wYmPvMEffsP5kJqNlCHH61ey4NDBuATFEb2Na3Z8uuKcuzCLz/E2cWNt2fNoUhxZGXQsXb5AjycW/D4i2/a9IlcTdhElIowTu+LpEvoLfTo1YvOHULx9fOja5/biTxo9ChmTYOUi/fqq68SGBhYqxgrLzYbDAbjor1By/39utH1jocp0VsXgu7YgUi6tG+Lr18AoR060iWsMy39fXHz8uPbJWsw1LKYrS3KJ9DbDZWLJ9v3Hq/QTnPtP7jzdzxcnHhpyscWLZaba4+k1zD5+afxdHUlILAN3bp1I7RdWzw8vbh37BNkXa3/0yJLsens+9qVXH5cvIjPPpvNggULiTpwGJ2hYh5rytfr9YSEhPDaa68BFg7uZYl9e3ayZfc+s8s29alT6fVCtm74k89nz+aDDz7il9VrSc/KqfX469evk3/1Kr8sX8ysjz5Fp6/9RwYQdyqadet/Izf/eoXtNsFgIOZENEt+WMSsmbP47rt5HDh8zKrrZAkNM6asdKGsHfMo4vt11Sq8vLxMSyn2fmO7pvOb21c+CH1T8rrWZAOGVtdl2pL+/fszdOhQ07ksxfjc2TaCVtqs1+uNs9Za3j6vHITeYDCg1dZ9BqE8M28okSjlK22xx3dEDv+NjnKD16xZg4eHh2mCY28raS22CkLfHHF4USo37N1332XUqFF2ro2gMXB4UZanOX2SGhcX12ysvq1pUqJsDtgiCH1zp0mJsjmNvWJiYkwRx4SlrEiTEqXg5kCI0k4UFBTUOYrtzYYQZSNjTRD6mwUhykZGiLJ2hCjtREFBgU1dMjcnhCgFDsdNKUpbOvmszgNaXcoXS0LmuSlFaU/E4nnt3FSiVLyuxZ45RdwF672u6XSlXLyYxsWLl7h06UbKyMjg6rXCGo8VjxnNc9OIUrFGa5fPt9rrmlRW1omIP+kYEoivrx+BgYG0bt2awMBAAgMDeWvmx8gIK2gJN4UoTa5lEmIJbumPh4e7VV7XFKFtXb0STw9P3vv4c5YsXsyiRYtYsmQJixYt4sRJYzQxc2PL3Nxc8eqaGW4eURo03D2wJ3eMeIjH7rPO65rioGvlok9pFdyFyzX31BWo/JIvCGtaGYcUZXkf3uZSXTEYDCDLfD3rLVy9Akm+lGu11zXjm98w973X8A3uTGaBzlRvvV6PRqOp1+cQQpQVcUhR2gpFGOeOReLn6c6sb360mdc1GZn/Tn6Rtp17U6gDyvxK1HXyVFRUxNWrVy2rQDPHAUUpU1paQklJDalUU6sDAZNF1RXTr3Nb7nzgSZt5XTO6OjHwwtPjcPbwpXvPnrRtG0zbkPbcO2oMq9ZtaPQvAJsTDiNKWTZaNV3xFe4ddjsdOnQkLKwzYWFhptS5cxgdO3ak1+B7TZ4czHXlinDeeulpvFvdQkrWtbKxpfVe15Rzhu/azpQ33uD/3pzC/z7+mH+/+k+6hrbF2dmNN6Z/UON32SIIvXkcRpQKsl7D7+vX8NNPP/HzzytZsWKFKa1cuZIVK35i/YYtVXxglke5yVHbN+Dp4c3arQdu7LSB17XqK14mPm0xT44dhtrNj+iYlAr1MWYTi+e14XCitBXFRUV0Cg1l0PDRXEhK4ejRoxw7Fk1c7Gmj17XeQ4mNu8CFRMsX0SVJqvApqvKpbHT4Bvw8vfhu8e+AeQdXBw8eNJUjuIFDirL8d9TVJUMNN9HkFW3fdvx9PPHwcKeVOa9rPt4MGHofpRYaKoPBgEGSTONbQ1n9EqKjCPT25quFawEhuvrikKK0BdfyLhMZEcHOXbvYvXu3Ke2NCOeuPt0J6XEHkfsPcfJUjM2DFy36YiZu7r5s32dcQK9OlFY7TW3GNFtRmsWg5cl77qTnXZZ5XVMEdD03i88//ISTsXFotDqQZa4X5rP+p0W4qVpw29AHKdXVHEfHUvfSzZ1mK8qG8rpmcqWdd5mwln74+PnTNqQdXbt2pV1IEN4+fgwf+SgpWVcr5K+MNY74mzvNVpRmkSX27t7Bpp1RVq8lXs3J5s8/fuO7b79m9uzZLF6ylP2Hj6Ovg6c5a0OWNGduPlE2ErWNE5WZu6AqN6UobeV1rbohQl3HhyIIvXluSlHaE0uD0N9MCFHaCUcMQu8oCFEKHA6HEWXlrwKbe0pJSRGW0gwOI8qbjRMnTogxpRnsKkpl1hkeHs6LL77IxIkTefHFF5t9mjhxIo888oiYfZvBISzltWvXSExMJCkpicTExJsipaWlCQtpBocQ5c2KeKJTPQ4jyrp8LNYckuLS5ejRo+LZtxkcRpQ3C+ItodoRorQTmZmZ4n1KMwhR2gAlSldt0casofIQoLyXN0u+h3dkhCitoKZutzaBJCYmcuDAgTrlvdkQorQWycD5uLPs3r2b8IgoUi5mUJOxtPRrRk3JdTIzM8nKyiI7O5vLly+Tk5NDbm4uubm5XL6cw7XCIpt/2mEPhCgtQJZlSgqvsfDbz+naqT1+vr74t2xJQEAA7p6+jP/7P8i5VmLKWx11/e5bEezeHb/TPiQYP/8A/P398fX1xdvbG09PT1zc3PHx8WH8hKnYKA6qXRGirCeKyC4nn6djSGvuf+hJNmzZSWJKChfiz/LOG//EzcWJ8S9OQS9Z3zUrx2dnZfDDokUsKksLFy5k/rx5LFy4kFlv/wdntYp3PvkWaPqzeSFKK7h6NQ9d5fuvL+GRuwfg3ao917VGQVUnzKKiIvLy8qyvhCzx4ZSXcfcOIiO3yOz5mhJClDZAq9Wi0+nQaDQgy0wePwrvViFc0xj70vIisdTrWuW33HU6HXq9nisZCfh7qnl80ls1uolpSghRWkGVsaAskXbuKIFeTgwe+Te0BvOf2Frrn9J4bpnPpr2Gu3drouMuVV+nJogQpZXkX8lh69YtbNr4Bx+8N42wju24/6/jSb6YA9TsyTc5ObnGPOZQ8usKr9DO34O7Rj9TdRjRhBGitBDF73nE78vp0qE9bUNCcHdzxb91O+Yv+xV9Axoso2WVWfz1+7h5+rBp74ly25s+QpRWUlpcRPqldC5eukj04YO8P/3/8PZwZcTIJ9BU4yFDweroENoierRrSfeBIy0OKOCoCFHaGtnA/E+n4+zqxW87jwK2dQWo5N3w00LcXN35fvW2epfh6AhRWogyGy7/HFqjKUGv13PhWBStvf34ZuE6oHrBxMbGWh5xzFDKX3p3IKhjfwo1N+rTXBCibABWff8Zri4erN64F7CdFVPEe2Dbb7i7ODHzq6UVtjcXhCjriSKAY4ci+WbhYtLSM8ucrspoS4rYuXEtLb2caduxDwVFN6JGVCY/P9+yIPQGHQ8Pux2fNp3JLNBUqFNzQYiynihWL3z7RgJ8ffD1C6B96C306NGd0JC2+Hj70nfgEKJjLgDm1ynrG+9bEd6hXX/g4eLEpDf+h9xMFssrI0RpIbIMSRfiWL3qV+Z89SWzZs1i/sLvidp32LQcVJ1gLBWlctzZE0dZvWYdOfnXzZ6jqSNE2UDU1qWKIPTmEaK0gvJvnJd3yN+Q1ks5Z3O0kApClHYiJiaGbduMa4zNbaJiLUKUjYyIo1M7QpR2Ij4+noiICEBYysoIUQocDiFKO5GTkyOC0JtBiLKRsdVLvs0ZIcpGRgShrx0hSjtRXFwsgtCbQYhS4HAIUdoJEYTePEKUjYxYPK8dIUobYInXtfJB6C1dEip/3ua0rCREaQXWeF1rqPM2B4QorUXScyH+HOHh4URG7SMtPYu66DEjI4PY2FigfgI25ZUlzsedY9fOnezYtYuL6c3nNTghSguQZZniwmssmvsl3cNuqeJ17Yln/0luYakpb+VjwTL30pIkgWxgy5/r6dOzG/7+/oS0u4XgNq15+Ll/oZeax6RJiLKeVPS6Fsi9Yx7nj03bSUhKIv5cDNP/Mxk3Fycen/BmjV7Xjh07xtq1a4G6CUnJ8+vyBXi4OTN4xF/ZvH036ZnZXEpNISE5rVn4pgQhSqu4ciUXXWU96Yt5eER/vFuFUvbdWLXC1Gq1lJSU1Ok8iiCzUxPwcXFm5OMTKGnGocKbvShrCyFiCyp6XZNq9LqmUJ8g9Er3/uWM/+AVEMypxMtl5d7Y35wC2jd7UTYkVbtdmbS4YwR6OfGX+59EW8NQsd5B6PUaht7anbD+91KkByQD6enpXC0oNHXbzWVZqFmLUqfTotVq0Wg01SatVockWXcj86/ksG3bVrZs3sBHs96hS6d23PPAoySlKdbM/ESnPgFDJW0prf38+Psr01jxwze0DwnG388PTy9v7h/zCDFxCdWerynSfEVp0PD8U2Pp1KkTYWFhVVKnjh3pNeAOTiYal1LqK07F61q4yetaW9xdXfEPbMf8Zatq9bqWlpbGiRNGb2k1CUnZV5h/heCg1oS0C6Zjtx7MmbeIQ4cOsfT772jj60lw+65k5TSPz26bryhlAxG7t7Fs2TJ+/HE5y5YtM6Xly5ezfPlyVvyyitwC6+IjaoqLuHTpEmlpqRw7fIBZ017H292Vu0c9WaPXtfpSmJdFaz93AkN7kl1Y0c3aiX1b8fZw4/0vFiPLTX9xvfmK0l7IEvM+mYaTqxe/76rqdU0hNTW1TkHolX3X87PxcXdi0tT/AaDT6UyPGNGW0CHAm5FPvYahaRtJoJmLUpnhmk+WPzOuyeva+aORZr2uWTqmRFtMOz8PHn7xDWRAX/a8W5Yk0JTQ0deL+556TYQsEVTP6kWzcXXxYNWGKKB60R0/fpzff/8dqH32LUkSSAYmPT6GVu27k1dpeTP9fDQB3q785/1vkM2crykhRFlPFAFFH47iu0VLuZiRZVqS0ZYWs2vTOgK9XQju0Jv86+a9rilv+NTnnHEnD+OmVnPvwy+QkZMPwOX0JEYNvQ0n9wBik7Iq5G+qCFHWE0VIe7ZtwN/XB19/xetaD5PXtd797+TYmfOA+fGiVqulqKiozueVjS7W+HXZYrzdnAkMaktYWGcCA3zw8Alk2S9/INdwvqaEEKWlyJAYf5Zff/mZL7/4nPfee4+58xcQEXWwRq9rCpYEoVeEmZZ0gZU/LWf+/Pms+PlXktIyaj1fU0KIsoEwJzRrg9CbK7epd9nlEaK0Amu8rmVmZnLu3Dmg/hau/HkbMsa4vRCiFDgcQpR2IiEhQQShN4MQZSMjvmasnSYvyvJPVJpCUsaAJ06cYMOGDUiShE6na7TzNwWavCgFzY8mLUpJkpg6dSoTJkxg4sSJTJgwocmkF154geeff7jXDvkAABdcSURBVL5RzqVcm+nTp9v7ltWJJi1KgOTkZM6fP8+FCxc4f/68w6f4+HjOnz/PmjVr+Pzzzzl//jxxcXENek7l2qSkpNj7dtWJJi/KpsqJEydMT3QEFWnyoqztwzBHTYonX1mWkSSp0c7bFGjyohQ0P4Qo7YTVQeibMUKUjYwtF88bQszKG/XKeqo9unwhSjthTRD6hhofOsobSEKUTQyTQGSJy9nZFF637mtMhRve3AycPhHNnj17OHTkGEWlWpuUXx+EKO1Efn4+6enp9TpGEaSkKeT1l5/D19uPOQuNTrKseX5uesdz1yZ6d+uEv58fbUNC8PPzxb9NCN8uXonUiLHFhSgbGeXGHjp0iJUrVwL1i/edduEMf+ndGb+W/qidXPjk658B2eIuVin3amYqwT5uhHTpy+69B8nJyeX0icM8ePdg1C6e7N5ndJzQGF25EGUjU16UdQ1Crwgh/tQRAn3c6dTnDg7uC6ddKz8+mmOdKJVzb1i9DA9vfzbvP1Nhf1F2Eh1a+/HCGx9XqEtDIkRpJwoKCsjKyqpTXkXIV7JSmfrmdPKKoSQ7ntY+7nzy7Sqg7l9GVkY5btuan/D08mfHIePb8MXFxrFq6dV0Qlv78dK0zwEhSkF1lAn0YuwBWnk6l4lStliUJg8cOem09fOk1x33kZ5XZDyNrpTJTz6Ii5s3J2KMcSSFKJsxlgahV74Byow/QqCnCx9/8yvWWEq4Icy9e7bRoV0wwe27MOO9D/jriDsJaR/G1p2RFfI1NEKUjYy1i+dymYAz44/QysPZ6u67AgYd/3rhCVq0aEFAgB8tWrTg4af/wXVd7YfaEiFKO2FpEPoKovR04ZNvbWMpdZoSxo4cgZdfIHOXriYlOYEPZ0zFx9OJ9l0GEJ+cU++6WooQZROjvChb2sBSGiNOyHw5623cPAPYFBGNrDiikSVijkXSysuFe/76RKOtVQpR2omcnBwSExOBesbRKRNlRtwRWnk62ab71msZ0bsLnQc8QLEO0zfser0eJD2vPjcO35ZBaBrJrboQZSOjCNDSIPQ3RHmUlh7OfPztamwhyntv7UaHfiO4rq1YTyQtLz5+L54B7UzRLhoaIcpGRrnZR44cYdWqVUA9RVl2fGb8Mdp4u/HZ3DVYs3iudN/zPpuJk7M7730yn1KTMyQDG35dgrebmkeefR1DDXGBbIkQpZ0oLi4mPz+/3scpljL97CFaeTjz3uwV2GKio9eWMPHpx/F0c6N1cAi9e/emXdsg3N3dGTrqYdKvNJ4/dSHKJkpJ4VVW//IzMXGpgI3EIkmcPHKIBXO/Y9q06Xzx5VeE7z3Q6C6rhSjtxMmTJ9mwYQPQNN48b8yXfYUoG5nyrgCtffPc+Ha4bcVS3pubydF/IyNEaSdsEYS+uSJEKXA4hCjthKVB6G8GhCgbGYvj6NxECFHaifoGob+ZEKK0Ezqdrs5B6G82hCjthOIsVVAVIUo7cfz4cdavXw+I7rsyQpSNjJjo1I4QpZ2oaxD6mxEhSoHDIURpJ1JTU4mOjgYst5TC65rAJthiTCm8rgkahPoEoS+PKa8kkZN9mcIi26x13vj8wUDMqRNERERw+Gg0xZrGX7YSorQTiq/z+nDD69p1/u8fz+Pr48fX368DbON17eDuzfTt3hk/Pz/atjV6XQsIbs93wuvazYFGo6l/EHrgYkIMg/uEmbyufTxnJbbwupaflUZbX3fahvVmZ+QBsrKyOXX8EGOH346zqxd79p8ExHffzZr6BKGv6HXNjY69B3Ng7x6be11z9/Jl877TFfYXX04hxN9TeF1rKihWprqwIOYmI+UnOnUNQq8ck5uZyptvvM2VMq9rbWzodW3r6h/x9L7hdU2x4qVXMwn292bS27ORZSHKZo3FQegbyOta4eVLhPh50vvOkWReLTaeRq9h8pNjhde1poIsSRgMenQ6HVqttkLS6XTo9Xr0ets/PmxIr2tRu7dyS0gQIbd04/0PPmbsvUMJDunE5h3hFfI1NEKU9cRgMPou2bN1Nb179aRTp06EhYVVSJ3DwujapQvTPl1QdkxVwSQkJLB//37ACgdXNve6pjV5XfPz86VFixY88vfJjeYZQ0GIsp4oAkpPvcCPPy5nyZIlLFmyuOzfJSxevJilS5eydOlSDkYbXTWXtzA2dQVoY69rDz1wD15+gXy3ZJXR69q7U/H1dCa060DOp+RWaH9DIkRpJ06dOsWmTZsAyy1lg3hdCz+G6SckS5w5GkGgtyv3jnlSeF1zdGRZKhs3mk+2/iYbGtrr2ihK9GVe16Qyr2uygVeee1h4XbsZKCoqIi8vr97HNZjXtX7d6Hjr3dV4XdMz4YlReASEUNRIcZ6EKBsZ5WYfPnyYX3/9FXAMr2tzP30PZxd3Zn66AI1eMi4JyQY2rlqGh3MLHnnmdfQG0X03S2zln7IhvK698NRjeLq60bJ1EH369OGW9iF4enpx1/3juJQrvK41e3Jzc0lJSQEsu9ElhVdZ9fNKzpyzvIwqGAwcP3SAud9+w9tT32b27C/YE7lPeF0TOCbC69pNQFxcHHv27AEsX/sTXtcENsGWQeibK0KUdiI2NpYdO3YA4rvvyghRChwOIco6oHy6YIukfCWYl5fHpUuXKmxrDskWCFHaiTNnzpjctggqIkRZA0rkrfnz5zNp0iReeuklJk2aZFWaOHEikyZN4sEHH2T48OEVtjXVVL7+lkRRq4wQZR3IyMggLi7OpunUqVNER0cTFxfHuXPnbF6+vZIt3BsKUQocDiHKOlL54zBLk+IK5cyZM2zdutXkJsVW5ds72QIhykZGLJ7XjhClnbA0CP3NgBCloArl107tgRClnbA0CH1DYq4ewutaM8fal3wbHpm4s7FERERw4tQZDErob/HqWvNFubmWBqFvCJQ6Xc1JZ9yY+3H3cKdly5b4eHnTb9Awjp9NqZCvoRGitBOWBqFvCGRZBoOe0cMH4+zZkvnLfiEpKYltf6ylbaA3Id0GkFfmkUB8DiFocBQrfSxiMx6urnz4zU+Uf284OnIj3u6uzP5+NVjgU9MShCjthKMEoVdE+f5b/8QnsANJ2deRJMn03B9dCd3bteT2e8ajbaRRhhBlI1PeFaAjLJ7LsgySjidGDiEwtJfJb5CpmzboeOqBwQSEdOd6I/kUEqK0E4mJiRw6dAhwgCUhycDwvr3p1PceSssJzyhYPf/30mO4BISSWaAt296w1RGiFAAy/fr2IKz//ZRUtoaygSmv/A1n/w6k5ZYCIMkNO9wQorQTGRkZxMTEAA5gKWWJwb170fm2+6taStnAG5OfwMnvFi7maYCGHwMLUTYytoijY3P0Wh4eNoi2YQOqjiklPRMfuRuvNp3I1yj7GrY6QpR2wlGC0BvPLTPtXy/iF9yZ7Gs60/c2xvXLUm7v1p7O/YZTKryuNW8cJQi9YqWjNq3G28Obn//cW2F/duJZfN2cmDz1E2SE09RmjbIW6AjIsoysK2Vgz64EdezJmYRUJBmuZGcw7u5BuHi14kT8RUCIslnjSEHolfFjYtxpwkKD8PQNoHOXLvj7euPu48/XS1aJiGPNGYec6HCjXtfyclm+5HvenjqVuQsWEhufiNyIggQhSruRlpbGyZPG0HJ2XxIqw1w9Grt+QpSCCigfspWP+d3YCFHaiZSUFI4ePQo4jqV0FIQoGxlFgIcOHeLnn38GHGNM6UgIUdoJnU5HaWmpvavhkAhRChwOIUqBwyFEKXA4hCgFDocQpcDhEKIUOBxClAKHQ4hS4HAIUQocDiFKgcMhRClwOIQoBQ6HEKXA4RCiFDgcQpQCh0OIUuBwCFEKHA4hSoHDIUQpcDiEKAUOhxClwOEQohQ4HEKUAoejwUXZEPGgmzImZ6QCszSYKJXA6pVRArELBOZoEFGWF2NBQQHJycmkpaVRVFRkcVknT55kwIAB7N69G2g4n475+fkMHDiQOXPmALZ3qbJv3z7y8vJsWqa1OIpXYYUGs5SrVq3izjvvxMnJCZVKhUqlwt3dnWHDhrFp0yagbo6dFPFFRkaiVqsbLMimUpecnBxUKhX/+te/AGzibVcp+8SJE6jValPZ9vYhpNRr9OjRhIWFWWQ0GgKbilKSJHQ6HZMmTUKlUtGpUyf++9//snz5chYsWMCrr75KSEiISViK4MqHXVNS+TLBaGGcnZ1Zt25dhe1Q1X1d5aGDXq83a1kru7vLzc3FycmJN99807S/fF0qn6dyWQaDga+//pp33nkHg8GAVqs15cvOzmb06NGsWbOm3m2oXIfK9ampjdWhlH369GmT0fjll1+qtNke2EyUygWZOnUqKpWKN954o9qLVN8GKxdv7969qNVqU0SF8jfGFlS2lG+88YZF9QXo06cPL7/8cp3z19QGc/vMba/rJEpp18svv0z37t0ZPnw4gwYNqlcZDYVNRKk04syZM6hUKkaOHGnaZ84CKkiSxKFDh5g1axYTJkxgypQpbN682bRfOaayKMvPYrOzs1mwYAEvv/wyr732GvPnz+fChQsAFBYWMm/ePI4cOVKhrgrLli1jy5Ytpr8ri7J8933q1Ck++eQTJk6cyOuvv866desqtCknJ4c5c+bg7OzM8OHDmTNnDp9++ik7duwAjOPVb7/9lujoaFNdTG6dr11j6dKl/OMf/+Cll15i8eLFFBQUVMl34MABkwvBU6dO8c477/D8888zY8aMevu7LCkpwdvbm3fffZc///wTlUplum72FKZNRKncmLfffhu1Wk1ERESF7dWh/NJffPFFVCoV7du3Z9CgQQQFBaFSqZgwYYKpS4OqotTpjFGI/vzzT7y9vVGpVHTs2JF27dqhUqn46KOPAGMMRLVabbY7dnV15e677zZtqyxKjcYY0eidd95BpVIRHBzMoEGDaN++PSqVijFjxpjy/PDDD3Tq1AlnZ2f8/f3p0aMHnTp1Yvr06QDEx8ejVquZNWsWAFqtMdbh4cOHTfXu2bMnvXr1QqVS0bZtW1P8RiXva6+9hru7O5988gnu7u507dqVvn37mrrgBQsWADWLSrn2a9asQaVSceLECTQaDa6urrz11lu13ruGxqaWcujQoXh4eHDt2rU6HxMREcH+/ftN23U6Hc899xwqlYpTp06ZtiuiVMaUsiyTlJSEh4cH/fv3JyEhwZQ3OTnZFOD94sWLuLi4MGPGDKDqOC44OJhx48aZtlUWpSL+o0ePsmvXrgo3e/r06ajVarZt22baVlRUhFqt5vXXX6/S5uTkZFxcXJg9e7apLvn5+bRt25awsLAKbUhKSqJ79+4EBQWRl5dnqveHH36Is7MzwcHBJssIkJmZSe/evfH29jZZWHMobRgyZAhhYWGmsh999FECAwNNPwB7YdOJTqdOnejQoYPV5cTExODs7GwaeENVSwkwZcoUVCoV58+fB6q3DpcuXUKtVvPuu+8CVS1l69atefDBB03b6jOmvHLlCk5OTnz66aembVevXq0wey8/kUpOTkatVvPZZ5+Z8s+bNw+1Wk1UVJQpvykw/LFjqNVqPv/8c1P+Dz/8ECcnJ1auXGnKrwwx5s6di0ql4tixY6b2VcYUniQxEZVKVaHsXbt2oVKp2LhxY61tb0hsKsrOnTsTFhZm0bFXr17l7NmzHD16lBUrVqBWq1m2bJlpvyJKZeYKcOutt9KxY0egqgVULv7FixdrFGVgYCAPPfSQaVt1Y8ryYr927Rrx8fEcO3aMTZs2oVaref/99yu0o/Kyj1K3pKSkKqIcN24cXl5eaDSaCudRHjK0atWK++67z7R95syZODk5ER8fbwpXp8zU161bh5OTE5GRkaYyKqO0f/r06Xh6elZZM+3YsaNpTmCvcaVNRTlo0CC8vb3r5Tb5559/ZuDAgfj5+dGqVSuCg4MJDAw0K8rys+/g4GCGDRsGVL2Ayt+XLl1CpVKZFWWbNm1qtJSKFdq0aRNDhw4lICCAli1bEhQUZBr/KuNXME5mahNlecs6ePBgQkNDzV6fPn360KNHD9PfM2bMQKVSkZ6ebtqmtGndunWoVCqT1TUnqtLSUjp27IhKpaJr16507tyZTp060aVLF5ycnHBzcyM1NbXGMhoSm050Jk6ciFqt5syZM6ZfcXUo22fPno1KpeLpp58mKiqK1NRUCgsLOXjwIGq1muXLl5uOqWwpJUkiJCSEO+64AzAvSsVSVjem1Ov1BAQE1GgpAVasWIFKpWL06NHs3LmT5ORkrl27RkJCAmq1mg8++MCUt7Ioy1+H6kQ5YsQIgoKCzF7brl270q9fP9PfM2bMoEWLFmRkZJjaWV6U5YcCla+/8veGDRtQqVQ89NBDjB8/vkJ6/PHHUalU/O9//wPs04XbRJRKYzdu3IhareaVV14BbiwHle9mFMuj1Wrx9fVlyJAhVcpTRKlE5ILqx5RDhgwhKCjIdGPKn0epkzKmnDZtmmlxX8lTUFCAs7Mzjz76qKnMyqKUZZnu3bvTuXPnKvVUxojlLaUypvz3v/9d4aEAVN99T548GRcXF65evVqlDaWlpXh6elao33vvvYdKpapRlEr3bU6UI0eOpHXr1lXao9C3b19uueWWpj+mlGUZnU7HgAEDUKlUrF69usb8169fR61WV7jgCi+//DJqtZoVK1aYtu3bt6/C7Bvgiy++QK1WV1jXrExhYSGurq6MHTu2yr5ff/0VtVrN3/72N9O23NxcVCoVU6ZMAYw3Mjg4mIEDB1Y5/oMPPqhi+a5fv46TkxPPPPNMlfzVTXSioqJQq9V89913VfL/9NNPVcbRiigzMzNN2xSxrV+/voKlrDxGBUhPT8fJyYm3334bWZZNT5wMBgMajQZJkli0aBEqlcqsuBsam4oS4Ny5c6Y1vCeeeIL169cTHR3NgQMHWL16Na+++iopKSkA3HnnnahUKtatW0dWVhZnz57llVdeITQ0FCcnJxYvXmwqv7rF84KCArp164arqyuLFi0iLi6O06dPs2DBAlMwTjBOJlQqFV999RXJycmkpKQwf/582rZti6enJ4899pgpb3Xd91NPPYVKpeKHH34gKyuLhIQE/vvf/xIaGoq7u7tp3VHpBfr374+HhwcRERGkp6eTlJQEVO2+leUmpfw5c+aQnJxMamoqCxYsQKVSMWLECPR6valsZUxZX0up5Pnwww9rXbHIy8vD3d3ddF2arCjhRgPT0tJ44YUXcHNzMy3qKikwMJDExETA+Ny1T58+qFQq1Go1zs7O3HnnnaSkpBASEmJaCAajpXRxcTGJTblJycnJjBw5ssp5vvnmG1Od0tLSGDFihGmfk5MTrVu3ZsuWLYwcOZJRo0aZzpObm4uzs7NpEVmSJNLS0kw/IJVKhbOzMz179iQ+Pp5bb72VadOmATcWuPfu3UtISIgp//jx4wFISEiosE6pzOy1Wi2vv/56hZdXVCoVzz77rGnNURHwzJkzcXZ2rtZS/vbbb7i4uJid6Gi1Wjp27MjQoUOr3V++rBdeeAFPT0+ys7PrcOdti83fEqr82lp0dDQ7d+5k//79XLhwocqF0Ol0HDlyhC1bthATE2Panp6eTmFhoelvjUZDSkoKxcXF1Z4rKSmJnTt3EhUVZbIilTl79izbtm3j4MGDpqcwly9frnDhJUkiJSXFtFRS/hzHjx9ny5YtHD9+3LQtKyuLq1evVjlXQUEBERER7N69m6ysLMAowpSUFLOL27m5uURGRrJ7926zbcjPzyclJaXa8V5xcTEpKSmmtlVGr9eTmJhYp4cbJSUlVa53Y9Fg71PWxeTbImpqXd5oN7e/rt1SfetpyTJKdXW5Wd9Sb9DPIRRxlp9VVkflGbNybHXl1XQupYyaRFjdecwtJ1laT2W70ubqJhz1Oaa6fJbsU/bXVejNYvFcILAFQpQCh0OIUuBwCFEKHA4hSoHDIUQpcDiEKAUOhxClwOEQohQ4HEKUAodDiFLgcAhRChwOIUqBwyFEKXA4hCgFDsf/AzbP+bR+71rbAAAAAElFTkSuQmCC[/img][br]Look at Calculation A. Explain how you can tell that the 36 means “36 tenths” and the 18 means “18 hundredths.”[br]
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[/img][br]Look at Calculation B. What do the 3600 and 1800 mean?[br]
We can think of [math]48.78:9=5.42[/math] as saying, “There are 9 groups of 5.42 in 48.78.” We can think of [math]4878:900=5.42[/math] as saying, “There are 900 groups of 5.42 in 4878.” How might we show that both statements are true?[br]
[size=150]Explain why [math]51.2:6.4[/math] has the same value as [math]5.12:0.64[/math].[/size]
[size=150]Write a division expression that has the same value as [math]51.2:6.4[/math] but is easier to use to find the value. Then, find the value using long division.[/size]
Find each quotient. Discuss your quotients with your group and agree on the correct answers. Consult your teacher if the group can't agree.
[math]106.5:3[/math]
[math]58.8:0.7[/math]
[math]257.4:1.1[/math]
Mai is making friendship bracelets. Each bracelet is made from 24.3 cm of string. If she has 170.1 cm of string, how many bracelets can she make? Explain or show your reasoning.
IM 6.5.13 Practice: Dividing Decimals by Decimals
[size=150]A student said, “To find the value of [math]109.2\div6[/math], I can divide 1,092 by 60.”[br][/size][br]Do you agree with her? Explain your reasoning.[br]
Calculate the quotient of [math]109.2\div6[/math] using any method of your choice.
[size=150]Here is how Han found [math]31.59\div13[/math]:[/size][br][img]data:image/png;base64,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[/img][br]At the second step, Han subtracts 52 from 55. How do you know that these numbers represent tenths?[br]
At the third step, Han subtracts 39 from 39. How do you know that these numbers represent hundredths?[br]
Check that Han’s answer is correct by calculating the product of 2.43 and 13.[br]
[size=150]Write two division expressions that have the same value as [math]61.12\div3.2[/math].[/size][br]
[size=150]Find the value of [math]61.12\div3.2[/math]. Show your reasoning. [/size]
[size=150]A bag of pennies weighs 5.1 kilograms. Each penny weighs 2.5 grams. About how many pennies are in the bag?[/size]
Find each difference. If you get stuck, consider drawing a diagram in the applet below.
[math]2.5-1.6[/math]
[math]0.72-0.4[/math]
[math]11.3-1.75[/math]
[math]73-1.3[/math]
[size=150]Plant B is [math]6\frac{2}{3}[/math] inches tall. Plant C is [math]4\frac{4}{15}[/math] inches tall. Complete the sentences and show your reasoning.[/size][br][br]Plant C is _______ times as tall as Plant B.[br]
Plant C is _______ inches ____________ (taller or shorter) than Plant B.[br]
At a school, 460 of the students walk to school.
The number of students who take public transit is 20% of the number of students who walk. How many students take public transit?[br]
The number of students who bike to school is 5% of the number of students who walk. How many students bike to school?
The number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?