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Estimate Products 2 CCSS: 4.NBT.5 93 x 68 90 x 70 6,300 74 4 + 55 8 6,
Objective: Accurately estimate products and compare estimates to exact products. Estimate Products 2 In 2-digit by 2-digit multiplication, your only option is to round to the greatest place (the tens). 2nd: Find the exact product. 1st: Find the estimated product. After finding the first partial product (744 in this problem), put a line through any carried digits. 1 2 93 x 68 90 x 70 Leave some space in case you need to carry a digit when adding the partial products. 1 6,300 74 4 1 + 55 8 Before multiplying by the tens digit (6 in this problem), put a place holder zero in the ones place of the partial product. 6, 3 2 4 THINK when you find your product. Is it close to the estimate? The 6 is really 60 which equals 6 x 10. (If it isn’t, there is probably a mistake to find.)
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1st: Find the estimated product. 1st: Find the estimated product.
Classwork Directions: Round each factor and multiply to estimate. Then in a separate problem, multiply the original factors to find the exact product. 2nd: Find the exact product. 1st: Find the estimated product. 2nd: Find the exact product. 1st: Find the estimated product. 1. 2. 4 26 x 17 30 41 x 24 40 x 20 x 20 1 600 800 18 2 16 4 + 2 6 + 8 2 4 4 2 9 8 4 If both factors are rounded up, the estimate will be greater than the exact product. If both factors are rounded down, the estimate will be less than the exact product.
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The only exception when stacking factors is when there is a repeated digit. Placing that factor on the bottom could save some work.. When stacking factors, almost always put the greater factor on top. 39 x 62 53 x 77 7. 8. 2nd: Find the exact product. 1st: Find the estimated product. 2nd: Find the exact product. 1st: Find the estimated product. 1 2 62 x 39 60 53 x 77 50 x 40 x 80 1 2,400 4,000 55 8 37 1 1 1 + 18 6 + 371 2, 4 1 8 4, 8 1 After putting the place holder 0 in the ones place, you multiplied by 7 in the previous step, so just copy the rest of the partial product from the one above.
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The words “about” or “approximately” tell you to use rounding to
Word Problems – Answer in a complete sentence with the correct number and proper label. 13. Which two words tell you to use rounding in order to estimate a product? _____________________________________________________________________ The words “about” or “approximately” tell you to use rounding to estimate the product. 14. If both factors in a multiplication problem are rounded up, the estimate will be ______________ the exact product. greater than 15. If both factors in a multiplication problem are rounded down, the estimate will be ___________ the exact product. less than
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