Question

round to the nearest ten.
759
856
523
685
652
980
155
374
410
253
677

Explanation:

To round a number to the nearest ten, we look at the ones digit. If the ones digit is 5 or greater, we round up (increase the tens digit by 1 and set the ones digit to 0). If the ones digit is less than 5, we round down (keep the tens digit the same and set the ones digit to 0). Let's go through each number:

759

• Step 1: Identify the ones digit. In 759, the ones digit is 9.
• Step 2: Since 9 ≥ 5, we round up. The tens digit is 5, so we increase it by 1 to get 6, and set the ones digit to 0.
• Result: 760

856

• Step 1: The ones digit is 6.
• Step 2: 6 ≥ 5, so we round up. The tens digit is 5, increase it by 1 to 6, and set the ones digit to 0.
• Result: 860

523

• Step 1: The ones digit is 3.
• Step 2: 3 < 5, so we round down. Keep the tens digit (2) the same and set the ones digit to 0.
• Result: 520

685

• Step 1: The ones digit is 5.
• Step 2: 5 ≥ 5, so we round up. The tens digit is 8, increase it by 1 to 9, and set the ones digit to 0.
• Result: 690

652

• Step 1: The ones digit is 2.
• Step 2: 2 < 5, so we round down. Keep the tens digit (5) the same and set the ones digit to 0.
• Result: 650

980

• Step 1: The ones digit is 0.
• Step 2: 0 < 5, so we round down. The number is already a multiple of 10, so it stays 980.
• Result: 980

155

• Step 1: The ones digit is 5.
• Step 2: 5 ≥ 5, so we round up. The tens digit is 5, increase it by 1 to 6, and set the ones digit to 0.
• Result: 160

374

• Step 1: The ones digit is 4.
• Step 2: 4 < 5, so we round down. Keep the tens digit (7) the same and set the ones digit to 0.
• Result: 370

410

• Step 1: The ones digit is 0.
• Step 2: 0 < 5, so we round down. The number is already a multiple of 10, so it stays 410.
• Result: 410

253

• Step 1: The ones digit is 3.
• Step 2: 3 < 5, so we round down. Keep the tens digit (5) the same and set the ones digit to 0.
• Result: 250

677

• Step 1: The ones digit is 7.
• Step 2: 7 ≥ 5, so we round up. The tens digit is 7, increase it by 1 to 8, and set the ones digit to 0.
• Result: 680

Final Answers:

759: \(\boldsymbol{760}\)
856: \(\boldsymbol{860}\)
523: \(\boldsymbol{520}\)
685: \(\boldsymbol{690}\)
652: \(\boldsymbol{650}\)
980: \(\boldsymbol{980}\)
155: \(\boldsymbol{160}\)
374: \(\boldsymbol{370}\)
410: \(\boldsymbol{410}\)
253: \(\boldsymbol{250}\)
677: \(\boldsymbol{680}\)

Answer:

To round a number to the nearest ten, we look at the ones digit. If the ones digit is 5 or greater, we round up (increase the tens digit by 1 and set the ones digit to 0). If the ones digit is less than 5, we round down (keep the tens digit the same and set the ones digit to 0). Let's go through each number:

759

• Step 1: Identify the ones digit. In 759, the ones digit is 9.
• Step 2: Since 9 ≥ 5, we round up. The tens digit is 5, so we increase it by 1 to get 6, and set the ones digit to 0.
• Result: 760

856

• Step 1: The ones digit is 6.
• Step 2: 6 ≥ 5, so we round up. The tens digit is 5, increase it by 1 to 6, and set the ones digit to 0.
• Result: 860

523

• Step 1: The ones digit is 3.
• Step 2: 3 < 5, so we round down. Keep the tens digit (2) the same and set the ones digit to 0.
• Result: 520

685

• Step 1: The ones digit is 5.
• Step 2: 5 ≥ 5, so we round up. The tens digit is 8, increase it by 1 to 9, and set the ones digit to 0.
• Result: 690

652

• Step 1: The ones digit is 2.
• Step 2: 2 < 5, so we round down. Keep the tens digit (5) the same and set the ones digit to 0.
• Result: 650

980

• Step 1: The ones digit is 0.
• Step 2: 0 < 5, so we round down. The number is already a multiple of 10, so it stays 980.
• Result: 980

155

• Step 1: The ones digit is 5.
• Step 2: 5 ≥ 5, so we round up. The tens digit is 5, increase it by 1 to 6, and set the ones digit to 0.
• Result: 160

374

• Step 1: The ones digit is 4.
• Step 2: 4 < 5, so we round down. Keep the tens digit (7) the same and set the ones digit to 0.
• Result: 370

410

• Step 1: The ones digit is 0.
• Step 2: 0 < 5, so we round down. The number is already a multiple of 10, so it stays 410.
• Result: 410

253

• Step 1: The ones digit is 3.
• Step 2: 3 < 5, so we round down. Keep the tens digit (5) the same and set the ones digit to 0.
• Result: 250

677

• Step 1: The ones digit is 7.
• Step 2: 7 ≥ 5, so we round up. The tens digit is 7, increase it by 1 to 8, and set the ones digit to 0.
• Result: 680

Final Answers:

759: \(\boldsymbol{760}\)
856: \(\boldsymbol{860}\)
523: \(\boldsymbol{520}\)
685: \(\boldsymbol{690}\)
652: \(\boldsymbol{650}\)
980: \(\boldsymbol{980}\)
155: \(\boldsymbol{160}\)
374: \(\boldsymbol{370}\)
410: \(\boldsymbol{410}\)
253: \(\boldsymbol{250}\)
677: \(\boldsymbol{680}\)