Answer:
1. 6,471 rounded to the nearest thousand is 6,000.
2. 41,348 rounded to the nearest hundred is 41,300, and 19,749 rounded to the nearest hundred is 19,700. Their sum rounded to the nearest hundred is 61,000.
3. 38,652 rounded to the nearest hundred is 38,600, and 14,549 rounded to the nearest hundred is 14,500. Their difference rounded to the nearest hundred is 24,100.
4. 396 rounded to the nearest hundred is 400, and 748 rounded to the nearest hundred is 700. Their product rounded to the nearest hundred is 280,000.
5. Subtracting 28 from both sides of the equation, we get t = 26.
6. Dividing both sides of the equation by 28, we get x = 6.
7. Subtracting 12 from both sides of the equation, we get y = 15.
8. 10 • 24 = 240. 18 + 2 = 20. 20 ÷ 4 = 5. 9 - 7 = 2. Therefore, the expression simplifies to:
240 - 5 - 2 = 233.
9. First, we need to evaluate the expressions inside the parentheses:
56 ÷ 8 = 7
8 • 8 = 64
5 • 5 = 25
20 - 7 = 13
64 - 25 = 39
Substituting these values into the expression, we get:
80 ÷ 16 x (13 + 39) = 5 x 52 = 260.
10. 5 to the power of 4 is 5 x 5 x 5 x 5, which equals 625.
11. 6 cubed is 6 x 6 x 6, which equals 216.
12. Natasha has $196 and needs $698 for a computer. To find out how much more she needs, we subtract the amount she has from the amount she needs:
698 - 196 = 502.
Natasha needs $502 more to buy the computer.
13. Toni's new balance in his checking account is the sum of his original balance and his new deposit:
406 + 78 = 484.
His new balance is $484.
14. The beverage company packed 228 cans of soda in 12-can cases. To find out how many cartons were filled, we divide the total number of cans by the number of cans in each case:
228 ÷ 12 = 19.
The company filled 19 cartons.
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